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'''Scientific method''' is the way that scientists investigate [[phenomenon|phenomena]] and acquire new [[knowledge]]. It is based on [[observable]], [[empirical]], measurable evidence, and subject to [[deductive reasoning|laws]] of [[inductive reasoning|reasoning]].
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Scientists propose [[hypothesis|hypotheses]] to explain [[phenomena]], and design [[experiment]]al [[research|studies]] to test these. [[Theory#Science|Theories]] that encompass whole domains of inquiry bind hypotheses together into logically coherent wholes. This aids in formulating new hypotheses, as well as in placing groups of hypotheses into a broader context.  
<onlyinclude>{{Image|Hume.jpg|right|300px|Statue of [[David Hume]]. ''"Man is a reasonable being; and as such, receives from science his proper food and nourishment: But so narrow are the bounds of human understanding, that little satisfaction can be hoped for in this particular..."''
Hume recognised clearly the difficulties in gaining a general understanding merely by accumulating observations.}}
Scientists use a '''scientific method''' to investigate phenomena and acquire [[knowledge]]. They base the method on verifiable observation &mdash; i.e., on replicable [[empirical]] evidence rather than on pure logic or supposition &mdash; and on the [[reasoning|principles of reasoning]].<ref>[[Isaac Newton]] (1643-1727) [http://www.fordham.edu/halsall/mod/newton-princ.html The Rules of Reasoning in Philosophy] Excerpts in: The Mathematical Principles of Natural Philosophy. Source:  [http://www.fordham.edu/halsall/mod/modsbook.html Modern History Sourcebook]</ref> <ref>[http://www.archive.org/details/newtonspmathema00newtrich Full-Text: Newton's Principia: The Mathematical Principles of Natural Philosophy (c1846), including BOOK III. RULES OF REASONING IN PHILOSOPHY]</ref> Scientists propose explanations &mdash; called [[hypothesis|hypotheses]] &mdash; for their observed phenomena, and perform experiments to determine whether the results accord with (support) the hypotheses or falsify them. They also formulate [[Theory#Science|theories]] that encompass whole domains of inquiry, and which bind supported hypotheses together into logically coherent wholes. They refer to theories sometimes as ‘models’, which often have a mathematical or computational basis.<ref name=leng2008>Leng G, MacGregor DJ. (2008) [http://dx.doi.org/10.1111/j.1365-2826.2008.01722.x Mathematical Modelling in Neuroendocrinology]. ''Journal of Neuroendocrinology: From Molecular to Translational Neurobiology'' 20:713-718.
*'''<u>Excerpt:</u>''' Our science is not only about facts, but also about explanations; rational  accounts of phenomena, embedded in a framework of theory, which include a wide range of observations and which are predictive of behaviour in circumstances as yet untested. We all seek to explain the world of observations using a set of logically interacting components, and we all simplify by recognising that some observations are important while others can be reasonably neglected. Formulating such explanations mathematically is a natural ambition, because this ensures their logical consistency, and makes them open to structured analysis; it is a stringent test of their intellectual coherence.</ref> <ref name=mathscope>Citizendium Collaborators. (2009) [http://en.citizendium.org/wiki/Biology%27s_next_microscope:_Mathematics Biology’s Next Microscope: Mathematics.] Citizendium Free Online Encyclopedia.
*'''<u>Excerpt:</u>''' Mathematics broadly interpreted is a more general microscope. It can reveal otherwise invisible worlds in all kinds of data, not only optical….Charles Darwin was right when he wrote that people with an understanding “of the great leading principles of mathematics... seem to have an extra sense”….Today’s biologists increasingly recognize that appropriate mathematics can help interpret any kind of data. In this sense, mathematics is biology’s next microscope, only better.</ref></onlyinclude>
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==Elements of scientific method==
__TOC__
<blockquote>
<br>
''"Science is a way of thinking much more than it is a body of knowledge." '' ([[Carl Sagan]]<ref>Sagan C. The fine art of baloney detection. Parade Magazine, p 12­13, Feb 1, 1987.</ref>).
</blockquote>
<blockquote>
''". . .science consists in grouping facts so that general laws or conclusions may be drawn from them."'' ([[Charles Darwin]])
</blockquote>


The scientific method involves:
==Components of the scientific method==
* '''Observation'''.  A constant feature of scientific inquiry.
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* '''Description'''.  Information must be reliable, i.e., replicable (repeatable) as well as valid (relevant to the inquiry).
|Science is said to proceed on two legs, one of theory (or, loosely, of deduction) and the other of observation and experiment (or induction). Its progress, however, is less often a commanding stride than a kind of halting stagger — more like the path of the wandering minstrel than the straight-ruled trajectory of a military marching band. The development of science is influenced by intellectual fashions, is frequently dependent upon the growth of technology, and in any case, seldom can be planned far in advance, since its destination is usually unknown.
* '''Prediction'''.  Information must be valid for observations past, present, and future of given phenomena, i.e., purported "one shot" phenomena do not give rise to the capability to predict, nor to the ability to repeat an experiment.
:&mdash;Timothy Ferris, ''Coming of Age in the Milky Way'' (1988)<ref>Ferris T. (1988) ''Coming of Age in the Milky Way''. New York: Morrow, ISBN 0688058892. | [http://books.google.com/books?id=k0vCHGD5Y00C&printsec=frontcover#v=onepage&q=trajectory&f=false Google Books preview, 2003 edition].</ref>
* '''Control'''.  Actively and fairly sampling the range of ''possible'' occurrences, whenever possible and proper, as opposed to the passive acceptance of opportunistic data, is the best way to control or counterbalance the risk of empirical bias.
|}
* '''Falsifiability''', ''All hypotheses and theories are in principle subject to disproof''.  
{{-}}
* '''Causal explanation'''. Many scientists and theorists on scientific method argue that concepts of causality are not obligatory to science, but are in fact well-defined only under particular, admittedly widespread conditions. Under these conditions the following requirements are generally regarded as important to scientific understanding:
<!--<blockquote>''"Science is said to proceed on two legs, one of theory (or, loosely, of deduction) and the other of observation and experiment (or induction). Its progress, however, is less often a commanding stride than a kind of halting stagger — more like the path of the wandering minstrel than the straight-ruled trajectory of a military marching band. The development of science is influenced by intellectual fashions, is frequently dependent upon the growth of technology, and in any case, seldom can be planned far in advance, since its destination is usually unknown."'' Timothy Ferris, ''Coming of Age in the Milky Way'' (1988)</blockquote>-->
:* '''Identification of causes''' 
{{Image|Research cycle.png|right|300px|A simplified depiction of the cyclic nature of scientific research: An initial observation triggers an idea that is being developed into a hypothesis which &mdash; if funds, equipment and the necessary expertise are available &mdash; may lead to experimental data (or other forms of verifiable evidence) that can support or contradict the hypothesis or other existing theoretical descriptions of the system at hand, which in turn can trigger independent replication or falsification of this particular experiment if the relevant information are made available to other researchers. Traditionally, this publication step would be achieved solely via articles in toll-access [[scientific journal]]s but initiatives like [[Open access]], [[Open Source]] and [[Open Data]] are increasingly making all these individual steps public, which is facilitated through the use of [[Web 2.0]] technologies in what has come to be called [[Science 2.0]].}}
:* '''Covariation of events'''. The hypothesized causes must [[correlate]] with observed effects.
:* '''Time-order relationship'''.  The hypothesized causes must precede the observed effects in time.


The essential elements of a scientific method are [[iteration]]s, [[recursion]]s, [[interleaving]]s, and [[Partially ordered set|orderings]] of the following:
Generally accepted components of a scientific method are:
*[[#Characterizations|Characterizations]] (Quantifications, observations, and measurements)
* ''Observation.''<ref> According to the [[logical positivist]] philosopher [[Rudolf Carnap]], philosophers and scientists use the term 'observable' in different ways. To philosophers, 'observable' applies to properties that are directly perceived by the senses, such as "blue", "hard" and "hot". To scientists, the word includes anything  that can be measured relatively simply and directly. Carnap R (1966)[http://www.marxists.org/reference/subject/philosophy/works/ge/carnap.htm Theories and Nonobservables] from ''Philosophical Foundations of Physics'' Basic Books, ASIN B0000CN9NI </ref> Observations do not just await discovery, rather they often result from active exploration, questioning, sharing ideas and information among scientists, thinking creatively. Moreover, according to most current views, observations do not come into view wholly independently of some predetermined or preconceived theory; scientists struggle to keep their preconceptions and presuppositions out of the picture.<ref>[http://www.galilean-library.org/theory.html Theory-ladenness] by Paul Newall at The Galilean Library</ref><ref>Darwin CR. (1861) [http://www.darwinproject.ac.uk/darwinletters/calendar/entry-3257.html Letter 3257 — Darwin, C. R. to Fawcett, Henry, 18 Sept (1861)]
*[[#Hypothesis development|Hypotheses]] (theoretical, hypothetical [[explanation]]s of observations and measurements)
:*'''Note:''' [[Charles Darwin|Darwin]] understood the point.  Excerpt from the letter to Fawcett: “About thirty years ago there was much talk that geologists ought only to observe and not theorise; and I well remember some one saying that at this rate a man might as well go into a gravel-pit and count the pebbles and describe the colours. ''How odd it is that anyone should not see that all observation must be for or against some view if it is to be of any service!”''” <nowiki>[</nowiki>Emphasis added<nowiki>]</nowiki></ref> Sometimes "believing is seeing".
*[[#Predictions from the hypotheses|Predictions]] ([[reasoning]] including [[logic]]al [[deduction]] from [[hypotheses]] and [[theories]])
*''Hypothesis.'' Hypotheses are general statements, formulated as plausible conjectures to explain existing observations and predict future observations.
*[[#Experiments|Experiments]] ([[Experiment|test]]s of all of the above)  
*''Experiment.''<ref> For [[Aristotle]], science was the product of reason applied to careful observations; [[Galileo Galilei]] by contrast used experiments as a way to interrogate Nature.</ref> An experiment is a procedure carried out under controlled conditions to discover an unknown effect; to provide confirming or disconforming evidence for a hypothesis, often based on whether a prediction of the hypothesis ensues; or, to illustrate an accepted theory. Not all areas of science involve direct experimentation; as an example for [[data-driven research]], the [[Human Genome Project]] largely involved (highly technical) interpretation of gene sequences, but the data were obtained by experimental investigation.
* ''Theory.'' A [[Theoretical biology|theory]] incorporates a set of supported hypotheses into a logical framework that overall explains the phenomenon studied. Not all of the statements of a theory are necessarily open to experimental testing, but many are expected to be for a theory to be considered scientific.  The scientific method usually involves further testing of its accepted satisfactory overall explanation of a phenomenon, as natural phenomena usually have more observable features than the theorist knows at the time the theory hatches.  A good theory will make accurate predictions about the behavioral aspects of the phenomenon studied, suggesting experiments to test its overall explanatory power.
* ''Prediction.'' A prediction is a logical deduction from a hypothesis (or theory) by which the hypothesis (or theory) can be tested experimentally.
* ''Testing.'' A 'test' of a hypothesis is an experiment, the results of which might falsify (disprove) the hypothesis; if the test does not falsify the hypothesis, the test is said to support ('confirm') the hypothesis. The same holds for testing theories.
* ''Causal explanation.''  Satisfactory explanations are often regarded as those that establish a cause-effect relationship. However, many scientists argue that concepts of causality are not obligatory to science, but are well-defined only under particular conditions.<ref>Dowe, Phil. (Fall 2008 Edition) [http://plato.stanford.edu/archives/fall2008/entries/causation-process/ Causal Processes.] ''The Stanford Encyclopedia of Philosophy. Edward N. Zalta.</ref> <ref>Woodward, James. (Spring 2009 Edition) [http://plato.stanford.edu/archives/spr2009/entries/scientific-explanation/ Scientific Explanation.] ''The Stanford Encyclopedia of Philosophy. Edward N. Zalta (ed.).</ref>
* ''Skeptical open mindedness.'' Progress in extending existing theoretical frameworks is made possible by a scientific culture that encourages challenges to existing theory, while also demanding that far-reaching conjectures are validated by exceptional evidence.<ref>'''<u>Note:</u>''' Regarding 'skeptical open mindedness', to paraphrase space engineer, James Oberg, open mindedness confers virtue unless it so opens the mind that one's brains fall out. (Cited by Carl Sagan, in ''The Demon-Haunted World: Science as a Candle in the Dark.'' Ballantine Books: New York, 1997. Preview Sagan's book at Google Books [http://books.google.com/books?id=q_Fp3tjPnkwC here].)
*'''<u>Excerpt:</u>''' Keeping an open mind is a virtue — but, as the space engineer James Oberg once said, not so open that your brains fall out. Of course we must be willing to change our minds when warranted by new evidence. But the evidence must be strong. Not all claims to knowledge have equal merit. (Page 187)</ref>


The element of [[observation]] includes both unconditioned observations (before any theory) as well as the observation of the experiment and its results. The element of [[experimental design]] must consider the elements of hypothesis development, prediction, and the effects and limits of observation because all of these elements are typically necessary for a valid experiment.
==Philosophy of scientific methods==
<blockquote>''If the purpose of scientific methodology is to prescribe or expound a system of enquiry or even a code of practice for scientific behavior, then scientists seem to be able to get on very well without it. Most scientists receive no tuition in scientific method, but those who have been instructed perform no better as scientists than those who have not. Of what other branch of learning can it be said that it gives its proficients no advantage; that it need not be taught or, if taught, need not be learned?'' [[Peter Medawar]]<ref>Medawar P (1982) ''Pluto's Republic'', Oxford University Press ISBN 0192830392; read [http://www.the-rathouse.com/Medawar_PlutoRepublic.html a review here]</ref></blockquote>
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| Evolutionary processes and, in general, scientific explanations of the world are often in contrast with the immediate and simple explanations that our brain gives of reality (e.g. the sun seems to turn around the earth, the earth seems to be flat), and are influenced by what Francis Bacon called "idola"[<ref name=hall>Hall MP. [http://www.sirbacon.org/links/4idols.htm The Four Idols of Francis Bacon: The New Instrument of Knowledge].
*<font face="Gill Sans MT">"In the Novum Organum (the new instrumentality for the acquisition of knowledge) Francis Bacon classified the intellectual fallacies of his time under four headings which he called idols. He distinguished them as idols of the Tribe, idols of the Cave, idols of the Marketplace and idols of the Theater…An idol is an image, in this case held in the mind, which receives veneration but is without substance in itself. Bacon did not regard idols as symbols, but rather as fixations."</font></ref>] (false notions or tendencies which distort the truth [<ref>Fantini F. (2005) Didattica dell'evoluzione. In Evoluzione tra ricerca e didattica, XIV – Special number Edited by: Associazione Nazionale Insegnanti di Scienze Naturali. Agnano Pisano: Stamperia Editoriale Pisana; 2005:203-209.</ref>]).<ref name=guidetti>Guidetti R, Baraldi L, Calzolai C, Pini L, Veronesi P, Pederzoli A. (2007)  [http://www.biomedcentral.com/1471-2148/7/S2/S Fantastic animals as an experimental model to teach animal adaptation]. ''BMC Evolutionary Biology'' 7(Suppl 2):S13 doi: 10.1186/1471-2148-7-S2-S13.</ref>
|}
Non-scientists often represent science as a dry, mechanical activity, involving accumulating large numbers of facts, whether by simple observations or by technologically ingenious means. Indeed, this ''is'' an important part of science, and technological advances in our ability to interrogate the world have played an essential part in the advance of science: we need only consider how the [[light microscope]], then the [[electron microscope]], and now the [[scanning tunneling microscope]]<ref>[http://nobelprize.org/educational_games/physics/microscopes/scanning/index.html Scanning Tunneling Microscope] at the Nobel Foundation's website</ref> and [[two-photon laser scanning confocal microscopy]] have radically changed our understanding of the world. However, observations, things that we might sometimes call 'facts', are just the beginning. Thus, according to [[Charles Darwin]] (1809-1882), "science consists in grouping facts so that general laws or conclusions may be drawn from them."<ref> From the autobiography of Charles Darwin, [http://www.worldwideschool.org/library/books/hst/european/TheAutobiographyofCharlesDarwin/chap2.html available online].</ref>


[[Imre Lakatos]] and [[Thomas Kuhn]] had done extensive work on the "theory laden" character of observation. Kuhn (1961) maintained that the scientist generally has a theory in mind before designing and undertaking experiments so as to make empirical observations, and that the "route from theory to measurement can almost never be travelled backward". This perspective implies that the way in which theory is tested is dictated by the nature of the theory itself which led Kuhn (1961, p. 166) to argue that "once it has been adopted by a profession ... no theory is recognized to be testable by any quantitative tests that it has not already passed".
But what exactly do we mean by ‘facts’? We sometimes disagree about the ‘facts’ we see around us, and some things in the world are at odds with our understanding. How much can we trust our senses to allow us to believe what we see? How do scientists ‘group’ facts? How do they choose which facts to attend to, and is it possible to do this in an objective way? And having done this, how do they draw any broader conclusions? Most importantly, how can we ever know ''more'' than we observe directly? We live in a world that is not directly understandable: we all ''interpret'' everything that we see and hear and feel, and to make sense of what our senses tell us we need to construct ''explanations'', or formulate theories. Our explanations identify some things as important and other things as irrelevant; they lead us to pay attention to some things and not others, and they lead us to expect some things to happen and not others &mdash; they lead, in other words, to predictions.  


