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Scientific method

Updated: 12/11/2025, 1:36:45 PM Wikipedia source

The scientific method is an empirical method for acquiring knowledge through careful observation, rigorous skepticism, hypothesis testing, and experimental validation. Developed from ancient and medieval practices, it acknowledges that cognitive assumptions can distort the interpretation of the observation. The scientific method has characterized science since at least the 17th century. Scientific inquiry includes creating a testable hypothesis through inductive reasoning, testing it through experiments and statistical analysis, and adjusting or discarding the hypothesis based on the results. Although procedures vary across fields, the underlying process is often similar. In more detail: the scientific method involves making conjectures (hypothetical explanations), predicting the logical consequences of hypothesis, then carrying out experiments or empirical observations based on those predictions. A hypothesis is a conjecture based on knowledge obtained while seeking answers to the question. Hypotheses can be very specific or broad but must be falsifiable, implying that it is possible to identify a possible outcome of an experiment or observation that conflicts with predictions deduced from the hypothesis; otherwise, the hypothesis cannot be meaningfully tested. While the scientific method is often presented as a fixed sequence of steps, it actually represents a set of general principles. Not all steps take place in every scientific inquiry (nor to the same degree), and they are not always in the same order. Numerous discoveries have not followed the textbook model of the scientific method, and, in some cases, chance has played a role.

Tables

· Relationship with mathematics
1
1
Col 1
1
Mathematical method
Understanding
Scientific method
Characterization from experience and observation
2
2
Col 1
2
Mathematical method
Analysis
Scientific method
Hypothesis: a proposed explanation
3
3
Col 1
3
Mathematical method
Synthesis
Scientific method
Deduction: prediction from the hypothesis
4
4
Col 1
4
Mathematical method
Review/Extend
Scientific method
Test and experiment
Mathematical method
Scientific method
1
Understanding
Characterization from experience and observation
2
Analysis
Hypothesis: a proposed explanation
3
Synthesis
Deduction: prediction from the hypothesis
4
Review/Extend
Test and experiment

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    https://doi.org/10.1111%2Fj.1949-8594.1996.tb10205.x
  218. The American Biology Teacher
    https://doi.org/10.2307%2F4451400
  219. Scientific Method in Brief
  220. History of Education Quarterly
    https://doi.org/10.1111%2Fj.1748-5959.2005.tb00039.x
  221. The American Biology Teacher
    https://doi.org/10.2307%2F4450823
  222. Translational and Experimental Clinical Research
    https://books.google.com/books?id=C7pZftbI0ZMC&pg=PA3
  223. Traditionally 5, after Dewey's 1910 idea of a "complete act of thought". He held that thought-process best represented s
  224. Introduction to psychology
    https://opentextbc.ca/introductiontopsychology/chapter/2-1-psychologists-use-the-scientific-method-to-guide-their-research/
  225. Specifically, the scientific method has featured in introductory science courses for biology, medicine, and psychology.
  226. Science & Education
    https://doi.org/10.1007%2Fs11191-021-00235-w
  227. Journal of College Science Teaching
    https://search.worldcat.org/issn/0047-231X
  228. Science & Education
    https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550242
  229. Education, Citizenship and Social Justice
    https://pure.rug.nl/ws/files/44567891/1746197916648283.pdf
  230. Here, King quotes Peter L. Berger and Thomas Luckman, The Social Construction of Reality (London, 1967), 16.
  231. History and Theory
    https://doi.org/10.2307%2F2504396
  232. "Kamal al-Din Abu'l Hasan Muhammad Al-Farisi"
    http://www-gap.dcs.st-and.ac.uk/~history/Biographies/Al-Farisi.html
  233. Social Studies of Science
    https://doi.org/10.1177%2F030631286016001009
  234. Epistemic cultures: how the sciences make knowledge
    https://search.worldcat.org/oclc/39539508
  235. As cited in Fleck (1979), p. 27, Fleck (1979), pp. 38–50
  236. Fleck (1979), p. xxviii
  237. Fleck (1979), p. 27
  238. The Structure of Scientific Revolutions
  239. Feyerabend, Paul K (1960) "Patterns of Discovery" The Philosophical Review (1960) vol. 69 (2) pp. 247–252
  240. For example: Higher Superstition: The Academic Left and Its Quarrels with Science, The Johns Hopkins University Press, 1
  241. Singapore Medical Journal
    https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4520913
  242. The Incomplete Guide to the Art of Discovery
  243. "Antifragility — or — The Property Of Disorder-Loving Systems"
    https://web.archive.org/web/20130507124322/http://www.edge.org/q2011/q11_3.html
  244. t
    https://pubs.asahq.org/anesthesiology/article/60/5/505/29253/Regarding-the-Misuse-of-t-Tests
  245. Anderson, Chris (2008) The End of Theory: The Data Deluge Makes the Scientific Method Obsolete Archived 2021-05-02 at th
    http://www.uvm.edu/~pdodds/files/papers/others/2008/anderson2008a.pdf
  246. Ludwik Fleck (1979) Genesis and Development of a Scientific Fact Archived 2021-08-26 at the Wayback Machine
    https://worldpece.org/sites/default/files/artifacts/media/pdf/fleck_et_al._-_2008_-_genesis_and_development_of_a_scientific_fact.pdf
  247. Pólya (1957), p. 131 in the section on 'Modern heuristic': "When we are working intensively, we feel keenly the progress
  248. Huai-Dong Cao and Xi-Ping Zhu (3 Dec 2006) Hamilton-Perelman's Proof of the Poincaré Conjecture and the Geometrization C
    https://arxiv.org/pdf/math/0612069.pdf
  249. George Lakoff and Rafael E. Núñez (2000) Where Mathematics Comes From
  250. "If you can't solve a problem, then there is an easier problem you can solve: find it." —Pólya (1957), p. 114
  251. George Pólya (1954), Mathematics and Plausible Reasoning Volume I: Induction and Analogy in Mathematics.
  252. George Pólya (1954), Mathematics and Plausible Reasoning Volume II: Patterns of Plausible Reasoning.
  253. Pólya (1957), p. 142.
  254. Pólya (1957), p. 144.
  255. Lakatos (1976) documents the development, by generations of mathematicians, of Euler's formula for polyhedra.
  256. H.S.M. Coxeter (1973) Regular Polytopes ISBN 9780486614809, Chapter IX "Poincaré's proof of Euler's formula"
  257. Charles A. Weibel
    https://web.archive.org/web/20210906014123/https://faculty.math.illinois.edu/K-theory/0245/survey.pdf
  258. Henri Poincaré, Sur l'analysis situs, Comptes rendusde l'Academie des Sciences 115 (1892), 633–636. as cited by Lakatos
  259. John Stillwell, reviewer (Apr 2014). Notices of the AMS. 61 (4), pp. 378–383, on Jeremy Gray's (2013) Henri Poincaré: A
    http://www.ams.org/notices/201404/rnoti-p378.pdf
  260. Lakatos (1976), p. 55.
  261. Mackay (1991), p. 100.
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