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==Branches== {{Main|Branches of science}} Modern science is commonly divided into three major [[Branches of science|branch]]es: [[natural science]], [[social science]], and [[formal science]].<ref name="Cohen2021"/> Each of these branches comprises various specialised yet overlapping scientific disciplines that often possess their own [[nomenclature]] and expertise.<ref>{{cite magazine |url=http://seedmagazine.com/content/article/scientific_method_relationships_among_scientific_paradigms/ |title=Scientific Method: Relationships Among Scientific Paradigms |date=7 March 2007 |magazine=Seed Magazine |access-date=4 November 2016 |url-status=dead |archive-url=https://web.archive.org/web/20161101001155/http://seedmagazine.com/content/article/scientific_method_relationships_among_scientific_paradigms/ |archive-date=1 November 2016}}</ref> Both natural and social sciences are [[empirical science]]s,<ref>{{cite book |title=Philosophy of Science: From Problem to Theory |last=Bunge |first=Mario Augusto |year=1998 |publisher=Transaction |isbn=978-0-7658-0413-6 |page=24}}</ref> as their knowledge is based on [[Empirical evidence|empirical observations]] and is capable of being tested for its validity by other researchers working under the same conditions.<ref name="Popper2002">{{cite book |last=Popper |first=Karl R. |year=2002a |chapter=A survey of some fundamental problems |title=The Logic of Scientific Discovery |url=https://archive.org/details/logicscientificd00popp_574 |url-access=limited |orig-date=1959 |pages=[https://archive.org/details/logicscientificd00popp_574/page/n133 3]–26 |publisher=Routledge |location=New York |isbn=978-0-415-27844-7}}</ref> === Natural === [[Natural science]] is the study of the physical world. It can be divided into two main branches: [[life science]] and [[physical science]]. These two branches may be further divided into more specialised disciplines. For example, physical science can be subdivided into physics, [[chemistry]], [[astronomy]], and [[earth science]]. Modern natural science is the successor to the [[natural philosophy]] that began in [[Ancient Greece]]. [[Galileo]], [[Descartes]], [[Francis Bacon|Bacon]], and [[Isaac Newton|Newton]] debated the benefits of using approaches that were more [[mathematical physics|mathematical]] and more experimental in a methodical way. Still, philosophical perspectives, [[conjecture]]s, and [[presupposition]]s, often overlooked, remain necessary in natural science.<ref>{{cite book |last=Gauch |first=Hugh G. Jr. |chapter=Science in perspective |title=Scientific Method in Practice |publisher=Cambridge University Press |chapter-url=https://books.google.com/books?id=iVkugqNG9dAC&pg=PA71 |pages=21–73 |isbn=978-0-521-01708-4 |year=2003 |access-date=3 September 2018}}</ref> Systematic data collection, including [[discovery science]], succeeded [[natural history]], which emerged in the 16th century by describing and classifying plants, animals, minerals, and other biotic beings.<ref>{{cite book |last=Oglivie |first=Brian W. |year=2008 |chapter=Introduction |title=The Science of Describing: Natural History in Renaissance Europe |pages=1–24 |edition=Paperback |publisher=University of Chicago Press |isbn=978-0-226-62088-6}}</ref> Today, "natural history" suggests observational descriptions aimed at popular audiences.<ref>{{cite dictionary |title=Natural History |url=http://wordnetweb.princeton.edu/perl/webwn?s=natural+history |dictionary=Princeton University WordNet |access-date=21 October 2012 |url-status=live |archive-url=https://web.archive.org/web/20120303173506/http://wordnetweb.princeton.edu/perl/webwn?s=natural+history |archive-date=3 March 2012}}</ref> === Social === [[File:Supply-demand-equilibrium.svg|thumb|[[Supply and demand]] curve in economics, crossing over at the optimal equilibrium|alt=Two curve crossing over at a point, forming a X shape]] [[Social science]] is the study of human behaviour and the functioning of societies.<ref name="Colander2019"/><ref name="Nisbet2020"/> It has many disciplines that include, but are not limited to [[anthropology]], economics, history, [[human geography]], [[political science]], psychology, and sociology.