Each element of scientific method is subject to [[peer review]]. These activities do not describe all that scientists do ([[#Dimensions of practice|see below]]) but apply mostly to experimental sciences (e.g., physics, chemistry).  
Nothing about this is unique to science, but scientists attempt to harness these universal elements of reasoning in a consistent, systematic and rigorous manner, and in a way that minimizes bias. What we call the 'scientific method' is an account of how scientists gather and report observations in ways that will be understood by other scientists and accepted as valid evidence, and how they construct explanations that are consistent with the world, and that can withstand logical and experimental scrutiny and provide the foundations for further increases in understanding.


The scientific method is an ongoing cycle, constantly developing more useful, accurate and comprehensive models and methods. For example, when Einstein developed the Special and General Theories of Relativity, he did not discount Newton's ''Principia''. On the contrary, if one reduces out the astronomically large, the vanishingly small, and the extremely fast from Einstein's theories — all phenomena that Newton could not have observed — one is left with Newton's equations. Einstein's theories are expansions and refinements of Newton's theories, and the observations that increase our confidence in them also increase our confidence in Newton's approximations to them.
For many, the scientific approach begins with an attitude of skepticism &mdash; a willingness to question accepted beliefs, expressed by [[René Descartes]] in 1637 as a determination "never to accept anything for true which I did not clearly know to be such". The English philosopher [[Francis Bacon]] (1561-1626), often described as the pioneer of the modern scientific method, proposed that scientists should "empty their minds" of self-evident truths and, by observation and experimentation, should draw general conclusions by a process known as [[induction (philosophy)|induction]].<ref> [[Francis Bacon|Bacon, Francis]] (1620) ''[[Novum Organum]] (The New Organon)''</ref> Bacon described many of the commonly accepted principles of scientific method, but recognised that to interpret nature, something more than observation and reason is needed:
:''...the universe to the eye of the human understanding is framed like a labyrinth, presenting as it does on every side so many ambiguities of way, such deceitful resemblances of objects and signs, natures so irregular in their lines and so knotted and entangled. ... No excellence of wit, no repetition of chance experiments, can overcome such difficulties as these. Our steps must be guided by a clue...''<ref>from ''Preface to The Great Instauration; 4.18'' quoted in Pesic P (2000) The Clue to the labyrinth: Francis Bacon and the decryption of nature [http://www.sirbacon.org/pesic.htm ''Cryptologia'']. Francis Bacon should not be confused with [[Roger Bacon]] (ca 1214-1294), a Franciscan friar who also has claims to be a pioneer of observation and experiment, and who was imprisoned when his work challenged the dogma of the Church.</ref>


The Keystones of Science project, sponsored by the journal ''[[Science (journal)|Science]]'', has selected a number of scientific articles from that journal and annotated them, illustrating how different parts of each article embody the scientific method. [http://www.sciencemag.org/feature/data/scope/keystone1/ Here] is an annotated example of the scientific method example.
The 'something more' that is needed comes from imagination and intuition, guided by reason and understanding. Scientists make ambitious 'leaps' to envisage possible explanations that make sense of what we see. Classically, the scientific method has thus been broken into basic facets that start with ''observations'' of nature and how it behaves and then making a ''prediction'' about how it might behave under different circumstances. Scientists propose a ''hypothesis'' and, by ''experiments'' test it by eliminating any plausible alternatives in a process of ''falsification''. Other scientists join in the process of hypothesis testing, while at the same time developing new hypotheses that seek to explain more and more, thereby building a foundation of knowledge that they call science. However all of this is guided by theory &mdash; a framework of accepted knowledge and understanding that guides our choice of questions to ask, guides our choices about how to go about answering those question, and guides our interpretation of the results of those experiments. This theoretical framework that captures what we think we already know is what provides the clues to know more. When we are mistaken in what we think we know, however, everything that we build on those foundations becomes unsafe, and when a new theory emerges much of what we thought we had learned has to be interpreted afresh. New theories are therefore embraced only with reluctance, only as a last resort, because of the inevitable disruption that entails.


A linearized, pragmatical scheme of the four above points is sometimes offered as a guideline for proceeding:
==Hypotheses==
<div class="boilerplate metadata" id="attention" style="background-color: #FFFCE6; margin: 0 2.5%; padding: 0 10px; border: 1px solid #aaa;"> 
<blockquote>''The man of science must work with method. Science is built up of facts, as a house is built of stones; but an accumulation of facts is no more a science than a heap of stones is a house. ''[[Henri Poincaré]], mathematician and philosopher (1854-1912)<ref>  Henri Poincaré (1905). [http://www.brocku.ca/MeadProject/Poincare/Poincare_1905_toc.html Science and Hypothesis]. London: Walter Scott Publishing.</ref></blockquote>
# Define the question
The philosopher [[Karl Popper]] (1902-1994), in ''The Logic of Scientific Discovery'' <ref> Popper K (1959) ''The Logic of Scientific Discovery'' (Translation of ''Logik der Forschung''). The Nobel prize winner Sir Peter Medawar called this book  "one of the most important documents of the 20th century" </ref> argued that the 'Baconian' process of induction &mdash; of gathering facts, considering them, and inferring general laws &mdash; is logically unsound, as many mutually inconsistent hypotheses might be consistent with any given facts.<ref>{{cite web |url=http://plato.stanford.edu/entries/induction-problem/ |title=The Problem of Induction (Stanford Encyclopedia of Philosophy) |accessdate=2007-11-16 |author=Vickers, J |date=2006 |publisher=Stanford Encyclopedia of Philosophy}}</ref> Rather, Popper argued that the good scientist begins with a bold speculation, a hypothesis, from which he logically deduces predictions that can be tested by experiments. Experiments are not designed to confirm or verify the hypothesis, quite the contrary, they are designed to ''test'' the hypothesis, by attempting to disprove it. He argued that this 'hypothetico-deductive' method was the only sound way by which science makes progress, and concluded that for a proposition to be considered scientific, it must, at least in principle, be possible to make an observation that would show it to be false. Otherwise, the proposition has, as Popper put it, no connection with the real world.
# Gather information and resources
# Form hypothesis
# Perform experiment and collect data
# Analyze data
# Interpret data and draw conclusions that serve as a starting point for new hypotheses
# Publish results
</div>


While this schema outlines a typical hypothesis/testing method, some philosophers, historians and sociologists of science (perhaps most notably [[Paul Feyerabend]]) claim that such descriptions of scientific method have little relation to the ways science is actually practiced.
==Responses to Popper: Thomas Kuhn and the Science Wars==
Popper's views were in marked contrast to those of his contemporary, [[Thomas Kuhn]] (1922-1996). Kuhn's own book ''The Structure of Scientific Revolutions'' was as influential as Popper's, but its message was very different. Kuhn analysed 'scientific revolutions' &mdash; times in the history of science when one dominant theory was replaced by another, such as the replacement of [[Ptolemy]]'s geocentric model of the Universe with the [[Copernicus| Copernican]] heliocentric model, and the replacement of Newtonian laws of motion with [[Albert Einstein|Einstein]]'s theory of [[Relativity]].  


====[[Image:DNA icon (25x25).png]]DNA example====
While in many respects, Popper seemed to be making flat assertions about 'good science', Kuhn attempted to work as a sociologist, and to report what scientists actually did. At least initially in his career, he believed in some form of scientific progress.
: Each element of scientific method is illustrated below by an example from the discovery of the structure of [[DNA]]:
:*''[[#DNA/characterizations|DNA/characterizations]]''
:*''[[#DNA/hypotheses|DNA/hypotheses]]''
:*''[[#DNA/predictions|DNA/predictions]]''
:*''[[#DNA/experiments|DNA/experiments]]''


Kuhn divided scientific development (to avoid the word 'progress') into two phases, times of [[normal science]] and times of [[paradigm shift]]. A [[paradigm]] is a logically consistent set of ideas that guides and constrains the work that scientists do. Scientific research conducted in accordance with a dominant paradigm is called ''normal science''. A ''paradigm shift'' occurs when a radical change occurs in the fundamental beliefs scientists hold about their field of study.


===Characterizations===
Kuhn concluded that falsifiability had played almost no role in scientific revolutions. He argued that scientists working in a field resist the alternative interpretations of 'outsiders', and tenaciously defend their world view by continually elaborating their shared theory; "normal science often suppresses fundamental novelties because they are necessarily subversive of its basic commitments".  
The scientific method depends upon increasingly more sophisticated characterizations of subjects of the investigation. (The ''subjects'' can also be called ''[[list of unsolved problems|lists of unsolved problems]]'' or the ''unknowns''.) For example, [[Benjamin Franklin]] correctly characterized [[St. Elmo's fire]] as [[electrical]] in [[nature]], but it has taken many experiments and theory to establish this.  


Scientific measurements taken are usually tabulated, graphed, or mapped, and statistical analyses of them. The measurements might be made in a controlled setting, such as a laboratory, or made on more or less inaccessible or unmanipulatable objects such as stars or human populations. The measurements often require specialized scientific instruments such as thermometers, spectroscopes, or voltmeters, and the progress of a scientific field is usually intimately tied to their invention and development.  
According to Kuhn, most progress is made in a scientific field when one theory is dominant. Progress occurs by the "puzzle solving" of scientists who are not trying to challenge the accepted theory, but are trying to extend its scope and explanatory power, bringing theory and fact into closer agreement by a "strenuous and devoted attempt to force nature into the conceptual boxes supplied by professional education".<ref>
Kuhn TS (1961) The Function of Measurement in Modern Physical Science ''ISIS'' 52:161–193
* Kuhn TS (1962)''The Structure of Scientific Revolutions'' University of Chicago Press, Chicago, IL. 2nd edition 1970, 3rd edition 1996
* Kuhn TS (1977) ''The Essential Tension, Selected Studies in Scientific Tradition and Change'' University of Chicago Press, Chicago, IL
*A [http://www.des.emory.edu/mfp/kuhnsyn.html Synopsis] from the original by Professor Frank Pajares, From the Philosopher's Web Magazine
*Moloney DP (2000) ''First Things'' '''101'''[http://www.firstthings.com/ftissues/ft0003/articles/kuhn.html 53-5]</ref>


Measurements also demand the use of ''[[operational definition]]s'' of relevant quantities. That is, a scientific quantity is described or defined by how it is measured, as opposed to some more vague, inexact or "idealized" definition. For example, [[electrical current]], measured in amperes, may be operationally defined in terms of the mass of silver deposited in a certain time on an electrode in an electrochemical device that is described in some detail. The operational definition of a thing often relies on comparisons with standards: the operational definition of "mass" ultimately relies on the use of an artifact, such as a certain kilogram of platinum-iridium kept in a laboratory in France.  
After the publication of 'The Structure of Scientific Revolutions' in 1962, Kuhn's revolution expanded. In the 1960s and 1970s, the academy (particularly in America) was in ferment. The development of radical and Marxist theory combined with political frustrations, and gave rise to a generation of academics who were deeply dissatisfied with the central narratives of American life, including scientific progress. Many of these academics latched on to Kuhn's ideas (and sometimes just his slogans) as a natural fit with their own ideas.  


The scientific definition of a term sometimes differs substantially from their [[natural language]] usage. For example, [[mass]] and [[weight]] overlap in meaning in common discourse, but have distinct meanings in physics. Scientific quantities are often characterized by their [[units of measure]] which can later be described in terms of conventional [[physical unit]]s when communicating the work.  
This frustration with mainstream science took a series of forms. In the 1970s, the conflict began with early skirmishes about [[intelligence testing]] and the small-scale, though ferocious, battle over [[sociobiology]]. (It is worth noting that the sociobiology affair remained primarily a dispute within science) The partisans of the sociobiology debate continued their struggle into the 1980s. In the 1990s, scholars from the humanities and social sciences launched an assault on the central beliefs of science in what came to be known, somewhat hyperbolically, as the [[science wars]].


Measurements are also usually accompanied by estimates of their [[uncertainty]]. The uncertainty is often estimated by making repeated measurements. Uncertainties may also be calculated by consideration of the uncertainties of the individual underlying quantities that are used. Counts of things, such as the number of people in a nation at a particular time, may also have an uncertainty due to limitations of the method used. Counts may only represent a sample of desired quantities, with an uncertainty that depends upon the sampling method used and the number of samples taken.  
==Theories==
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|The three [[Laws of Thermodynamics]] can be expressed in many different ways<ref>these examples are given as on a [http://www.grc.nasa.gov/WWW/K-12/airplane/thermo.html NASA web site]</ref>
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|[[Zeroeth Law]]:&nbsp;When two objects are separately in thermodynamic equilibrium with a third object, they are in equilibrium with each other.
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||[[First Law]] (Principle of Conservation of Energy):&nbsp;Between any two equilibrium states, the change in internal energy is equal to the difference of the heat transfer into the system and work done by the system.
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||[[Second Law]] (Carnot's Principle):&nbsp;A natural process that starts in one equilibrium state and ends in another will go in a direction that causes the [[entropy (thermodynamics)|entropy]] of the system plus the environment to increase for an irreversible process and to remain constant for a reversible process.
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A '''scientific theory'''<ref>In science, the term "theory" indicates a logically connected set of hypotheses supported by a significant body of evidence. In daily life the term is used as in  "that's just your theory", a hunch which may or may not be correct. This difference in meaning leads to miscommunication between scientists and laypersons, see: Helen Quinn, ''[http://ptonline.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=PHTOAD000060000001000008000001&idtype=cvips Belief and knowledge&mdash;a plea about language]'', Physics Today, January 2007. </ref> is an overarching world view in an area of science. A theory may include statements of general scientific laws, such as the [[Laws of Thermodynamics]], it has a logical structure and includes axioms and defined concepts, and broadly it seeks to provide a coherent explanation of a large body of observations, and to bind these together with a set of related hypotheses. Theories are a necessary part of science because they determine a common language by which scientists in a field can communicate &mdash; communication of ideas depends upon scientists sharing key assumptions and using a common terminology. A particular theory is adopted by a scientific community for complex reasons; theories are preferred when they are successful in explaining a wide body of observations, but also when they are elegant, aesthetically satisfying in a way that is hard to define. This is sometimes expressed as a preference for simple, clear explanations. In the 14th century, the English logician and Franciscan friar [[William of Ockham]] formulated the 'law of parsimony', commonly known as '[[Ockham's razor]]' &mdash; "entities should not be multiplied more than is needed" (in Latin, ''entia non sunt multiplicanda praeter necessitatem'').  


New theories sometimes arise upon realizing that certain terms had not previously been sufficiently clearly defined. For example, [[Albert Einstein|Albert Einstein's]] first paper on [[Special relativity|relativity]] begins by defining [[Relativity of simultaneity|simultaneity]] and the means for determining [[length]]. These ideas were skipped over by [[Isaac Newton]] with, "''I do not define [[time in physics#Galileo's water clock|time]], space, place and [[motion (physics)|motion]], as being well known to all.''" Einstein's paper then demonstrates that they (viz., absolute time and length independent of motion) were approximations. [[Francis Crick]] cautions us that when characterizing a subject, however, it can be premature to define something when it remains ill-understood.<ref>Crick F (1994) ''The Astonishing Hypothesis'' ISBN 0-684-19431-7 p.20</ref> In Crick's study of consciousness, he actually found it easier to study awareness in the [[visual system]], rather than to study Free Will, for example. His cautionary example was the gene; the gene was much more poorly understood before Watson and Crick's pioneering discovery of the structure of DNA; it would have been counterproductive to spend much time on the definition of the gene, before them.
An example of a current theory is the Theory of [[Evolution]] by [[natural selection|Natural Selection]]. This seeks to explain the characteristics of all currently living organisms as the products of evolution, acting mainly by natural selection of organisms for reproductive success. The foundation of this theory is that, within any single species, individuals differ in the exact composition of their genes. These differences arise because of spontaneous random mutations in the genes, and because, in sexually reproducing organisms, every organism will inherit a different combination of genes from their parents, and because, independently of sexuality, there are mechanisms for generating novel genes by rearrangement of existing genes, and mechanisms for changing the way a gene functions. These processes for generating inheritable novelty produce differences in the traits of the individual organisms which can mean that some individuals are more likely to survive and reproduce than others, so the particular genes that they carry are more likely to be propagated in the next generation. Over time, beneficial genes &mdash; those that confer advantages to the individuals that carry them &mdash; will accumulate in a population, and maladaptive genes will be eliminated. Accordingly, over many generations, the characteristics of a population will change &mdash; the population will evolve. Eventually, in some circumstances, such as when a population is geographically isolated and subject to different environmental challenges, this can give rise to a new species.


====[[Image:DNA icon (25x25).png]]DNA/characterizations====
It is not in the scope of this article to explain this theory fully or to defend it, but here we simply note a few features of this theory that are common to all theories. First, the theory explains a very large body of knowledge &mdash; the origin of the characteristics of all living things. Second, the theory involves presumptions: in this case, one presumption is that no intelligent creator directs the process of evolution. The theory cannot contradict the thesis that there is such an intelligent creator, it only declares that it is not necessary to invoke the existence of an intelligent creator to explain evolution. The theory does give an explanation for how living systems emerged from the non-living world. Third, the theory gives rise to hypotheses and to predictions. One hypothesis is that all life arises from common ancestors, and a prediction from this is that the genes of different species will show evidence for this, in that the genes that characterise different species will differ by a degree that is related to the time when the fossil record tells us that the species diverged. Fourth, the theory has undergone continual development and embellishment since it was first articulated by Charles Darwin, indeed the theory was proposed when virtually nothing was known of genes.
: [[DNA#The history of DNA research|The history of the discovery]] of the structure of [[DNA]] is a classic example of [[#Elements of scientific method|the elements of scientific method]]: in [[1950]] it was known that [[genetic inheritance]] had a mathematical description, starting with the studies of [[Gregor Mendel]], but the mechanism  was unclear. Researchers in [[William Lawrence Bragg|Bragg's]] laboratory at [[University of Cambridge|Cambridge University]] made [[X-ray]] [[diffraction]] pictures of various [[molecule]]s, starting with [[crystal]]s of [[salt]], and proceeding to more complicated substances. Using clues painstakingly assembled over the course of decades, beginning with its chemical composition, it was determined that it should be possible to characterize the physical structure of DNA, and the X-ray images would be the vehicle.


====Precession of Mercury====
The Theory of [[natural selection]] is generally regarded as one of the 'cornerstones' of modern biology, but in a strict sense it is difficult to see it as falsifiable. It is accepted less because of the weight of experimental evidence, or because of its success in withstanding attempted disproof, but because of aesthetic considerations. In its essence it is seductively simple, and the force of its logic makes it seem self evidently true to contemporary biologists; it has a sweeping power to explain many diverse things, and it has succeeded, despite its simplicity, in stimulating many important ideas about the mechanisms underlying genes, their functions and their mechanisms of inheritance.
[[Image:Perihelion_precession.jpg|thumb|right|[[Precession]] of the [[perihelion]] (very exaggerated)]]
The characterization element can require extended and extensive study. It took thousands of years of measurements, from the  [[Chaldea]]n, [[India]]n, [[Persian Empire|Persia]]n, [[Greece|Greek]], [[Arab]]ic and [[European]] astronomers, to record the motion of planet [[Earth]]. Newton condensed these measurements into consequences of his [[laws of motion]], but the [[perihelion]] of the planet [[Mercury (planet)|Mercury]]'s [[orbit]] exhibits a precession which is not fully explained by Newton's laws of motion. The observed difference for Mercury's precession, between Newtonian theory and relativistic theory (approximately 43 arc-seconds per century), was one of the things that occurred to Einstein as a possible early test of his theory of [[General Relativity]].


===Hypothesis development===
To say that the Theory is generally accepted is not to say that biologists are fully in agreement with each other; they are not, there is considerable debate and disagreement about many aspects of the Theory, especially about which of the many mechanisms of natural selection are most important. There are also alternatives, notably the Theory of [[Intelligent Design]]. This theory is based on the conclusion of its proponents that natural selection alone is incapable of explaining the evolution of highly complex organisms, and it postulates that some intelligence must have been involved in their design. The theory of Intelligent Design is accepted by very few biologists; most do not agree that the theory of natural selection cannot account for the complexity of living creatures, and so regard the concept of an intelligent designer as in breach of Ockham's razor.  
A [[hypothesis]] is a suggested explanation of a phenomenon, or a reasoned proposal suggesting a possible correlation between or among a set of phenomena. Hypotheses may have the form of a [[mathematical model]], or they can be formulated as [[existential quantification|existential statements]], stating that some particular instance of the phenomenon being studied has some characteristic and causal explanations, which have the general form of [[Universal quantification|universal statements]], stating that every instance of the phenomenon has a particular characteristic.  


Scientists are free to use whatever resources they have — their own creativity, ideas from other fields, [[induction (philosophy)|induction]], [[Bayesian inference]], and so on — to imagine possible explanations for a phenomenon under study. [[Charles Sanders Peirce]] described the incipient stages of [[inquiry]], instigated by the "irritation of doubt" to venture a plausible guess, as ''[[Inquiry#Abduction|abductive reasoning]]''. The history of science is filled with stories of scientists claiming a "flash of inspiration", or a hunch, which then motivated them to look for evidence to support or refute their idea. [[Michael Polanyi]] made such creativity the centrepiece of his discussion of methodology.
For Popper, no theory can ever be shown to be true - a theory may be corroborated by evidence, but can never be verified. He regarded the old scientific ideal of certain, demonstrable knowledge as illusory: that we can be certain about our faith, but scientific statements are forever in doubt. It is not possession of knowledge that makes the "man of science", but the "persistent and reckless ''quest'' for truth." In his words:
<blockquote>''Science does not rest upon solid bedrock. The bold structure of its theories rises, as it were, above a swamp. It is like a building erected on piles...if we stop driving the piles deeper, it is not because we have reached firm ground. We simply stop when we are satisfied that the piles are firm enough to carry the structure, at least for the time being.'' (Popper, K (1959) ''The Logic of Scientific Discovery'')</blockquote>


[[Karl Popper]] argued that a hypothesis must be [[falsifiable]], and that a proposition or theory cannot be called scientific if it does not admit the possibility of being shown false. It must at least in principle be possible to make an observation that would show the proposition to be false, even if that observation had not yet been made.
==The scientific method in practice==
While scientists disagree among themselves and between themselves about whether there is a general "scientific method" and if so exactly what it involves, in any given field there are always some practices that are accepted as scientific good practice and others that are not. When scientists give expert evidence in Courts of Law, their evidence is given particular weight, reflecting the respect that is given to good scientific practice. In 1993, in the [[Daubert v. Merrell Dow Pharmaceuticals]] decision, the U.S. Supreme Court accorded a special status to 'The Scientific Method', in ruling that "… to qualify as 'scientific knowledge' an inference or assertion must be derived by the scientific method. Proposed testimony must be supported by appropriate validation - i.e., 'good grounds', based on what is known." The Court also stated that "A new theory or explanation must generally survive a period of testing, review, and refinement before achieving scientific acceptance. This process does not merely reflect the scientific method, it is the scientific method."<ref> [http://straylight.law.cornell.edu/supct/html/92-102.ZS.html Text of the opinion, LII, Cornell University]; [http://www.defendingscience.org/upload/Daubert-The-Most-Influential-Supreme-Court-Decision-You-ve-Never-Heard-Of-2003.pdf Daubert-The Most Influential Supreme Court Decision You've Never Heard of]</ref>


[[William Glen]] observes that
The UK Research Charity ''Cancer Research UK'' gives an outline of the scientific method, as practised by their scientists<ref name=CR-UK>[http://info.cancerresearchuk.org/cancerandresearch/aboutcancerresearch/thescientificmethod/ Science fact or fiction?], from Cancer Research UK</ref>.
<blockquote>
the success of a hypothesis, or its service to science, lies not simply in its perceived "truth", or power to displace, subsume or reduce a predecessor idea, but perhaps more in its ability to stimulate the research that will illuminate … bald suppositions and areas of vagueness.<ref>Glen,William (ed.), The Mass-Extinction Debates: How Science Works in a Crisis, Stanford University Press, Stanford, CA, 1994. ISBN 0-8047-2285-4. pp. 37-38.</ref>
</blockquote>


In general, scientists tend to look for theories that are "[[elegant]]" or "[[beautiful]]". In contrast to the usual English use of these terms, they here refer to a theory in accordance with the known facts, which is nevertheless relatively simple and easy to handle. If a model is mathematically too complicated, it is hard to deduce any [[#Prediction from the hypothesis|prediction]].  Note that 'simplicity' may be perceived differently by different individuals and cultures.
===Hypotheses===
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====[[Image:DNA icon (25x25).png]]''DNA/hypotheses''====
|It is always safe and philosophic to distinguish, as much as is in our power, fact from theory; the experience of past ages is sufficient to show us the wisdom of such a course; and considering the constant tendency of the mind to rest on an assumption, and, when it answers every present purpose, to forget that it is an assumption, we ought to remember that it, in such cases, becomes a prejudice, and inevitably interferes, more or less, with a clear-sighted judgment. I cannot doubt but that he who, as a wise philosopher, has most power of penetrating the secrets of nature, and guessing by hypothesis at her mode of working, will also be most careful, for his own safe progress and that of others, to distinguish that knowledge which consists of assumption, by which I mean theory and hypothesis, from that which is the knowledge of facts and laws; never raising the former to the dignity or authority of the latter, nor confusing the latter more than is inevitable with the former.
: [[Linus Pauling]] proposed that DNA was a triple helix. [[Francis Crick]] and [[James Watson]] learned of Pauling's hypothesis, understood from existing data that Pauling was wrong and realized that Pauling would soon realize his mistake.  So the race was on to figure out the correct structure. Except that Pauling did not realize at the time that he was in a race!


===Predictions from the hypotheses===
:::&mdash;Michael Faraday<ref name=fara1844v2>Faraday M. (1844) ''Experimental Researches in Electricity''.  Volume 2. Richard and John Edward Taylor, printers and publishers to the University of London. | [http://books.google.com/books?id=2oSFAAAAIAAJ&printsec=frontcover#v=onepage&q&f=false Google Book full-text].
Any useful hypothesis will enable [[prediction]]s, by [[reasoning]] including [[deductive reasoning]]. It might predict the outcome of an experiment in a laboratory setting or the observation of a phenomenon in nature. The prediction can also be statistical and only talk about probabilities.  
*"It is always safe and philosophic to distinguish...", pp. 285-286.</ref>


====[[Image:DNA icon (25x25).png]]''DNA/predictions''====
|}
<blockquote> ''[Scientists] start by making an educated guess about what they think the answer might be, based on all the available evidence they have. This is known as forming an hypothesis.''<ref>This quote and the ones that follow are from the ''Cancer Research UK'' outline.</ref></blockquote>


: When [[James D. Watson|Watson]] and Crick hypothesized that DNA was a double helix, [[Francis Crick]] predicted that an X-ray diffraction image of DNA would show an X-shape. Also in their first paper they predicted that the [[double helix]] structure that they discovered would prove important in biology writing "It has not escaped our notice that the specific pairing we have postulated immediately suggests a possible copying mechanism for the genetic material".
A ''hypothesis'' is a proposed explanation of a phenomenon. It may be an “inspired guess”, a “bold speculation”, embedded in current understanding yet going beyond that to assert something that we do not know for sure as a way of explaining something not otherwise accounted for. Most importantly, a scientific hypothesis is something that has ''consequences'', it leads to predictions and these can be tested by experiments. If the predictions prove wrong, the hypothesis is discarded, otherwise it is put to further test. If it resists determined attempts to disprove it, then it might come to be accepted, at least for the moment, as 'true'.


====''General Relativity''====
Scientists use many different means to generate hypotheses, including their own creative imagination, ideas from other fields, and by [[induction (philosophy)|induction]][[Charles Sanders Peirce]] (1839-1914) described the incipient stages of [[inquiry]], instigated by the "irritation of doubt" to venture a plausible guess, as ''[[Inquiry#Abduction|abductive reasoning]]'' <ref>[http://plato.stanford.edu/entries/peirce/ Charles Sanders Peirce] entry at the Stanford Encyclopedia of Philosophy</ref>. The history of science is full of stories of scientists claiming a "flash of inspiration" which motivated them. One of the best known is from the chemist [[August Kekulé]] (1829-1896), who proposed that structure of molecules followed particular rules. Kekulé recounted that the structure of benzene came to him in a dream, in which rows of atoms wound like serpents before him; one of the serpents seized its own tail: "the form whirled mockingly before my eyes. I came awake like a flash of lightning. This time also I spent the remainder of the night working out the consequences of the hypothesis".<ref>cited in Bargar RR, Duncan JK (1982) Cultivating creative endeavor in doctoral research ''J Higher Educ 53:1-31 [http://dx.doi.org/doi:10.2307/1981536  doi]</ref>
[[Image:Gravitational lens-full.jpg|right|thumb|200px|[[gravitational lensing|Einstein's prediction (1907): Light bends in a gravitational field]]]]
Einstein's theory of [[General Relativity]] makes several specific predictions about the observable structure of [[space-time]], such as a prediction that [[light]] bends in a [[gravitational field]] and that the amount of bending depends in a precise way on the strength of that gravitational field. [[Arthur Eddington]]'s observations made during a [[1919]] [[solar eclipse]] supported General Relativity rather than Newtonian [[gravitation]].


===Experiments===
===Experiments and observations===
{{mainarticle|Experiments}}
<blockquote>''Researchers carry out carefully designed studies, often known as experiments, to test their hypothesis. They collect and record detailed information from the studies. They look carefully at the results to work out if their hypothesis is right or wrong…'' </blockquote>
Once predictions are made, they can be ''tested'' by experiments. If the outcome contradicts the predictions, then the hypotheses are called into question and explanations may be sought. Sometimes experiments are conducted incorrectly. If the results confirm the predictions, then the hypotheses are considered likely to be correct but might still be wrong and are subject to [[#Evaluations and iterations |further testing.]] Scientists assume an attitude of openness and accountability on the part of those conducting an experiment. Detailed record keeping is essential, to provide evidence of the effectiveness and integrity of the procedure and to also assist in reproducing the experimental results. This tradition can be seen in the work of [[Hipparchus (astronomer)|Hipparchus (190 BCE - 120 BCE)]], when determining a value for the precession of the Earth over 2100 years ago, and 1000 years before Al-Batani.
An ''experiment'' is a procedure carried out under controlled conditions to gain new information or better understanding. Not all science involves experimentation; for example the human genome project largely involves (highly technical) interpretation of gene sequences, but the data were obtained by experimental investigation. Equally, not all experiments are designed to test hypotheses; some extend our knowledge by making more detailed observations of known phenomena, or by exploring new or unexplained phenomena more fully.


====[[Image:DNA icon (25x25).png]]''DNA/experiments''====
Between 1907 and 1917, the theoretical physicist [[Albert Einstein]] (1879-1955) developed the [[General theory of relativity]], which, amongst other things, explains gravitation as a manifestation of curvature of space and time. Several predictions can be derived from Einstein's theory of [[General Relativity]], and one prediction was that light will appear to 'bend' in a gravitational field by an amount that depends on the strength of the field. [[Arthur Eddington]] (1882-1994) devised experiments to test this prediction; his observations, made during a solar eclipse in 1919, supported General Relativity and showed the restrictions in applicability of the accepted theory of gravitation, credited to [[Isaac Newton]] (1643-1727).
: Before proposing their model Watson and Crick had previously seen x-ray diffraction images by [[Rosalind Franklin]], [[Maurice Wilkins]], and [[Raymond Gosling]].  However, they later reported that Franklin initially rebuffed their suggestion that DNA might be a double helix. Franklin had immediately spotted flaws in the initial hypotheses about the structure of DNA by Watson and Crick. The [http://www.pbs.org/wgbh/nova/photo51/ X-shape] in X-ray images helped confirm the helical structure of DNA.


==Evaluation and iteration==
[[Werner Heisenberg]] (1901-1976) was one of the physicists responsible for developing the theory of [[quantum mechanics]] (which so far resisted logical unification with general relativity). In a quote that he attributed to Albert Einstein, he stressed how observations depend upon the theories that are held at the time they are made <ref>[[Werner Heisenberg|Heisenberg, Werner]] (1971) ''Physics and Beyond, Encounters and Conversations'', A.J. Pomerans (trans.), Harper and Row, New York, NY  pp.63–64</ref> "The phenomenon under observation produces certain events in our measuring apparatus. As a result, further processes take place in the apparatus, which eventually and by complicated paths produce sense impressions and help us to fix the effects in our consciousness. Along this whole path—from the phenomenon to its fixation in our consciousness—we must be able to tell how nature functions, must know the natural laws at least in practical terms, before we can claim to have observed anything at all. Only theory, that is, knowledge of natural laws, enables us to deduce the underlying phenomena from our sense impressions."
The scientific process is iterative. At any stage it is possible that some consideration will lead the scientist to repeat an earlier part of the process. Failure to develop an interesting hypothesis may lead a scientist to redefine the subject they are considering. Failure of a hypothesis to produce interesting and testable predictions may lead to reconsideration of the hypothesis or of the definition of the subject. Failure of the experiment to produce interesting results may lead the scientist to reconsidering the experimental method, the hypothesis or the definition of the subject.