<ref name="Colander2019" /> In the social sciences, there are many competing theoretical perspectives, many of which are extended through competing [[research programme]]s such as the [[functionalists]], [[conflict theories|conflict theorists]], and [[interactionism|interactionists]] in sociology.<ref name="Colander2019" /> Due to the limitations of conducting controlled experiments involving large groups of individuals or complex situations, social scientists may adopt other research methods such as the [[historical method]], [[case studies]], and [[cross-cultural studies]]. Moreover, if quantitative information is available, social scientists may rely on statistical approaches to better understand social relationships and processes.<ref name="Colander2019" /> === Formal === [[Formal science]] is an area of study that generates knowledge using [[formal system]]s.<ref>{{cite web |url=https://my.wlu.edu/the-sciences-at-wandl/formal-sciences |title=Formal Sciences: Washington and Lee University |website=Washington and Lee University |access-date=14 May 2021 |quote=A "formal science" is an area of study that uses formal systems to generate knowledge such as in Mathematics and Computer Science. Formal sciences are important subjects because all of quantitative science depends on them. |archive-date=14 May 2021 |archive-url=https://web.archive.org/web/20210514125428/https://my.wlu.edu/the-sciences-at-wandl/formal-sciences |url-status=live}}</ref><ref name="Löwe2002"/><ref name="Rucker2019"/> A formal system is an [[abstract structure]] used for inferring [[theorem]]s from [[axiom]]s according to a set of rules.<ref>{{Cite encyclopedia |title=Formal system |url=https://www.britannica.com/topic/formal-system |access-date=30 May 2022 |encyclopedia=Encyclopædia Britannica |archive-date=29 April 2008 |archive-url=https://web.archive.org/web/20080429174130/http://www.britannica.com/eb/article-9034889/formal-system |url-status=live}}</ref> It includes mathematics,<ref>{{cite book |last=Tomalin |first=Marcus |year=2006 |title=Linguistics and the Formal Sciences}}</ref><ref>{{Cite journal |title=The Formal Sciences: Their Scope, Their Foundations, and Their Unity |journal=Synthese |volume=133 |pages=5–11 |doi=10.1023/a:1020887832028 |year=2002 |last1=Löwe |first1=Benedikt |issue=1/2 |s2cid=9272212}}</ref> [[systems theory]], and [[theoretical computer science]]. The formal sciences share similarities with the other two branches by relying on objective, careful, and systematic study of an area of knowledge. They are, however, different from the empirical sciences as they rely exclusively on deductive reasoning, without the need for empirical evidence, to verify their abstract concepts.<ref name="Fetzer2013"/><ref>{{cite book |first=Thompson |last=Bill |title=The Nature of Statistical Evidence |chapter=2.4 Formal Science and Applied Mathematics |publisher=Springer |series=Lecture Notes in Statistics |volume=189 |year=2007 |page=15}}</ref><ref name="Popper2002" /> The formal sciences are therefore ''[[a priori]]'' disciplines and because of this, there is disagreement on whether they constitute a science.<ref name="Kluwer"/><ref>{{cite book |last1=Bunge |first1=Mario |title=Philosophy of Science: Volume 1, From Problem to Theory |year=1998 |publisher=Routledge |isbn=978-0-7658-0413-6 |edition=revised |volume=1 |location=New York |pages=3–50 |chapter=The Scientific Approach}}</ref> Nevertheless, the formal sciences play an important role in the empirical sciences. [[Calculus]], for example, was initially invented to understand [[motion]] in physics.<ref>{{Cite book |last1=Mujumdar |first1=Anshu Gupta |last2=Singh |first2=Tejinder |year=2016 |chapter=Cognitive science and the connection between physics and mathematics |title=Trick or Truth?: The Mysterious Connection Between Physics and Mathematics |editor-first1=Anthony |editor-last1=Aguirre |editor-first2=Brendan |editor-last2=Foster |series=The Frontiers Collection |pages=201–218 |location=Switzerland |publisher=Springer |isbn=978-3-319-27494-2}}</ref> Natural and social sciences that rely heavily on mathematical applications include [[mathematical physics]],<ref>{{cite web |title=About the Journal |url=http://jmp.aip.org/jmp/staff.jsp |url-status=dead |archive-url=https://web.archive.org/web/20061003233339/http://jmp.aip.org/jmp/staff.jsp |archive-date=3 October 2006 |access-date=3 October 2006 |website=[[Journal of Mathematical Physics]]}}</ref> [[mathematical chemistry|chemistry]],<ref>{{cite book |last=Restrepo |first=G. |chapter=Mathematical chemistry, a new discipline |title=Essays in the philosophy of chemistry |editor-last1=Scerri |editor-first1=E. |editor-last2=Fisher |editor-first2=G. |publisher=Oxford University Press |location=New York |year=2016 |pages=332–351 |isbn=978-0-19-049459-9 |url=https://global.oup.com/academic/product/essays-in-the-philosophy-of-chemistry-9780190494599?cc=de&lang=en& |archive-date=10 June 2021 |access-date=31 May 2022 |archive-url=https://web.archive.org/web/20210610130352/https://global.oup.com/academic/product/essays-in-the-philosophy-of-chemistry-9780190494599?cc=de&lang=en& |url-status=live }}</ref> [[mathematical biology|biology]],<ref>{{Cite web |title=What is mathematical biology |publisher=Centre for Mathematical Biology, University of Bath |url=http://www.bath.ac.uk/cmb/mathBiology/ |url-status=dead |archive-url=https://web.archive.org/web/20180923070442/http://www.bath.ac.uk/cmb/mathBiology/ |archive-date=23 September 2018 |access-date=7 June 2018}}</ref> [[mathematical finance|finance]],<ref>{{cite magazine |last=Johnson |first=Tim |date=1 September 2009 |title=What is financial mathematics? |url=https://plus.maths.org/content/what-financial-mathematics |access-date=1 March 2021 |magazine=+Plus Magazine |archive-date=8 April 2022 |archive-url=https://web.archive.org/web/20220408231344/https://plus.maths.org/content/what-financial-mathematics |url-status=live}}</ref> and [[mathematical economics|economics]].<ref>{{cite book |last=Varian |first=Hal |author-link=Hal Varian |year=1997 |chapter=What Use Is Economic Theory? |editor-last1=D'Autume |editor-first1=A. |editor-last2=Cartelier |editor-first2=J. |title=Is Economics Becoming a Hard Science? |publisher=Edward Elgar}} [http://www.sims.berkeley.edu/~hal/Papers/theory.pdf Pre-publication]. {{Webarchive|url=https://web.archive.org/web/20060625062619/http://www.sims.berkeley.edu/~hal/Papers/theory.pdf |date=25 June 2006 }}. Retrieved 1 April 2008.</ref> === Applied === [[Applied science]] is the use of the [[scientific method]] and knowledge to attain practical goals and includes a broad range of disciplines such as engineering and medicine.<ref>{{Cite journal |last=Abraham |first=Reem Rachel |year=2004 |title=Clinically oriented physiology teaching: strategy for developing critical-thinking skills in undergraduate medical students |journal=Advances in Physiology Education |volume=28 |issue=3 |pages=102–104 |doi=10.1152/advan.00001.2004 |pmid=15319191 |s2cid=21610124}}</ref><ref name="Bunge1966" /> Engineering is the use of scientific principles to invent, design and build machines, structures and technologies.<ref>{{cite dictionary |url=https://dictionary.cambridge.org/dictionary/english/engineering |title=Engineering |dictionary=Cambridge Dictionary |publisher=Cambridge University Press |access-date=25 March 2021 |archive-date=19 August 2019 |archive-url=https://web.archive.org/web/20190819030859/https://dictionary.cambridge.org/dictionary/english/engineering |url-status=live}}</ref> Science may contribute to the development of new technologies.<ref>{{Cite journal |last=Brooks |first=Harvey |date=1 September 1994 |title=The relationship between science and technology |url=https://www.belfercenter.org/sites/default/files/files/publication/sciencetechnology.pdf |journal=Research Policy |series=Special Issue in Honor of Nathan Rosenberg |volume=23 |issue=5 |pages=477–486 |doi=10.1016/0048-7333(94)01001-3 |issn=0048-7333 |access-date=14 October 2022 |archive-date=30 December 2022 |archive-url=https://web.archive.org/web/20221230224402/https://www.belfercenter.org/sites/default/files/files/publication/sciencetechnology.pdf |url-status=live}}</ref> Medicine is the practice of caring for patients by maintaining and restoring health through the [[prevention (medical)|prevention]], [[Medical diagnosis|diagnosis]], and [[therapy|treatment]] of injury or disease.