Other scientists may start their own research and enter the process at any stage. They might adopt the characterization and formulate their own hypothesis, or they might adopt the hypothesis and deduce their own predictions. Often the experiment is not done by the person who made the prediction and the characterization is based on experiments done by someone else. Published results of experiments can also serve as a hypothesis predicting their own reproducibility.
For Karl Popper, theory was profoundly important in science; a theory encompasses the preconceptions by which the world is viewed, and defines what we choose to study, and how we study it and understand it. He recognised that theories are not discarded lightly, and a theory might be retained long after it has been shown to be inconsistent with known facts ([[anomalies]]). However, the recognition of anomalies drives scientists to adjust the theory, and if the anomalies continue to accumulate, will drive them to develop alternative theories. Popper proposed that a theory should be judged by the extent to which it inspires testable hypotheses. While theories always contain many elements that are not falsifiable, Popper argued that these should be as few as possible. However, scientists also seek theories that are "elegant"; a theory should yield clear, simple explanations of complex phenomena, that are intellectually satisfying in being logically coherent, rich in content, and involving no miracles or other supernatural devices.


====[[Image:DNA icon (25x25).png]]''DNA/iterations''====
===Peer review===
: After considerable fruitless experimentation, being discouraged by their superior from continuing, and numerous false starts, Watson and Crick were able to infer the essential structure of [[DNA]] by concrete [[model (abstract)|modelling]] [[DNA#Discovery of the structure of DNA|of the physical shapes]] of the [[nucleotide]]s which comprise it. They were guided by the bond lengths which had been deduced by [[Linus Pauling]] and the X-ray diffraction images of [[Rosalind Franklin]].
<blockquote> ''…Once they have completed their study, the researchers write up their results and conclusions. And they try to publish them as a paper in a scientific journal. Before the work can be published, it must be checked by a number of independent researchers who are experts in a relevant field. This process is called ‘peer review’, and involves scrutinising the research to see if there are any flaws that invalidate the results…'' </blockquote>
The main way of disseminating scientific information is through the peer-reviewed scientific literature. This is a vast array of academic journals that was once mainly restricted to the libraries of Universities and research institutes, but these are now mostly available on-line through the internet, and often they are freely available. There are many thousands of these journals, some of which are managed and owned by scientific societies, others by commercial publishers. The better scientific journals publish just a small proportion of the manuscripts submitted to them, and only after a process of peer review and revision. An article published in the peer-reviewed literature that describes the outcome of a series of experiments is known as a 'scientific paper'. Over their careers, many scientists may publish more than a hundred such papers, but even for the most successful scientists very few of their papers have a major, lasting influence. Some scientists have achieved wide acclaim despite publishing very few papers, because of the exceptional importance of those few. One measure of the influence of a paper is how often it is 'cited' &mdash; referenced in other scientific papers. As most scientific papers include references to about 30 other papers, an average paper will eventually accrue about 30 'citations'. [[Frederick Sanger]], twice winner of the [[Nobel Prize for Chemistry]] (1958 and 1980)<ref>[http://nobelprize.org/nobel_prizes/chemistry/laureates/1958/ 1958 Nobel Prize for Chemistry] and [http://nobelprize.org/nobel_prizes/chemistry/laureates/1980/ 1980 Nobel Prize for Chemistry])</ref> published about 70 papers in his whole career; 30 of these have been cited more than 100 times each, and four of them more than 1000 times each.


===Confirmation===
Manuscripts submitted for publication in scientific journals are normally sent by the editor to (usually one to three) other scientists for evaluation. These 'expert referees' advise the editor about the suitability of the paper for publication in the journal. They also report, usually anonymously, on its strengths and weaknesses, pointing out any errors or omissions that they noticed and offering suggestions for how the paper might be improved by revision or by further experiments. With this advice, the editor might reject the paper or decide that it might be acceptable if appropriately revised.
Science is a social enterprise, and scientific work tends to be accepted by the community when it has been confirmed. Crucially, experimental and theoretical results must be reproduced by others within the science community. Researchers have given their lives for this vision; [[Georg Wilhelm Richmann]] was killed by [[lightning]] ([[1753]]) when attempting to replicate the [[1752]] [[kite flying|kite]] [[experiment]] of [[Benjamin Franklin]].<ref>See, e.g., Physics Today, Vol. 59, #1, p42. [http://www.physicstoday.org/vol-59/iss-1/p42.html]</ref>
 
Peer review has been widely adopted by the scientific community, but has weaknesses. It is easier to publish data that are consistent with a generally accepted theory than data that contradict it. This helps to ensure the stability of the accepted theory, but also means that the appearance of the extent to which a current theory is supported by evidence might be misleading &mdash; boosted by a poorly scrutinised supportive work while insulated from criticism. The biologist Lynn Margulis encountered great difficulty in publishing her theory that the eukaryotic cell is a symbiotic union of primitive prokaryotic cells. In 1966, she wrote a theoretical paper entitled ''The Origin of Mitosing Cells''; it was "rejected by about fifteen scientific journals," as Margulis recalled. Finally accepted by ''The Journal of Theoretical Biology'', it is now considered a landmark in modern [[endosymbiotic theory]].<ref>Sagan L (1967) On the origin of mitosing cells" ''J. Theor Biol'' '''14''':255-74 [http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=11541392&dopt=Citation Abstract]</ref> In 1995, [[Richard Dawkins]] said, "I greatly admire Lynn Margulis's sheer courage and stamina in sticking by the endosymbiosis theory, and carrying it through from being an unorthodoxy to an orthodoxy." <ref>John Brockman, [http://www.edge.org/documents/ThirdCulture/n-Ch.7.html ''The Third Culture''], New York: Touchstone 1995, 144</ref>


==Models of scientific inquiry==
To the defense of the possible  conservatism of reviewers, it must be remarked that they must trust at face value the experimental data that are in the manuscript before them. They cannot repeat the experiments and verify their outcome&mdash;they lack the time and often the possibility. All a reviewer can do is  decide whether experimental data  look "reasonable", which implies a judgment about the plausibility of the data  in the light of the ruling paradigm.  There are some famous cases of fraud that took years before unveiling, mainly because the fraud took care that his/her faked results looked "reasonable". Conversely, experimental data and theories that look "unreasonable" (in contradiction with the dominant paradigm) may need a long time (and affirmation by different laboratories) before they are deemed publishable. Notorious is the affair around the publication of  Benveniste's  "unreasonable"  experimental data on the [[memory of water]] in [[Nature]].
{{main|Models of scientific inquiry}}


The classical model of scientific inquiry derives from [[Aristotle]], who distinguished the forms of approximate and exact reasoning, set out the threefold scheme of [[abductive reasoning|abductive]], [[deductive reasoning|deductive]], and [[inductive reasoning|inductive]] inference, and also treated the compound forms such as reasoning by [[analogy]].
===The scientific literature===
<blockquote> ''…If the study is found to be good enough, the findings are published and acknowledged by the wider scientific community…'' </blockquote>


{{main|Pragmatic theory of truth}}
The way in which scientific research is presented in published form is governed by sometimes quite rigid conventions. Although they differ slightly from one field to another, a scientific paper generally has an 'Introduction', which gives a brief background to the question that is being addressed, a 'Methods' section, which details the experimental procedures in enough detail to allow them to be replicated independently, a 'Results' section which objectively details the findings, and a 'Discussion' section in which the authors interpret the findings and relate them to other work.  
[[Charles Peirce]] considered scientific inquiry to be a species of the genus ''inquiry'', which he defined as any means of fixing belief, that is, any means of arriving at a settled opinion on a matter in question.  He observed that inquiry in general begins with a state of uncertainty and moves toward a state of certainty, sufficient at least to terminate the inquiry for the time being.  He graded the prevalent forms of inquiry according to their evident success in achieving their common objective, scoring scientific inquiry at the high end of this scale.  At the low end he placed what he called the ''method of tenacity'', a die-hard attempt to deny uncertainty and fixate on a favored belief.  Next in line he placed the ''method of authority'', a determined attempt to conform to a chosen source of ready-made beliefs.  After that he placed what might be called the ''method of congruity'', also called the ''a priori'', the ''dilettante'', or the ''what is agreeable to reason'' method.  Peirce observed the fact of human nature that almost everybody uses almost all of these methods at one time or another, and that even scientists, being human, use the method of authority far more than they like to admit.  But what recommends the specifically scientific method of inquiry above all others is the fact that it is deliberately designed to arrive at the ultimately most secure beliefs, upon which the most successful actions can be based.


===Computational approaches===
[[Peter Medawar]] (1915-1987), Nobel laureate in Physiology and Medicine, in his article “Is the scientific paper a fraud?” <ref>Medawar, P. B. [http://maagar.openu.ac.il/opus/static/binaries/editor/bank66/medawar_paper_fraud_1.pdf  “Is the scientific paper a fraud?”], BBC Third Programme, Listener 70, 12 September 1963. </ref> argued that the scientific paper in its orthodox form embodies "a totally mistaken conception, even a travesty, of the nature of scientific thought." Because the results of an experiment are interpreted only at the end (in the discussion section) of scientific papers, this gives the impression that those conclusions are drawn by induction or deduction from the reported evidence. However, explains Medawar, it is the ''expectations'' that a scientist begins with that provide the incentive for the experiments, determine their nature, and determine which observations are relevant and which are not. Only in the light of these initial expectations do the activities described in a paper have any meaning at all. The expectation, the original hypothesis, according to Medawar, is not the product of inductive reasoning but of inspiration &mdash; educated guesswork.
Many subspecialties of [[applied logic]] and [[computer science]], including [[artificial intelligence]], [[computational learning theory]], [[inferential statistics]], and [[knowledge representation]], are concerned with setting out computational, logical, and statistical frameworks for the various types of inference involved in scientific inquiry, in particular, [[abductive reasoning|hypothesis formation]], [[deductive reasoning|logical deduction]], and [[inductive reasoning|empirical testing]]. Some of these draw on [[measure (mathematics)|measures]] of [[complexity]] from [[algorithmic information theory]] to guide the making of predictions from prior [[probability distribution|distributions]] of experience, for example, see the complexity measure called the ''[[speed prior]]'' from which a computable strategy for optimal inductive reasoning can be derived.


==Philosophical issues==
===Confirmation===
{{main|Philosophy of science}}
<blockquote> ''…But, it isn’t enough to prove a hypothesis once. Other researchers must also be able to repeat the study and produce the same results, if the hypothesis is to remain valid…'' </blockquote>
Sometimes scientists make errors in the design, execution or analysis of their experiments, so it is common for other scientists to try to repeat experiments, especially when the results were surprising. <ref>Georg Wilhelm Richmann was killed by lightning in 1753 when attempting to replicate the kite experiment of Benjamin Franklin. Krider P (2006) Benjamin Franklin and lightning rods ''Physics Today'' 59:42, [http://ptonline.aip.org/journals/doc/PHTOAD-ft/vol_59/iss_1/42_1.shtml available online]</ref>  Accordingly, scientists keep detailed records of their experiments, to provide evidence of their effectiveness and integrity and assist in reproduction. Generally, in publishing their work, it is considered essential that scientists describe their methods in enough detail to allow them to be repeated by others. However, a scientist cannot record ''everything'' about an experiment; he (or she) reports what he believes to be relevant. This can cause problems if some supposedly irrelevant feature is questioned. For example, Sidney Ringer's experiments with isolated frog hearts first led him to declare that the heart could continue to beat if kept in a simple saline solution. However, he later discovered that the solution had been made up not with distilled water but with London tap water, which contained a significant amount of calcium carbonate. He retracted his first reports, and is now known as the scientist who showed that calcium is important for the contractions of the heart. <ref>Carafoli E (2002) Calcium signalling: a tale for all seasons ''PNAS USA'' [http://www.pnas.org/cgi/content/abstract/99/3/1115 99:115-22]</ref>


Scientific researchers generally express a high level of confidence in scientific method.  What justifies their level of confidence that scientific method, under some conception, model, or recipe, is truly a good way to achieve the knowledge that it promises?  That is a question about the ''grounds of validity'' of scientific method, also referred to as the problem of ''justification'' or ''warrant''. While the philosophy of science has limited direct impact on day-to-day scientific practice, it plays a vital role in justifying and defending the scientific approach. There is disagreement over whether there is a single 'scientific method' or many of them.
===Statistics===
<blockquote>''…If the initial study was carried out using a small number of samples or people, larger studies are also needed. This is to make sure the hypothesis remains valid for bigger group and isn't due to chance variation…'' </blockquote>


Philosophers of science are interested in to what extent the actual practice of scientists conforms to the ''[[method|espoused methods]]'' or the ''[[norm|ostensible norms]]'', to which most of them apparently assent; some question whether scientific knowledge is actually produced by a defined, describable, or determinate [[methodology]] (see, for instance, the writings of [[Paul Feyerabend|Feyerabend]] and [[Thomas Samuel Kuhn|Kuhn]]).
Scientists analyse their data using the theory and methods of [[Statistics]], which arose from [[probability theory]]. Statistical analysis essentially involves methods for drawing conclusions from data that involve multiple sources of error.  


We find ourselves in a world that is not directly understandable. We sometimes disagree about the [[fact]]s of the things we see in the world around us, and some things in the world are at odds with our understanding. The scientific method attempts to provide a way in which we can reach agreement and understanding. A "perfect" scientific method might work in such a way that [[rationality|rational]] application of the method would always result in agreement and understanding; a perfect method would arguably be [[algorithm|algorithmic]], and not leave any room for rational agents to disagree. As with all [[Philosophy|philosophical]] topics, the search has been neither straightforward nor simple. [[Logical positivism|Logical Positivist]], [[empiricism|empiricist]], [[falsifiability|falsificationist]], and other theories have claimed to give a definitive account of the logic of science, but each has been criticised.
Statistical analysis is a part of hypothesis testing in many areas of science. This formalises the criteria for disproof by allowing statements of the form:
"If our hypothesis is true, the chance of getting the results that we observed is (say) only 1 in 20 or less (P < 0.05); therefore the hypothesis is probably wrong, and so we reject it.''
For instance, we might predict that a given chemical will produce a certain effect. However what we often test is not this, but the ''[[null hypothesis]]'' - that the chemical will have '''no''' effect. The reason is that, if our original hypothesis is vague about how big an effect to expect, then we cannot disprove it, as we can't exclude the possibility that the effect is too small to measure. However, we ''can'' disprove the null hypothesis (by showing an effect). Ideally, we choose hypotheses that give precise predictions, but this is often unrealistic. In medicine for example, we might expect a new drug to be effective in a particular condition from our understanding of its mechanism of action. Even so, we might not know how big an effect to expect because of many uncertainties - how many people will be resistant to the drug? for example, and how quickly will tolerance to the drug develop in people who respond well?


[[Werner Heisenberg]] in a quote that he attributed to [[Albert Einstein]] many years later, stated [Heisenberg 1971]:
This is not hypothesis testing in Popper's sense, because the hypothesis is not put at any hazard of disproof. Verification of this type is something that Popper considered to be, at best, weak corroborative evidence, partly because it is impossible to measure the support that such evidence provides. <ref>In appendix ix to ''The Logic'', Popper states: "As to degree of corroboration, it is nothing but a measure of the degree to which hypothesis ''h'' has been tested...it must not be interpreted therefore as a degree of the rationality of our belief in the truth of ''h''...rather it is a measure of the rationality of accepting, tentatively, a problematic guess."</ref>
: It is quite wrong to try founding a theory on observable magnitudes alone. In reality the very opposite happens. It is the theory which decides what we can observe. You must appreciate that observation is a very complicated process. The phenomenon under observation produces certain events in our measuring apparatus. As a result, further processes take place in the apparatus, which eventually and by complicated paths produce sense impressions and help us to fix the effects in our consciousness.  Along this whole path—from the phenomenon to its fixation in our consciousness—we must be able to tell how nature functions, must know the natural laws at least in practical terms, before we can claim to have observed anything at all. Only theory, that is, knowledge of natural laws, enables us to deduce the underlying phenomena from our sense impressions. When we claim that we can observe something new, we ought really to be saying that, although we are about to formulate new natural laws that do not agree with the old ones, we nevertheless assume that the existing laws—covering the whole path from the phenomenon to our consciousness—function in such a way that we can rely upon them and hence speak of “observation”.


Considerations such as these led [[Feyerabend]] to deny that science is genuinely a methodological process. In his book ''[[Against Method]]'' he argues that scientific progress is ''not'' the result of applying any particular method. In essence, he says that "anything goes", by which he meant that for any specific methodology or norm of science, successful science has been done in violation of it. Criticisms such as his led to a rise in the study of the scientific enterprise as a social phenomenon. To the degree that sociological studies focus on cooperation and appreciation as well as conflict both within the scientific communities and beyond, however, the [[Science studies|sociology of science]] is also quite capable of accounting for sociological components of the ''success'' of the [[scientific enterprise]] which for much of the 20th century had fairly widely been taken as granted.  The [[strong programme]] has put forward a perspective of just this kind.
In the 18th century, an English clergyman, [[Thomas Bayes]] (1702-1761) proved a result, now known as [[Bayes Theorem]], that, in some interpretations, provides a formal method for revising beliefs in the light of new evidence <ref>Bellhouse DR (2004) [http://www.york.ac.uk/depts/maths/histstat/bayesbiog.pdf The reverend Thomas Bayes FRS: a biography to celebrate the tercentenary of his birth] Statistical Science 19:3-43</ref>. It has been argued that [[Bayesian statistics]] can be used to provide a basis for support by induction, and some areas of science use these approaches. Bayesian statistics measures how the probability that a hypothesis is true changes as a result of observations, but it depends on assigning initial values to the probabilities of alternative outcomes of an experiment. This is not always possible because of the difficulty of assigning these ''a priori'' probabilities in any meaningful way.


===Problem of demarcation===
===Progress and controversy in science===
The problem of evaluating a system of thought with regard to its status as science is often called the [[demarcation problem]]. The criteria for a system of assumptions, methods, and theories to qualify as science vary in their details from application to application, but they typically include (1) the formulation of hypotheses that meet the logical criterion of [[contingency]], defeasibility, or [[falsifiability]] and the closely related [[empirical]] and [[practical]] criterion of [[testability]], (2) a grounding in empirical evidence, and (3) the use of scientific method. The procedures of science typically include a number of [[heuristic]] guidelines, such as the principles of conceptual economy or theoretical [[parsimony]] that fall under the rubric of [[Ockham's razor]]. The following is a list of additional features that are highly desirable in a scientific theory.
<blockquote> ''...Over time, scientific opinion can change. This is because new technologies can allow us to re-examine old questions in greater detail.'' </blockquote>
:* Consistent.  Generates no obvious logical contradictions, and [[scientific formalism|'saves the phenomena']], being consistent with observation.
Although skepticism, or doubt, has long been recognised as an important element in all science, Kuhn argued that scientific opinion does not change easily in fundamental things. In particular, one theory or world view is replaced by another not because many scientists  are 'converted' to the new world view. Instead, a new theory begins as an unfashionable alternative that is often derided, but gains adherents as its advantages become apparent to new scientists entering the field, while the adherents of the old view fight a 'rear-guard action' to defend it. [[Barbara McClintock]]'s work on regulatory elements that control gene expression won her the Nobel Prize in Physiology or Medicine in 1983, but in 1953 she decided to stop trying to publish detailed accounts of her work, because of the puzzlement and hostility of her peers. In 1973 she wrote:
:* Parsimonious.  Economical in the number of assumptions and hypothetical entities.
:"Over the years I have found that it is difficult if not impossible to bring to consciousness of another person the nature of his tacit assumptions when, by some special experiences, I have been made aware of them. ...One must await the right time for conceptual change"<ref>McClintock B (1987) The discovery and characterization of transposable elements: the collected papers of Barbara McClintock, ed John A. Moore. Garland Publishing, Inc. ISBN 0-8240-1391-3. (Introduction)</ref>
:* Pertinent. Describes and explains observed phenomena.
:* [[Falsifiability|Falsifiable]] and [[Testability|testable]].
:* Reproducible.
:* Correctable and dynamic. 
:* Integrative, robust, and corrigible. Subsumes previous theories as approximations, and allows possible subsumption by future theories. See [[Correspondence principle]]
:* Provisional or tentative.  Does not assert the absolute certainty of the theory.


==Communication, community, culture==
Kuhn focused attention on the unexplainable phenomena as the key to scientific revolutions, which he called "paradigm shifts". One example reported in ''The Structure of Scientific Revolutions'' dates back to the mathematical astronomer Claudius [[Ptolemy]], who lived in Egypt in the 2nd century CE. The improvements in astronomical observation, and the accumulation of more data during that time required more and more elaborate explanations to reconcile the observational data with the accepted belief that the earth was the centre of the solar system, and indeed of the universe. By the time of [[Copernicus]] (1473-1543), so much evidence had accumulated suggesting that the sun was in fact the center of the solar system, the whole infrastructure of theories broke down, leading the way to acceptance of a new heliocentric world picture. Yet, it took more than a century before all astronomers were convinced. When [[Einstein]] showed in 1905  that there is no [[ether (physics)|ether]], or at least that the concept is superfluous and may be removed from physics by Ockham's razor, many of the older generation of physicists did not accept this paradigm shift and died believing in ether; they were not converted, the ether concept died out.
Often the scientific method is not employed by a single person, but by several cooperating directly or indirectly. Such cooperation can be regarded as one of the defining elements of a [[scientific community]]. Various techniques have been developed to ensure the integrity of the scientific method within such an environment.  


===Peer review evaluation===
New observations about natural phenomena continue to lead to such revolutions in biology, plate tectonics, particle physics, and many other branches of science.
Scientific journals use a process of ''[[peer review]]'', in which manuscripts are submitted by editors of scientific journals to (usually one to three) fellow (usually anonymous) scientists familiar with the field for evaluation. The referees may or may not recommend publication, publication with suggested modifications, or, sometimes, publication in another journal. This helps to keep the scientific literature free of unscientific work, reduces obvious errors, and generally otherwise improve the quality of the scientific literature. The peer review process has been criticised, but has been very widely adopted by the scientific community.


===Documentation and replication===
==Alternative views==
Sometimes experimenters may make systematic errors during their experiments, or (in rare cases) deliberately falsify their results. Consequently, it is a common practice for other scientists to attempt to repeat the experiments in order to duplicate the results, thus further validating the hypothesis. As a result, experimenters are expected to maintain detailed records of their experiments, to provide evidence of the effectiveness and integrity of the procedure and assist in reproduction. These procedural records may also assist in the conception of new experiments to test the hypothesis, and may prove useful to engineers who might examine the potential practical applications of a discovery. Note that it is not possible for a scientist to record ''everything'' that took place in an experiment. He must select the facts he believes to be relevant to the experiment and report them. This may lead  to problems if some supposedly irrelevant feature is questioned. For example, [[Heinrich Hertz]] did not report the size of the room used to test Maxwell's equations, which later turned out to account for a small deviation in the results. The problem is that parts of the theory itself need to be assumed in order to select and report the experimental conditions. Observations are sometimes hence described as being 'theory-laden'.
<blockquote>''"The progress of science is often affected more by the frailties of humans and their institutions than by the limitations of scientific measuring devices. The scientific method is only as effective as the humans using it. It does not automatically lead to progress."'' Steven S. Zumdahl</blockquote>
The success of science, as measured by the technological achievements that have changed our world, have led many to conclude that this success is because of the methodological rules that scientists follow. However, not all philosophers accept this conclusion; for example, [[Paul Feyerabend]] (1924-1994) denied that science is genuinely a methodological process. In his book ''Against Method'' he argued that scientific progress is ''not'' the result of applying any particular rules.<ref> Feyerabend PK (1975) [http://www.marxists.org/reference/subject/philosophy/works/ge/feyerabe.htm ''Against Method, Outline of an Anarchistic Theory of Knowledge''] Reprinted, Verso, London, UK, 1978; for a critical review, see  [http://www.springerlink.com/content/p704x52113gg17j7/fulltext.pdf "Against too much method"] by John Worrall</ref> Instead, he concluded almost that 'anything goes', in that for any particular 'rule' there are abundant examples of successful science that have proceeded in a way that seems to contradict it.<ref>[http://www.galilean-library.org/feyerabend.html Feyerabend's 'anything goes' argument explained] at the Galilean Library. Criticisms such as his led to the [[strong programme]], a radical approach to the sociology of science.
</ref> To Feyeraband, there is no real difference between science and other areas of human activity characterised by reasoned thought. A similar sentiment was expressed by [[T.H. Huxley]] in  1863: "The method of scientific investigation is nothing but the expression of the necessary mode or working of the human mind. It is simply the mode at which all phenomena are reasoned about, rendered precise and exact."<ref>Huxley TH (1863) [http://www.fordham.edu/halsall/mod/1863huxley.html From a 1863 lecture series aimed at making science understandable to non-specialists]</ref>


===Dimensions of practice===
Some scientists focus their activity on making precise and detailed observations of a phenomenon, gathering data, organizing it in sensible ways, making it accessible to other scientists. We do not disqualify those scientists as ‘scientists’ on the grounds they do not employ a scientific method. Other scientists might use their observational data to generate testable hypotheses, and other scientists might test those hypotheses by experiment, and others try to reproduce the findings. That illustrates an instance of the scientific method in action realized by the combined effort of two or more scientists working with different methods, not necessarily in one generation. Regardless of the hopefully rational approach that each scientist employs in her 'scientific method', none can leave their biases and passions outside their mind. Sometimes biases and passions contribute the advancement of science. The scientific method is the endeavor of humans, prone to error for many reasons, prone to creative insights by nature. But scientists agree on the need for verifiable knowledge, and they cannot suppress the emergence of new perspectives and paradigms.  
The primary constraints on contemporary western science are:
* Publication, i.e. [[Peer review]]
* Resources (mostly funding)


Both of these constraints indirectly bring in a scientific method &mdash; work that too obviously violates the constraints will be difficult to publish and difficult to get funded. Journals do not require submitted papers to conform to anything more specific than "good scientific practice" and this is mostly enforced by peer review. Originality, importance and interest are more important - see for example the [http://www.nature.com/nature/submit/get_published/index.html author guidelines] for ''[[Nature (journal)|Nature]]''.
In his 1958 book, ''Personal Knowledge,'' the chemist and philosopher [[Michael Polanyi]] (1891-1976) criticized the view that the scientific method is purely objective and generates objective knowledge. Polanyi thought that this was a misunderstanding of the scientific method, and argued that scientists do and must follow their passions in appraising facts and in choosing which questions to investigate. He concluded that a structure of liberty is essential for the advancement of science &mdash; that the freedom to pursue science for its own sake is a prerequisite for the production of knowledge.<ref> [http://plato.stanford.edu/entries/relativism/ Relativism] entry at the Stanford Encyclopedia of Philosophy</ref>


Criticisms (see [[Critical theory]]) of these restraints are that they are so nebulous in definition (e.g. "good scientific practice") and open to ideological, or even political, manipulation apart from a rigorous practice of a scientific method, that they often serve to censor rather than promote scientific discovery. Apparent censorship through refusal to publish ideas unpopular with mainstream scientists (unpopular because of ideological reasons and/or because they seem to contradict long held scientific theories) has soured the popular perception of scientists as being neutral or seekers of truth and often denigrated popular perception of science as a whole.
==The changing nature of science==
Charles Darwin was an amateur scientist, a man of independent means and broad ranging interests who worked to satisfy his own curiosity. Still in the early 20th century, science was the province of individuals with wide interests. Albert Einstein was working as clerk in a patent office in Bern in 1905, the year that he published four papers in ''Annalen der Physik'' that are now each recognised as hugely important; the four papers discuss the particulate nature of light; Brownian motion; the theory of special relativity; and the equivalence of matter and energy.
In the 20th century, science became largely professionalised, conducted increasingly by specialised experts employed in Universities or research institutes, and increasingly governed by the priorities of funding bodies, which in turn have become increasingly influenced by the political priorities of the Governments that are the source of the funding for research.  


==History==
The 'lone scientist' is now a rare animal; most science is now a collaborative enterprise, often conducted in large teams where each member of the team supplies a specific area of specialised expertise. Most of Frederick Sanger's scientific papers, published between 1945 and 1980, were either authored by him alone or with just one other co-author. This is now unusual in the Life Sciences, where most papers have several authors and many have ten or more. In experimental high-energy physics, papers with more than 100 authors from 40 or more institutions are the rule.<ref>For example, see a randomly picked article in the May 2009 issue of the European Physical Journal C [http://dx.doi.org/10.1140/epjc/s10052-009-0995-1 DOI]</ref>
{{main|History of scientific method}}
:''See also [[Timeline of the history of scientific method]]''
The development of the scientific method is inseparable from the history of science itself. [[Ancient Egypt]]ian documents, such as early [[papyri]], describe methods of medical diagnosis. In [[Ancient Greece|ancient Greek]] culture, the first elements of the inductive scientific method clearly become well established. Significant progress in methodology was made in [[early Muslim philosophy]], in particular using experiments to distinguish between competing scientific theories set within a generally empirical orientation. The fundamental tenets of the basic scientific method crystallized no later than the rise of the modern [[physical science]]s, in the [[17th century|17th]] and [[18th century|18th]] centuries. In his work ''[[Novum Organum]]'' ([[1620]]) — a reference to [[Aristotle]]'s ''[[Organon]]'' — [[Francis Bacon]] outlined a new system of [[logic]] to improve upon the old [[philosophy|philosophical]] process of [[syllogism]]. Then, in [[1637]], [[René Descartes]] established the framework for a scientific method's guiding principles in his treatise, ''[[Discourse on Method]]''. These writings are considered critical in the historical development of the scientific method.


In the late 19th century, [[Charles Sanders Peirce]] proposed a schema that would turn out to have considerable influence in the development of current scientific method generally.  Speaking in broader context in "How to Make Our Ideas Clear" (1878) [http://members.door.net/arisbe/menu/library/bycsp/ideas/id-frame.htm], Peirce outlined an objectively verifiable method to test the truth of putative knowledge on a way that goes beyond mere foundational alternatives, focusing upon both ''deduction'' and ''induction''.  He thus placed induction and deduction in a complementary rather than competitive context (the latter of which had been the primary trend at least since [[David Hume]], who wrote in the mid-to-late 18th century). Secondly, Peirce put forth the basic schema for hypotheis/testing that continues to prevail today. Extracting the theory of inquiry from its raw materials in classical logic, he refined it in parallel with the early development of symbolic logic to address the then-current problems in scientific reasoning. Peirce examined and articulated the three fundamental modes of reasoning that, as discussed above, play a role in inquiry today, the processes currently known as [[abductive reasoning|abductive]], [[deductive reasoning|deductive]], and [[inductive reasoning|inductive]] inference.  
Increasingly, scientists work towards specified ambitious goals; a prime example is the [[Human Genome Project]], a research program involving hundreds of laboratories across many countries directed at sequencing the entire human genome. This 13-year project, coordinated by the U.S. Department of Energy and the National Institutes of Health, was completed in 2003.


[[Karl Popper]] (1902-1994), beginning in the 1930s argued that a hypothesis must be [[falsifiable]] and, following Peirce and others, that science would best progress using deductive reasoning as its primary emphasis, known as [[critical rationalism]].  His astute formulations of logical procedure helped to rein in exessive use of inductive speculation upon inductive speculation, and also strengthened the conceptual foundation for today's peer review procedures.
Thus the 20th century saw a transition from ''curiosity-driven research'' to ''hypothesis-driven research'' and then to ''goal-directed research''. These changes were accompanied by major changes in the sociology of the scientific community. Research scientists today mostly have a very narrowly specialised technical expertise, are professionally employed, funded directly or indirectly by Governments, research charities or industry, and generally work within a team that may be part of a multinational network of teams working to a common goal.


==Notes and references==
==Notes and references==
<references/>
{{reflist|2}}[[Category:Suggestion Bot Tag]]
 
* [[Aristotle]], "[[Prior Analytics]]", [[Hugh Tredennick]] (trans.), pp. 181-531 in ''Aristotle, Volume&nbsp;1'', [[Loeb Classical Library]], William Heinemann, London, UK, 1938.
* [[Charles Sanders Peirce|Peirce CS]], ''Essays in the Philosophy of Science'', Vincent Tomas (ed.), Bobbs–Merrill, New York, NY, 1957.
* [[Charles Sanders Peirce|Peirce CS]], "Lectures on Pragmatism", Cambridge, MA, March 26 – May 17, 1903.  Reprinted in part, ''Collected Papers'', CP 5.14–212.  Reprinted with Introduction and Commentary, Patricia Ann Turisi (ed.), ''Pragmatism as a Principle and a Method of Right Thinking:  The 1903 Harvard "Lectures on Pragmatism"'', State University of New York Press, Albany, NY, 1997.  Reprinted, pp. 133–241, Peirce Edition Project (eds.), ''The Essential Peirce, Selected Philosophical Writings, Volume 2 (1893–1913)'', Indiana University Press, Bloomington, IN, 1998.
* [[Charles Peirce|Peirce, C.S.]], ''Collected Papers of Charles Sanders Peirce'', vols. 1-6, [[Charles Hartshorne]] and [[Paul Weiss (philosopher)|Paul Weiss]] (eds.), vols. 7-8, [[Arthur W. Burks]] (ed.), Harvard University Press, Cambridge, MA, 1931-1935, 1958.  Cited as CP vol.para.
 
==Further reading==
* [[Francis Bacon (philosopher)|Bacon, Francis]] ''Novum Organum (The New Organon)'', 1620.  Bacon's work described many of the accepted principles, underscoring the importance of [[Theory]], empirical results, data gathering, experiment, and independent corroboration.
* [[Henry H. Bauer|Bauer, Henry H.]], ''Scientific Literacy and the Myth of the Scientific Method'', University of Illinois Press, Champaign, IL, 1992
* [[William I. B. Beveridge|Beveridge, William I. B.]], ''The Art of Scientific Investigation'', Vintage/Alfred A. Knopf, 1957.
* [[Richard J. Bernstein|Bernstein, Richard J.]], ''Beyond Objectivism and Relativism: Science, Hermeneutics, and Praxis'', University of Pennsylvania Press, Philadelphia, PA, 1983.
* [[John Dewey|Dewey, John]], ''How We Think'', D.C. Heath, Lexington, MA, 1910.  Reprinted, [[Prometheus Books]], Buffalo, NY, 1991.
* [[Paul Feyerabend|Feyerabend, Paul K.]], ''Against Method, Outline of an Anarchistic Theory of Knowledge'', 1st published, 1975.  Reprinted, Verso, London, UK, 1978.
* [[Werner Heisenberg|Heisenberg, Werner]], ''Physics and Beyond, Encounters and Conversations'', A.J. Pomerans (trans.), Harper and Row, New York, NY 1971, pp. 63–64.
* [[Thomas Kuhn|Kuhn, Thomas S.]], "The Function of Measurement in Modern Physical Science", ''ISIS'' 52(2),  161–193, 1961.
* Kuhn, Thomas S., ''The Structure of Scientific Revolutions'', University of Chicago Press, Chicago, IL, 1962.  2nd edition 1970.  3rd edition 1996.
* Kuhn, Thomas S., ''The Essential Tension, Selected Studies in Scientific Tradition and Change'', University of Chicago Press, Chicago, IL, 1977.
* [[Bruno Latour|Latour, Bruno]], ''Science in Action, How to Follow Scientists and Engineers through Society'', Harvard University Press, Cambridge, MA, 1987.
* [[William McComas|McComas, William F.]], ed. [http://www.usc.edu/dept/education/science-edu/Myths%20of%20Science.pdf The Principle Elements of the Nature of Science: Dispelling the Myths], from ''The Nature of Science in Science Education'', pp53-70, Kluwer Academic Publishers, Netherlands 1998.
* [[Henri Poincaré|Poincaré, Henri]], ''Science and Hypothesis'', 1905, [http://spartan.ac.brocku.ca/~lward/Poincare/Poincare_1905_toc.html Eprint]
* [[Karl Popper|Popper, Karl R.]], ''Unended Quest, An Intellectual Autobiography'', Open Court, La Salle, IL, 1982.
* [[Paul Thagard|Thagard, Paul]], ''Conceptual Revolutions'', Princeton University Press, Princeton, NJ, 1992.
 
==External links==
===Science treatments===
* [http://www.freeinquiry.com/intro-to-sci.html An Introduction to Science: Scientific Thinking and a scientific method] by Steven D. Schafersman.
* [http://teacher.nsrl.rochester.edu/phy_labs/AppendixE/AppendixE.html Introduction to a scientific method]
* [http://www.galilean-library.org/theory.html Theory-ladenness] by Paul Newall at The Galilean Library
* [http://pasadena.wr.usgs.gov/office/ganderson/es10/lectures/lecture01/lecture01.html Scientific Method]
* [http://www.swemorph.com/pdf/anaeng-r.pdf Analysis and Synthesis: On Scientific Method based on a study by Bernhard Riemann] From the [http://www.swemorph.com  Swedish Morphological Society]
* [http://www.sciencemadesimple.com/scientific_method.html Using the scientific method for designing science fair projects] from [http://www.sciencemadesimple.com Science Made Simple]
 
===Alternative scientific treatments===
* [http://dharma-haven.org/science/myth-of-scientific-method.htm The Myth of a scientific method] by Dr. Terry Halwes (A respectful essay making the point that scientists actually use a variety of methods that cannot be easily reduced to a single coherent methodology.)
* [http://www.stickyminds.com/sitewide.asp?ObjectId=8965&Function=DETAILBROWSE&ObjectType=ART The Test Case As A Scientific Experiment] (An article that compares the scientific method and [[software testing]])
* [http://www.aeriagloris.com/HowToLearn/TheScientificPrinciple.htm The Scientific Principle] - a simplistic overview
 
===Humor===
* [http://www.audienceoftwo.com/mag.php?art_id=526 Updated Scientific Method]

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Statue of David Hume. "Man is a reasonable being; and as such, receives from science his proper food and nourishment: But so narrow are the bounds of human understanding, that little satisfaction can be hoped for in this particular..." Hume recognised clearly the difficulties in gaining a general understanding merely by accumulating observations.

Scientists use a scientific method to investigate phenomena and acquire knowledge. They base the method on verifiable observation — i.e., on replicable empirical evidence rather than on pure logic or supposition — and on the principles of reasoning.[1] [2] Scientists propose explanations — called hypotheses — for their observed phenomena, and perform experiments to determine whether the results accord with (support) the hypotheses or falsify them. They also formulate theories that encompass whole domains of inquiry, and which bind supported hypotheses together into logically coherent wholes. They refer to theories sometimes as ‘models’, which often have a mathematical or computational basis.[3] [4]


Components of the scientific method

Science is said to proceed on two legs, one of theory (or, loosely, of deduction) and the other of observation and experiment (or induction). Its progress, however, is less often a commanding stride than a kind of halting stagger — more like the path of the wandering minstrel than the straight-ruled trajectory of a military marching band. The development of science is influenced by intellectual fashions, is frequently dependent upon the growth of technology, and in any case, seldom can be planned far in advance, since its destination is usually unknown.
—Timothy Ferris, Coming of Age in the Milky Way (1988)[5]


(CC) Image: Cameron Neylon
A simplified depiction of the cyclic nature of scientific research: An initial observation triggers an idea that is being developed into a hypothesis which — if funds, equipment and the necessary expertise are available — may lead to experimental data (or other forms of verifiable evidence) that can support or contradict the hypothesis or other existing theoretical descriptions of the system at hand, which in turn can trigger independent replication or falsification of this particular experiment if the relevant information are made available to other researchers. Traditionally, this publication step would be achieved solely via articles in toll-access scientific journals but initiatives like Open access, Open Source and Open Data are increasingly making all these individual steps public, which is facilitated through the use of Web 2.0 technologies in what has come to be called Science 2.0.

Generally accepted components of a scientific method are:

  • Observation.[6] Observations do not just await discovery, rather they often result from active exploration, questioning, sharing ideas and information among scientists, thinking creatively. Moreover, according to most current views, observations do not come into view wholly independently of some predetermined or preconceived theory; scientists struggle to keep their preconceptions and presuppositions out of the picture.[7][8] Sometimes "believing is seeing".
  • Hypothesis. Hypotheses are general statements, formulated as plausible conjectures to explain existing observations and predict future observations.
  • Experiment.[9] An experiment is a procedure carried out under controlled conditions to discover an unknown effect; to provide confirming or disconforming evidence for a hypothesis, often based on whether a prediction of the hypothesis ensues; or, to illustrate an accepted theory. Not all areas of science involve direct experimentation; as an example for data-driven research, the Human Genome Project largely involved (highly technical) interpretation of gene sequences, but the data were obtained by experimental investigation.
  • Theory. A theory incorporates a set of supported hypotheses into a logical framework that overall explains the phenomenon studied. Not all of the statements of a theory are necessarily open to experimental testing, but many are expected to be for a theory to be considered scientific. The scientific method usually involves further testing of its accepted satisfactory overall explanation of a phenomenon, as natural phenomena usually have more observable features than the theorist knows at the time the theory hatches. A good theory will make accurate predictions about the behavioral aspects of the phenomenon studied, suggesting experiments to test its overall explanatory power.
  • Prediction. A prediction is a logical deduction from a hypothesis (or theory) by which the hypothesis (or theory) can be tested experimentally.
  • Testing. A 'test' of a hypothesis is an experiment, the results of which might falsify (disprove) the hypothesis; if the test does not falsify the hypothesis, the test is said to support ('confirm') the hypothesis. The same holds for testing theories.
  • Causal explanation. Satisfactory explanations are often regarded as those that establish a cause-effect relationship. However, many scientists argue that concepts of causality are not obligatory to science, but are well-defined only under particular conditions.[10] [11]
  • Skeptical open mindedness. Progress in extending existing theoretical frameworks is made possible by a scientific culture that encourages challenges to existing theory, while also demanding that far-reaching conjectures are validated by exceptional evidence.[12]

Philosophy of scientific methods

If the purpose of scientific methodology is to prescribe or expound a system of enquiry or even a code of practice for scientific behavior, then scientists seem to be able to get on very well without it. Most scientists receive no tuition in scientific method, but those who have been instructed perform no better as scientists than those who have not. Of what other branch of learning can it be said that it gives its proficients no advantage; that it need not be taught or, if taught, need not be learned? Peter Medawar[13]

Evolutionary processes and, in general, scientific explanations of the world are often in contrast with the immediate and simple explanations that our brain gives of reality (e.g. the sun seems to turn around the earth, the earth seems to be flat), and are influenced by what Francis Bacon called "idola"[[14]] (false notions or tendencies which distort the truth [[15]]).[16]

Non-scientists often represent science as a dry, mechanical activity, involving accumulating large numbers of facts, whether by simple observations or by technologically ingenious means. Indeed, this is an important part of science, and technological advances in our ability to interrogate the world have played an essential part in the advance of science: we need only consider how the light microscope, then the electron microscope, and now the scanning tunneling microscope[17] and two-photon laser scanning confocal microscopy have radically changed our understanding of the world. However, observations, things that we might sometimes call 'facts', are just the beginning. Thus, according to Charles Darwin (1809-1882), "science consists in grouping facts so that general laws or conclusions may be drawn from them."[18]

But what exactly do we mean by ‘facts’? We sometimes disagree about the ‘facts’ we see around us, and some things in the world are at odds with our understanding. How much can we trust our senses to allow us to believe what we see? How do scientists ‘group’ facts? How do they choose which facts to attend to, and is it possible to do this in an objective way? And having done this, how do they draw any broader conclusions? Most importantly, how can we ever know more than we observe directly? We live in a world that is not directly understandable: we all interpret everything that we see and hear and feel, and to make sense of what our senses tell us we need to construct explanations, or formulate theories. Our explanations identify some things as important and other things as irrelevant; they lead us to pay attention to some things and not others, and they lead us to expect some things to happen and not others — they lead, in other words, to predictions.

Nothing about this is unique to science, but scientists attempt to harness these universal elements of reasoning in a consistent, systematic and rigorous manner, and in a way that minimizes bias. What we call the 'scientific method' is an account of how scientists gather and report observations in ways that will be understood by other scientists and accepted as valid evidence, and how they construct explanations that are consistent with the world, and that can withstand logical and experimental scrutiny and provide the foundations for further increases in understanding.

For many, the scientific approach begins with an attitude of skepticism — a willingness to question accepted beliefs, expressed by René Descartes in 1637 as a determination "never to accept anything for true which I did not clearly know to be such". The English philosopher Francis Bacon (1561-1626), often described as the pioneer of the modern scientific method, proposed that scientists should "empty their minds" of self-evident truths and, by observation and experimentation, should draw general conclusions by a process known as induction.[19] Bacon described many of the commonly accepted principles of scientific method, but recognised that to interpret nature, something more than observation and reason is needed:

...the universe to the eye of the human understanding is framed like a labyrinth, presenting as it does on every side so many ambiguities of way, such deceitful resemblances of objects and signs, natures so irregular in their lines and so knotted and entangled. ... No excellence of wit, no repetition of chance experiments, can overcome such difficulties as these. Our steps must be guided by a clue...[20]

The 'something more' that is needed comes from imagination and intuition, guided by reason and understanding. Scientists make ambitious 'leaps' to envisage possible explanations that make sense of what we see. Classically, the scientific method has thus been broken into basic facets that start with observations of nature and how it behaves and then making a prediction about how it might behave under different circumstances. Scientists propose a hypothesis and, by experiments test it by eliminating any plausible alternatives in a process of falsification. Other scientists join in the process of hypothesis testing, while at the same time developing new hypotheses that seek to explain more and more, thereby building a foundation of knowledge that they call science. However all of this is guided by theory — a framework of accepted knowledge and understanding that guides our choice of questions to ask, guides our choices about how to go about answering those question, and guides our interpretation of the results of those experiments. This theoretical framework that captures what we think we already know is what provides the clues to know more. When we are mistaken in what we think we know, however, everything that we build on those foundations becomes unsafe, and when a new theory emerges much of what we thought we had learned has to be interpreted afresh. New theories are therefore embraced only with reluctance, only as a last resort, because of the inevitable disruption that entails.

Hypotheses

The man of science must work with method. Science is built up of facts, as a house is built of stones; but an accumulation of facts is no more a science than a heap of stones is a house. Henri Poincaré, mathematician and philosopher (1854-1912)[21]

The philosopher Karl Popper (1902-1994), in The Logic of Scientific Discovery [22] argued that the 'Baconian' process of induction — of gathering facts, considering them, and inferring general laws — is logically unsound, as many mutually inconsistent hypotheses might be consistent with any given facts.[23] Rather, Popper argued that the good scientist begins with a bold speculation, a hypothesis, from which he logically deduces predictions that can be tested by experiments. Experiments are not designed to confirm or verify the hypothesis, quite the contrary, they are designed to test the hypothesis, by attempting to disprove it. He argued that this 'hypothetico-deductive' method was the only sound way by which science makes progress, and concluded that for a proposition to be considered scientific, it must, at least in principle, be possible to make an observation that would show it to be false. Otherwise, the proposition has, as Popper put it, no connection with the real world.

Responses to Popper: Thomas Kuhn and the Science Wars

Popper's views were in marked contrast to those of his contemporary, Thomas Kuhn (1922-1996). Kuhn's own book The Structure of Scientific Revolutions was as influential as Popper's, but its message was very different. Kuhn analysed 'scientific revolutions' — times in the history of science when one dominant theory was replaced by another, such as the replacement of Ptolemy's geocentric model of the Universe with the Copernican heliocentric model, and the replacement of Newtonian laws of motion with Einstein's theory of Relativity.

While in many respects, Popper seemed to be making flat assertions about 'good science', Kuhn attempted to work as a sociologist, and to report what scientists actually did. At least initially in his career, he believed in some form of scientific progress.

Kuhn divided scientific development (to avoid the word 'progress') into two phases, times of normal science and times of paradigm shift. A paradigm is a logically consistent set of ideas that guides and constrains the work that scientists do. Scientific research conducted in accordance with a dominant paradigm is called normal science. A paradigm shift occurs when a radical change occurs in the fundamental beliefs scientists hold about their field of study.

Kuhn concluded that falsifiability had played almost no role in scientific revolutions. He argued that scientists working in a field resist the alternative interpretations of 'outsiders', and tenaciously defend their world view by continually elaborating their shared theory; "normal science often suppresses fundamental novelties because they are necessarily subversive of its basic commitments".

According to Kuhn, most progress is made in a scientific field when one theory is dominant. Progress occurs by the "puzzle solving" of scientists who are not trying to challenge the accepted theory, but are trying to extend its scope and explanatory power, bringing theory and fact into closer agreement by a "strenuous and devoted attempt to force nature into the conceptual boxes supplied by professional education".[24]

After the publication of 'The Structure of Scientific Revolutions' in 1962, Kuhn's revolution expanded. In the 1960s and 1970s, the academy (particularly in America) was in ferment. The development of radical and Marxist theory combined with political frustrations, and gave rise to a generation of academics who were deeply dissatisfied with the central narratives of American life, including scientific progress. Many of these academics latched on to Kuhn's ideas (and sometimes just his slogans) as a natural fit with their own ideas.

This frustration with mainstream science took a series of forms. In the 1970s, the conflict began with early skirmishes about intelligence testing and the small-scale, though ferocious, battle over sociobiology. (It is worth noting that the sociobiology affair remained primarily a dispute within science) The partisans of the sociobiology debate continued their struggle into the 1980s. In the 1990s, scholars from the humanities and social sciences launched an assault on the central beliefs of science in what came to be known, somewhat hyperbolically, as the science wars.

Theories

The three Laws of Thermodynamics can be expressed in many different ways[25]
Zeroeth Law: When two objects are separately in thermodynamic equilibrium with a third object, they are in equilibrium with each other.
First Law (Principle of Conservation of Energy): Between any two equilibrium states, the change in internal energy is equal to the difference of the heat transfer into the system and work done by the system.
Second Law (Carnot's Principle): A natural process that starts in one equilibrium state and ends in another will go in a direction that causes the entropy of the system plus the environment to increase for an irreversible process and to remain constant for a reversible process.

A scientific theory[26] is an overarching world view in an area of science. A theory may include statements of general scientific laws, such as the Laws of Thermodynamics, it has a logical structure and includes axioms and defined concepts, and broadly it seeks to provide a coherent explanation of a large body of observations, and to bind these together with a set of related hypotheses. Theories are a necessary part of science because they determine a common language by which scientists in a field can communicate — communication of ideas depends upon scientists sharing key assumptions and using a common terminology. A particular theory is adopted by a scientific community for complex reasons; theories are preferred when they are successful in explaining a wide body of observations, but also when they are elegant, aesthetically satisfying in a way that is hard to define. This is sometimes expressed as a preference for simple, clear explanations. In the 14th century, the English logician and Franciscan friar William of Ockham formulated the 'law of parsimony', commonly known as 'Ockham's razor' — "entities should not be multiplied more than is needed" (in Latin, entia non sunt multiplicanda praeter necessitatem).

An example of a current theory is the Theory of Evolution by Natural Selection. This seeks to explain the characteristics of all currently living organisms as the products of evolution, acting mainly by natural selection of organisms for reproductive success. The foundation of this theory is that, within any single species, individuals differ in the exact composition of their genes. These differences arise because of spontaneous random mutations in the genes, and because, in sexually reproducing organisms, every organism will inherit a different combination of genes from their parents, and because, independently of sexuality, there are mechanisms for generating novel genes by rearrangement of existing genes, and mechanisms for changing the way a gene functions. These processes for generating inheritable novelty produce differences in the traits of the individual organisms which can mean that some individuals are more likely to survive and reproduce than others, so the particular genes that they carry are more likely to be propagated in the next generation. Over time, beneficial genes — those that confer advantages to the individuals that carry them — will accumulate in a population, and maladaptive genes will be eliminated. Accordingly, over many generations, the characteristics of a population will change — the population will evolve. Eventually, in some circumstances, such as when a population is geographically isolated and subject to different environmental challenges, this can give rise to a new species.

It is not in the scope of this article to explain this theory fully or to defend it, but here we simply note a few features of this theory that are common to all theories. First, the theory explains a very large body of knowledge — the origin of the characteristics of all living things. Second, the theory involves presumptions: in this case, one presumption is that no intelligent creator directs the process of evolution. The theory cannot contradict the thesis that there is such an intelligent creator, it only declares that it is not necessary to invoke the existence of an intelligent creator to explain evolution. The theory does give an explanation for how living systems emerged from the non-living world. Third, the theory gives rise to hypotheses and to predictions. One hypothesis is that all life arises from common ancestors, and a prediction from this is that the genes of different species will show evidence for this, in that the genes that characterise different species will differ by a degree that is related to the time when the fossil record tells us that the species diverged. Fourth, the theory has undergone continual development and embellishment since it was first articulated by Charles Darwin, indeed the theory was proposed when virtually nothing was known of genes.

The Theory of natural selection is generally regarded as one of the 'cornerstones' of modern biology, but in a strict sense it is difficult to see it as falsifiable. It is accepted less because of the weight of experimental evidence, or because of its success in withstanding attempted disproof, but because of aesthetic considerations. In its essence it is seductively simple, and the force of its logic makes it seem self evidently true to contemporary biologists; it has a sweeping power to explain many diverse things, and it has succeeded, despite its simplicity, in stimulating many important ideas about the mechanisms underlying genes, their functions and their mechanisms of inheritance.

To say that the Theory is generally accepted is not to say that biologists are fully in agreement with each other; they are not, there is considerable debate and disagreement about many aspects of the Theory, especially about which of the many mechanisms of natural selection are most important. There are also alternatives, notably the Theory of Intelligent Design. This theory is based on the conclusion of its proponents that natural selection alone is incapable of explaining the evolution of highly complex organisms, and it postulates that some intelligence must have been involved in their design. The theory of Intelligent Design is accepted by very few biologists; most do not agree that the theory of natural selection cannot account for the complexity of living creatures, and so regard the concept of an intelligent designer as in breach of Ockham's razor.

For Popper, no theory can ever be shown to be true - a theory may be corroborated by evidence, but can never be verified. He regarded the old scientific ideal of certain, demonstrable knowledge as illusory: that we can be certain about our faith, but scientific statements are forever in doubt. It is not possession of knowledge that makes the "man of science", but the "persistent and reckless quest for truth." In his words:

Science does not rest upon solid bedrock. The bold structure of its theories rises, as it were, above a swamp. It is like a building erected on piles...if we stop driving the piles deeper, it is not because we have reached firm ground. We simply stop when we are satisfied that the piles are firm enough to carry the structure, at least for the time being. (Popper, K (1959) The Logic of Scientific Discovery)

The scientific method in practice

While scientists disagree among themselves and between themselves about whether there is a general "scientific method" and if so exactly what it involves, in any given field there are always some practices that are accepted as scientific good practice and others that are not. When scientists give expert evidence in Courts of Law, their evidence is given particular weight, reflecting the respect that is given to good scientific practice. In 1993, in the Daubert v. Merrell Dow Pharmaceuticals decision, the U.S. Supreme Court accorded a special status to 'The Scientific Method', in ruling that "… to qualify as 'scientific knowledge' an inference or assertion must be derived by the scientific method. Proposed testimony must be supported by appropriate validation - i.e., 'good grounds', based on what is known." The Court also stated that "A new theory or explanation must generally survive a period of testing, review, and refinement before achieving scientific acceptance. This process does not merely reflect the scientific method, it is the scientific method."[27]

The UK Research Charity Cancer Research UK gives an outline of the scientific method, as practised by their scientists[28].

Hypotheses

It is always safe and philosophic to distinguish, as much as is in our power, fact from theory; the experience of past ages is sufficient to show us the wisdom of such a course; and considering the constant tendency of the mind to rest on an assumption, and, when it answers every present purpose, to forget that it is an assumption, we ought to remember that it, in such cases, becomes a prejudice, and inevitably interferes, more or less, with a clear-sighted judgment. I cannot doubt but that he who, as a wise philosopher, has most power of penetrating the secrets of nature, and guessing by hypothesis at her mode of working, will also be most careful, for his own safe progress and that of others, to distinguish that knowledge which consists of assumption, by which I mean theory and hypothesis, from that which is the knowledge of facts and laws; never raising the former to the dignity or authority of the latter, nor confusing the latter more than is inevitable with the former.
—Michael Faraday[29]

[Scientists] start by making an educated guess about what they think the answer might be, based on all the available evidence they have. This is known as forming an hypothesis.[30]

A hypothesis is a proposed explanation of a phenomenon. It may be an “inspired guess”, a “bold speculation”, embedded in current understanding yet going beyond that to assert something that we do not know for sure as a way of explaining something not otherwise accounted for. Most importantly, a scientific hypothesis is something that has consequences, it leads to predictions and these can be tested by experiments. If the predictions prove wrong, the hypothesis is discarded, otherwise it is put to further test. If it resists determined attempts to disprove it, then it might come to be accepted, at least for the moment, as 'true'.

Scientists use many different means to generate hypotheses, including their own creative imagination, ideas from other fields, and by induction. Charles Sanders Peirce (1839-1914) described the incipient stages of inquiry, instigated by the "irritation of doubt" to venture a plausible guess, as abductive reasoning [31]. The history of science is full of stories of scientists claiming a "flash of inspiration" which motivated them. One of the best known is from the chemist August Kekulé (1829-1896), who proposed that structure of molecules followed particular rules. Kekulé recounted that the structure of benzene came to him in a dream, in which rows of atoms wound like serpents before him; one of the serpents seized its own tail: "the form whirled mockingly before my eyes. I came awake like a flash of lightning. This time also I spent the remainder of the night working out the consequences of the hypothesis".[32]

Experiments and observations

Researchers carry out carefully designed studies, often known as experiments, to test their hypothesis. They collect and record detailed information from the studies. They look carefully at the results to work out if their hypothesis is right or wrong…

An experiment is a procedure carried out under controlled conditions to gain new information or better understanding. Not all science involves experimentation; for example the human genome project largely involves (highly technical) interpretation of gene sequences, but the data were obtained by experimental investigation. Equally, not all experiments are designed to test hypotheses; some extend our knowledge by making more detailed observations of known phenomena, or by exploring new or unexplained phenomena more fully.

Between 1907 and 1917, the theoretical physicist Albert Einstein (1879-1955) developed the General theory of relativity, which, amongst other things, explains gravitation as a manifestation of curvature of space and time. Several predictions can be derived from Einstein's theory of General Relativity, and one prediction was that light will appear to 'bend' in a gravitational field by an amount that depends on the strength of the field. Arthur Eddington (1882-1994) devised experiments to test this prediction; his observations, made during a solar eclipse in 1919, supported General Relativity and showed the restrictions in applicability of the accepted theory of gravitation, credited to Isaac Newton (1643-1727).

Werner Heisenberg (1901-1976) was one of the physicists responsible for developing the theory of quantum mechanics (which so far resisted logical unification with general relativity). In a quote that he attributed to Albert Einstein, he stressed how observations depend upon the theories that are held at the time they are made [33] "The phenomenon under observation produces certain events in our measuring apparatus. As a result, further processes take place in the apparatus, which eventually and by complicated paths produce sense impressions and help us to fix the effects in our consciousness. Along this whole path—from the phenomenon to its fixation in our consciousness—we must be able to tell how nature functions, must know the natural laws at least in practical terms, before we can claim to have observed anything at all. Only theory, that is, knowledge of natural laws, enables us to deduce the underlying phenomena from our sense impressions."

For Karl Popper, theory was profoundly important in science; a theory encompasses the preconceptions by which the world is viewed, and defines what we choose to study, and how we study it and understand it. He recognised that theories are not discarded lightly, and a theory might be retained long after it has been shown to be inconsistent with known facts (anomalies). However, the recognition of anomalies drives scientists to adjust the theory, and if the anomalies continue to accumulate, will drive them to develop alternative theories. Popper proposed that a theory should be judged by the extent to which it inspires testable hypotheses. While theories always contain many elements that are not falsifiable, Popper argued that these should be as few as possible. However, scientists also seek theories that are "elegant"; a theory should yield clear, simple explanations of complex phenomena, that are intellectually satisfying in being logically coherent, rich in content, and involving no miracles or other supernatural devices.

Peer review

…Once they have completed their study, the researchers write up their results and conclusions. And they try to publish them as a paper in a scientific journal. Before the work can be published, it must be checked by a number of independent researchers who are experts in a relevant field. This process is called ‘peer review’, and involves scrutinising the research to see if there are any flaws that invalidate the results…

The main way of disseminating scientific information is through the peer-reviewed scientific literature. This is a vast array of academic journals that was once mainly restricted to the libraries of Universities and research institutes, but these are now mostly available on-line through the internet, and often they are freely available. There are many thousands of these journals, some of which are managed and owned by scientific societies, others by commercial publishers. The better scientific journals publish just a small proportion of the manuscripts submitted to them, and only after a process of peer review and revision. An article published in the peer-reviewed literature that describes the outcome of a series of experiments is known as a 'scientific paper'. Over their careers, many scientists may publish more than a hundred such papers, but even for the most successful scientists very few of their papers have a major, lasting influence. Some scientists have achieved wide acclaim despite publishing very few papers, because of the exceptional importance of those few. One measure of the influence of a paper is how often it is 'cited' — referenced in other scientific papers. As most scientific papers include references to about 30 other papers, an average paper will eventually accrue about 30 'citations'. Frederick Sanger, twice winner of the Nobel Prize for Chemistry (1958 and 1980)[34] published about 70 papers in his whole career; 30 of these have been cited more than 100 times each, and four of them more than 1000 times each.

Manuscripts submitted for publication in scientific journals are normally sent by the editor to (usually one to three) other scientists for evaluation. These 'expert referees' advise the editor about the suitability of the paper for publication in the journal. They also report, usually anonymously, on its strengths and weaknesses, pointing out any errors or omissions that they noticed and offering suggestions for how the paper might be improved by revision or by further experiments. With this advice, the editor might reject the paper or decide that it might be acceptable if appropriately revised.

Peer review has been widely adopted by the scientific community, but has weaknesses. It is easier to publish data that are consistent with a generally accepted theory than data that contradict it. This helps to ensure the stability of the accepted theory, but also means that the appearance of the extent to which a current theory is supported by evidence might be misleading — boosted by a poorly scrutinised supportive work while insulated from criticism. The biologist Lynn Margulis encountered great difficulty in publishing her theory that the eukaryotic cell is a symbiotic union of primitive prokaryotic cells. In 1966, she wrote a theoretical paper entitled The Origin of Mitosing Cells; it was "rejected by about fifteen scientific journals," as Margulis recalled. Finally accepted by The Journal of Theoretical Biology, it is now considered a landmark in modern endosymbiotic theory.[35] In 1995, Richard Dawkins said, "I greatly admire Lynn Margulis's sheer courage and stamina in sticking by the endosymbiosis theory, and carrying it through from being an unorthodoxy to an orthodoxy." [36]

To the defense of the possible conservatism of reviewers, it must be remarked that they must trust at face value the experimental data that are in the manuscript before them. They cannot repeat the experiments and verify their outcome—they lack the time and often the possibility. All a reviewer can do is decide whether experimental data look "reasonable", which implies a judgment about the plausibility of the data in the light of the ruling paradigm. There are some famous cases of fraud that took years before unveiling, mainly because the fraud took care that his/her faked results looked "reasonable". Conversely, experimental data and theories that look "unreasonable" (in contradiction with the dominant paradigm) may need a long time (and affirmation by different laboratories) before they are deemed publishable. Notorious is the affair around the publication of Benveniste's "unreasonable" experimental data on the memory of water in Nature.

The scientific literature

…If the study is found to be good enough, the findings are published and acknowledged by the wider scientific community…

The way in which scientific research is presented in published form is governed by sometimes quite rigid conventions. Although they differ slightly from one field to another, a scientific paper generally has an 'Introduction', which gives a brief background to the question that is being addressed, a 'Methods' section, which details the experimental procedures in enough detail to allow them to be replicated independently, a 'Results' section which objectively details the findings, and a 'Discussion' section in which the authors interpret the findings and relate them to other work.

Peter Medawar (1915-1987), Nobel laureate in Physiology and Medicine, in his article “Is the scientific paper a fraud?” [37] argued that the scientific paper in its orthodox form embodies "a totally mistaken conception, even a travesty, of the nature of scientific thought." Because the results of an experiment are interpreted only at the end (in the discussion section) of scientific papers, this gives the impression that those conclusions are drawn by induction or deduction from the reported evidence. However, explains Medawar, it is the expectations that a scientist begins with that provide the incentive for the experiments, determine their nature, and determine which observations are relevant and which are not. Only in the light of these initial expectations do the activities described in a paper have any meaning at all. The expectation, the original hypothesis, according to Medawar, is not the product of inductive reasoning but of inspiration — educated guesswork.

Confirmation

…But, it isn’t enough to prove a hypothesis once. Other researchers must also be able to repeat the study and produce the same results, if the hypothesis is to remain valid…

Sometimes scientists make errors in the design, execution or analysis of their experiments, so it is common for other scientists to try to repeat experiments, especially when the results were surprising. [38] Accordingly, scientists keep detailed records of their experiments, to provide evidence of their effectiveness and integrity and assist in reproduction. Generally, in publishing their work, it is considered essential that scientists describe their methods in enough detail to allow them to be repeated by others. However, a scientist cannot record everything about an experiment; he (or she) reports what he believes to be relevant. This can cause problems if some supposedly irrelevant feature is questioned. For example, Sidney Ringer's experiments with isolated frog hearts first led him to declare that the heart could continue to beat if kept in a simple saline solution. However, he later discovered that the solution had been made up not with distilled water but with London tap water, which contained a significant amount of calcium carbonate. He retracted his first reports, and is now known as the scientist who showed that calcium is important for the contractions of the heart. [39]

Statistics

…If the initial study was carried out using a small number of samples or people, larger studies are also needed. This is to make sure the hypothesis remains valid for bigger group and isn't due to chance variation…

Scientists analyse their data using the theory and methods of Statistics, which arose from probability theory. Statistical analysis essentially involves methods for drawing conclusions from data that involve multiple sources of error.

Statistical analysis is a part of hypothesis testing in many areas of science. This formalises the criteria for disproof by allowing statements of the form: "If our hypothesis is true, the chance of getting the results that we observed is (say) only 1 in 20 or less (P < 0.05); therefore the hypothesis is probably wrong, and so we reject it. For instance, we might predict that a given chemical will produce a certain effect. However what we often test is not this, but the null hypothesis - that the chemical will have no effect. The reason is that, if our original hypothesis is vague about how big an effect to expect, then we cannot disprove it, as we can't exclude the possibility that the effect is too small to measure. However, we can disprove the null hypothesis (by showing an effect). Ideally, we choose hypotheses that give precise predictions, but this is often unrealistic. In medicine for example, we might expect a new drug to be effective in a particular condition from our understanding of its mechanism of action. Even so, we might not know how big an effect to expect because of many uncertainties - how many people will be resistant to the drug? for example, and how quickly will tolerance to the drug develop in people who respond well?

This is not hypothesis testing in Popper's sense, because the hypothesis is not put at any hazard of disproof. Verification of this type is something that Popper considered to be, at best, weak corroborative evidence, partly because it is impossible to measure the support that such evidence provides. [40]

In the 18th century, an English clergyman, Thomas Bayes (1702-1761) proved a result, now known as Bayes Theorem, that, in some interpretations, provides a formal method for revising beliefs in the light of new evidence [41]. It has been argued that Bayesian statistics can be used to provide a basis for support by induction, and some areas of science use these approaches. Bayesian statistics measures how the probability that a hypothesis is true changes as a result of observations, but it depends on assigning initial values to the probabilities of alternative outcomes of an experiment. This is not always possible because of the difficulty of assigning these a priori probabilities in any meaningful way.

Progress and controversy in science

...Over time, scientific opinion can change. This is because new technologies can allow us to re-examine old questions in greater detail.

Although skepticism, or doubt, has long been recognised as an important element in all science, Kuhn argued that scientific opinion does not change easily in fundamental things. In particular, one theory or world view is replaced by another not because many scientists are 'converted' to the new world view. Instead, a new theory begins as an unfashionable alternative that is often derided, but gains adherents as its advantages become apparent to new scientists entering the field, while the adherents of the old view fight a 'rear-guard action' to defend it. Barbara McClintock's work on regulatory elements that control gene expression won her the Nobel Prize in Physiology or Medicine in 1983, but in 1953 she decided to stop trying to publish detailed accounts of her work, because of the puzzlement and hostility of her peers. In 1973 she wrote:

"Over the years I have found that it is difficult if not impossible to bring to consciousness of another person the nature of his tacit assumptions when, by some special experiences, I have been made aware of them. ...One must await the right time for conceptual change"[42]

Kuhn focused attention on the unexplainable phenomena as the key to scientific revolutions, which he called "paradigm shifts". One example reported in The Structure of Scientific Revolutions dates back to the mathematical astronomer Claudius Ptolemy, who lived in Egypt in the 2nd century CE. The improvements in astronomical observation, and the accumulation of more data during that time required more and more elaborate explanations to reconcile the observational data with the accepted belief that the earth was the centre of the solar system, and indeed of the universe. By the time of Copernicus (1473-1543), so much evidence had accumulated suggesting that the sun was in fact the center of the solar system, the whole infrastructure of theories broke down, leading the way to acceptance of a new heliocentric world picture. Yet, it took more than a century before all astronomers were convinced. When Einstein showed in 1905 that there is no ether, or at least that the concept is superfluous and may be removed from physics by Ockham's razor, many of the older generation of physicists did not accept this paradigm shift and died believing in ether; they were not converted, the ether concept died out.

New observations about natural phenomena continue to lead to such revolutions in biology, plate tectonics, particle physics, and many other branches of science.

Alternative views

"The progress of science is often affected more by the frailties of humans and their institutions than by the limitations of scientific measuring devices. The scientific method is only as effective as the humans using it. It does not automatically lead to progress." Steven S. Zumdahl

The success of science, as measured by the technological achievements that have changed our world, have led many to conclude that this success is because of the methodological rules that scientists follow. However, not all philosophers accept this conclusion; for example, Paul Feyerabend (1924-1994) denied that science is genuinely a methodological process. In his book Against Method he argued that scientific progress is not the result of applying any particular rules.[43] Instead, he concluded almost that 'anything goes', in that for any particular 'rule' there are abundant examples of successful science that have proceeded in a way that seems to contradict it.[44] To Feyeraband, there is no real difference between science and other areas of human activity characterised by reasoned thought. A similar sentiment was expressed by T.H. Huxley in 1863: "The method of scientific investigation is nothing but the expression of the necessary mode or working of the human mind. It is simply the mode at which all phenomena are reasoned about, rendered precise and exact."[45]

Some scientists focus their activity on making precise and detailed observations of a phenomenon, gathering data, organizing it in sensible ways, making it accessible to other scientists. We do not disqualify those scientists as ‘scientists’ on the grounds they do not employ a scientific method. Other scientists might use their observational data to generate testable hypotheses, and other scientists might test those hypotheses by experiment, and others try to reproduce the findings. That illustrates an instance of the scientific method in action realized by the combined effort of two or more scientists working with different methods, not necessarily in one generation. Regardless of the hopefully rational approach that each scientist employs in her 'scientific method', none can leave their biases and passions outside their mind. Sometimes biases and passions contribute the advancement of science. The scientific method is the endeavor of humans, prone to error for many reasons, prone to creative insights by nature. But scientists agree on the need for verifiable knowledge, and they cannot suppress the emergence of new perspectives and paradigms.

In his 1958 book, Personal Knowledge, the chemist and philosopher Michael Polanyi (1891-1976) criticized the view that the scientific method is purely objective and generates objective knowledge. Polanyi thought that this was a misunderstanding of the scientific method, and argued that scientists do and must follow their passions in appraising facts and in choosing which questions to investigate. He concluded that a structure of liberty is essential for the advancement of science — that the freedom to pursue science for its own sake is a prerequisite for the production of knowledge.[46]

The changing nature of science

Charles Darwin was an amateur scientist, a man of independent means and broad ranging interests who worked to satisfy his own curiosity. Still in the early 20th century, science was the province of individuals with wide interests. Albert Einstein was working as clerk in a patent office in Bern in 1905, the year that he published four papers in Annalen der Physik that are now each recognised as hugely important; the four papers discuss the particulate nature of light; Brownian motion; the theory of special relativity; and the equivalence of matter and energy.

In the 20th century, science became largely professionalised, conducted increasingly by specialised experts employed in Universities or research institutes, and increasingly governed by the priorities of funding bodies, which in turn have become increasingly influenced by the political priorities of the Governments that are the source of the funding for research.

The 'lone scientist' is now a rare animal; most science is now a collaborative enterprise, often conducted in large teams where each member of the team supplies a specific area of specialised expertise. Most of Frederick Sanger's scientific papers, published between 1945 and 1980, were either authored by him alone or with just one other co-author. This is now unusual in the Life Sciences, where most papers have several authors and many have ten or more. In experimental high-energy physics, papers with more than 100 authors from 40 or more institutions are the rule.[47]

Increasingly, scientists work towards specified ambitious goals; a prime example is the Human Genome Project, a research program involving hundreds of laboratories across many countries directed at sequencing the entire human genome. This 13-year project, coordinated by the U.S. Department of Energy and the National Institutes of Health, was completed in 2003.

Thus the 20th century saw a transition from curiosity-driven research to hypothesis-driven research and then to goal-directed research. These changes were accompanied by major changes in the sociology of the scientific community. Research scientists today mostly have a very narrowly specialised technical expertise, are professionally employed, funded directly or indirectly by Governments, research charities or industry, and generally work within a team that may be part of a multinational network of teams working to a common goal.

Notes and references

  1. Isaac Newton (1643-1727) The Rules of Reasoning in Philosophy Excerpts in: The Mathematical Principles of Natural Philosophy. Source: Modern History Sourcebook
  2. Full-Text: Newton's Principia: The Mathematical Principles of Natural Philosophy (c1846), including BOOK III. RULES OF REASONING IN PHILOSOPHY
  3. Leng G, MacGregor DJ. (2008) Mathematical Modelling in Neuroendocrinology. Journal of Neuroendocrinology: From Molecular to Translational Neurobiology 20:713-718.
    • Excerpt: Our science is not only about facts, but also about explanations; rational accounts of phenomena, embedded in a framework of theory, which include a wide range of observations and which are predictive of behaviour in circumstances as yet untested. We all seek to explain the world of observations using a set of logically interacting components, and we all simplify by recognising that some observations are important while others can be reasonably neglected. Formulating such explanations mathematically is a natural ambition, because this ensures their logical consistency, and makes them open to structured analysis; it is a stringent test of their intellectual coherence.
  4. Citizendium Collaborators. (2009) Biology’s Next Microscope: Mathematics. Citizendium Free Online Encyclopedia.
    • Excerpt: Mathematics broadly interpreted is a more general microscope. It can reveal otherwise invisible worlds in all kinds of data, not only optical….Charles Darwin was right when he wrote that people with an understanding “of the great leading principles of mathematics... seem to have an extra sense”….Today’s biologists increasingly recognize that appropriate mathematics can help interpret any kind of data. In this sense, mathematics is biology’s next microscope, only better.
  5. Ferris T. (1988) Coming of Age in the Milky Way. New York: Morrow, ISBN 0688058892. | Google Books preview, 2003 edition.
  6. According to the logical positivist philosopher Rudolf Carnap, philosophers and scientists use the term 'observable' in different ways. To philosophers, 'observable' applies to properties that are directly perceived by the senses, such as "blue", "hard" and "hot". To scientists, the word includes anything that can be measured relatively simply and directly. Carnap R (1966)Theories and Nonobservables from Philosophical Foundations of Physics Basic Books, ASIN B0000CN9NI
  7. Theory-ladenness by Paul Newall at The Galilean Library
  8. Darwin CR. (1861) Letter 3257 — Darwin, C. R. to Fawcett, Henry, 18 Sept (1861)
    • Note: Darwin understood the point. Excerpt from the letter to Fawcett: “About thirty years ago there was much talk that geologists ought only to observe and not theorise; and I well remember some one saying that at this rate a man might as well go into a gravel-pit and count the pebbles and describe the colours. How odd it is that anyone should not see that all observation must be for or against some view if it is to be of any service!”” [Emphasis added]
  9. For Aristotle, science was the product of reason applied to careful observations; Galileo Galilei by contrast used experiments as a way to interrogate Nature.
  10. Dowe, Phil. (Fall 2008 Edition) Causal Processes. The Stanford Encyclopedia of Philosophy. Edward N. Zalta.
  11. Woodward, James. (Spring 2009 Edition) Scientific Explanation. The Stanford Encyclopedia of Philosophy. Edward N. Zalta (ed.).
  12. Note: Regarding 'skeptical open mindedness', to paraphrase space engineer, James Oberg, open mindedness confers virtue unless it so opens the mind that one's brains fall out. (Cited by Carl Sagan, in The Demon-Haunted World: Science as a Candle in the Dark. Ballantine Books: New York, 1997. Preview Sagan's book at Google Books here.)
    • Excerpt: Keeping an open mind is a virtue — but, as the space engineer James Oberg once said, not so open that your brains fall out. Of course we must be willing to change our minds when warranted by new evidence. But the evidence must be strong. Not all claims to knowledge have equal merit. (Page 187)
  13. Medawar P (1982) Pluto's Republic, Oxford University Press ISBN 0192830392; read a review here
  14. Hall MP. The Four Idols of Francis Bacon: The New Instrument of Knowledge.
    • "In the Novum Organum (the new instrumentality for the acquisition of knowledge) Francis Bacon classified the intellectual fallacies of his time under four headings which he called idols. He distinguished them as idols of the Tribe, idols of the Cave, idols of the Marketplace and idols of the Theater…An idol is an image, in this case held in the mind, which receives veneration but is without substance in itself. Bacon did not regard idols as symbols, but rather as fixations."
  15. Fantini F. (2005) Didattica dell'evoluzione. In Evoluzione tra ricerca e didattica, XIV – Special number Edited by: Associazione Nazionale Insegnanti di Scienze Naturali. Agnano Pisano: Stamperia Editoriale Pisana; 2005:203-209.
  16. Guidetti R, Baraldi L, Calzolai C, Pini L, Veronesi P, Pederzoli A. (2007) Fantastic animals as an experimental model to teach animal adaptation. BMC Evolutionary Biology 7(Suppl 2):S13 doi: 10.1186/1471-2148-7-S2-S13.
  17. Scanning Tunneling Microscope at the Nobel Foundation's website
  18. From the autobiography of Charles Darwin, available online.
  19. Bacon, Francis (1620) Novum Organum (The New Organon)
  20. from Preface to The Great Instauration; 4.18 quoted in Pesic P (2000) The Clue to the labyrinth: Francis Bacon and the decryption of nature Cryptologia. Francis Bacon should not be confused with Roger Bacon (ca 1214-1294), a Franciscan friar who also has claims to be a pioneer of observation and experiment, and who was imprisoned when his work challenged the dogma of the Church.
  21. Henri Poincaré (1905). Science and Hypothesis. London: Walter Scott Publishing.
  22. Popper K (1959) The Logic of Scientific Discovery (Translation of Logik der Forschung). The Nobel prize winner Sir Peter Medawar called this book "one of the most important documents of the 20th century"
  23. Vickers, J (2006). The Problem of Induction (Stanford Encyclopedia of Philosophy). Stanford Encyclopedia of Philosophy. Retrieved on 2007-11-16.
  24. Kuhn TS (1961) The Function of Measurement in Modern Physical Science ISIS 52:161–193
    • Kuhn TS (1962)The Structure of Scientific Revolutions University of Chicago Press, Chicago, IL. 2nd edition 1970, 3rd edition 1996
    • Kuhn TS (1977) The Essential Tension, Selected Studies in Scientific Tradition and Change University of Chicago Press, Chicago, IL
    • A Synopsis from the original by Professor Frank Pajares, From the Philosopher's Web Magazine
    • Moloney DP (2000) First Things 10153-5
  25. these examples are given as on a NASA web site
  26. In science, the term "theory" indicates a logically connected set of hypotheses supported by a significant body of evidence. In daily life the term is used as in "that's just your theory", a hunch which may or may not be correct. This difference in meaning leads to miscommunication between scientists and laypersons, see: Helen Quinn, Belief and knowledge—a plea about language, Physics Today, January 2007.
  27. Text of the opinion, LII, Cornell University; Daubert-The Most Influential Supreme Court Decision You've Never Heard of
  28. Science fact or fiction?, from Cancer Research UK
  29. Faraday M. (1844) Experimental Researches in Electricity. Volume 2. Richard and John Edward Taylor, printers and publishers to the University of London. | Google Book full-text.
    • "It is always safe and philosophic to distinguish...", pp. 285-286.
  30. This quote and the ones that follow are from the Cancer Research UK outline.
  31. Charles Sanders Peirce entry at the Stanford Encyclopedia of Philosophy
  32. cited in Bargar RR, Duncan JK (1982) Cultivating creative endeavor in doctoral research J Higher Educ 53:1-31 doi
  33. Heisenberg, Werner (1971) Physics and Beyond, Encounters and Conversations, A.J. Pomerans (trans.), Harper and Row, New York, NY pp.63–64
  34. 1958 Nobel Prize for Chemistry and 1980 Nobel Prize for Chemistry)
  35. Sagan L (1967) On the origin of mitosing cells" J. Theor Biol 14:255-74 Abstract
  36. John Brockman, The Third Culture, New York: Touchstone 1995, 144
  37. Medawar, P. B. “Is the scientific paper a fraud?”, BBC Third Programme, Listener 70, 12 September 1963.
  38. Georg Wilhelm Richmann was killed by lightning in 1753 when attempting to replicate the kite experiment of Benjamin Franklin. Krider P (2006) Benjamin Franklin and lightning rods Physics Today 59:42, available online
  39. Carafoli E (2002) Calcium signalling: a tale for all seasons PNAS USA 99:115-22
  40. In appendix ix to The Logic, Popper states: "As to degree of corroboration, it is nothing but a measure of the degree to which hypothesis h has been tested...it must not be interpreted therefore as a degree of the rationality of our belief in the truth of h...rather it is a measure of the rationality of accepting, tentatively, a problematic guess."
  41. Bellhouse DR (2004) The reverend Thomas Bayes FRS: a biography to celebrate the tercentenary of his birth Statistical Science 19:3-43
  42. McClintock B (1987) The discovery and characterization of transposable elements: the collected papers of Barbara McClintock, ed John A. Moore. Garland Publishing, Inc. ISBN 0-8240-1391-3. (Introduction)
  43. Feyerabend PK (1975) Against Method, Outline of an Anarchistic Theory of Knowledge Reprinted, Verso, London, UK, 1978; for a critical review, see "Against too much method" by John Worrall
  44. Feyerabend's 'anything goes' argument explained at the Galilean Library. Criticisms such as his led to the strong programme, a radical approach to the sociology of science.
  45. Huxley TH (1863) From a 1863 lecture series aimed at making science understandable to non-specialists
  46. Relativism entry at the Stanford Encyclopedia of Philosophy
  47. For example, see a randomly picked article in the May 2009 issue of the European Physical Journal C DOI