<ref>{{cite book |last=Firth |first=John |title=Oxford textbook of medicine |publisher=Oxford University Press |year=2020 |isbn=978-0-19-874669-0 |chapter=Science in medicine: when, how, and what}}</ref><ref>{{cite journal |last=Saunders |first=J. |date=June 2000 |title=The practice of clinical medicine as an art and as a science |journal=Med Humanit |volume=26 |issue=1 |pages=18–22 |doi=10.1136/mh.26.1.18 |pmid=12484313 |doi-access=free |s2cid=73306806 |pmc=1071282}}</ref> ===Basic === The applied sciences are often contrasted with the [[basic science]]s, which are focused on advancing scientific theories and laws that explain and predict events in the natural world.<ref>{{cite journal |last1=Davis |first1=Bernard D. |date=March 2000 |title=Limited scope of science |journal=Microbiology and Molecular Biology Reviews |volume=64 |issue=1 |pages=1–12 |doi=10.1128/MMBR.64.1.1-12.2000 |pmc=98983 |pmid=10704471 |postscript=none}} & "Technology" in {{cite journal |first=Bernard |last=Davis |author-link1=Bernard Davis (biologist) |date=Mar 2000 |title=The scientist's world |journal=[[Microbiology and Molecular Biology Reviews]] |volume=64 |issue=1 |pages=1–12 |doi=10.1128/MMBR.64.1.1-12.2000 |pmc=98983 |pmid=10704471}}</ref><ref>{{cite journal |first=James |last=McCormick |year=2001 |title=Scientific medicine—fact of fiction? The contribution of science to medicine |journal=Occasional Paper (Royal College of General Practitioners) |pages=3–6 |pmc=2560978 |pmid=19790950 |number=80}}</ref> ===Blue skies === {{Excerpt|Blue skies research|paragraphs=1|only=paragraphs|hat=no}} ===Computational === [[Computational science]] applies [[computer simulations]] to science, enabling a better understanding of scientific problems than formal mathematics alone can achieve. The use of [[machine learning]] and [[artificial intelligence]] is becoming a central feature of computational contributions to science, for example in [[agent-based computational economics]], [[random forest]]s, [[topic model]]ing and various forms of prediction. However, machines alone rarely advance knowledge as they require human guidance and capacity to reason; and they can introduce bias against certain social groups or sometimes underperform against humans.<ref>{{cite journal |last1=Breznau |first1=Nate |year=2022 |title=Integrating Computer Prediction Methods in Social Science: A Comment on Hofman et al. (2021) |journal=Social Science Computer Review |volume=40 |issue=3 |pages=844–853 |doi=10.1177/08944393211049776 |doi-access=free |s2cid=248334446 |url=https://osf.io/adxb3/download |access-date=16 August 2023 |archive-date=29 April 2024 |archive-url=https://web.archive.org/web/20240429040922/https://osf.io/adxb3/download |url-status=live}}</ref><ref>{{Cite journal |last1=Hofman |first1=Jake M. |last2=Watts |first2=Duncan J. |author2-link=Duncan J. Watts |last3=Athey |first3=Susan |author3-link=Susan Athey |last4=Garip |first4=Filiz |last5=Griffiths |first5=Thomas L. |author5-link=Tom Griffiths (cognitive scientist) |last6=Kleinberg |first6=Jon |author6-link=Jon Kleinberg |last7=Margetts |first7=Helen |author7-link=Helen Margetts |last8=Mullainathan |first8=Sendhil |author8-link=Sendhil Mullainathan |last9=Salganik |first9=Matthew J. |author9-link=Matthew J. Salganik |last10=Vazire |first10=Simine |author10-link=Simine Vazire |last11=Vespignani |first11=Alessandro |author11-link=Alessandro Vespignani |date=July 2021 |title=Integrating explanation and prediction in computational social science |url=https://www.nature.com/articles/s41586-021-03659-0 |url-status=live |journal=Nature |volume=595 |issue=7866 |pages=181–188 |bibcode=2021Natur.595..181H |doi=10.1038/s41586-021-03659-0 |issn=1476-4687 |pmid=34194044 |archive-url=https://web.archive.org/web/20210925074416/https://www.nature.com/articles/s41586-021-03659-0 |archive-date=25 September 2021 |access-date=25 September 2021 |s2cid=235697917}}</ref> === Interdisciplinary === [[Interdisciplinary science]] involves the combination of two or more disciplines into one,<ref>{{cite journal |last=Nissani |first=M. |year=1995 |title=Fruits, Salads, and Smoothies: A Working definition of Interdisciplinarity |journal=The Journal of Educational Thought |volume=29 |issue=2 |pages=121–128 |doi=10.55016/ojs/jet.v29i2.52385 |jstor=23767672}}</ref> such as [[bioinformatics]], a combination of biology and computer science<ref>{{cite book |url=https://archive.org/details/digitalcodeoflif0000mood |title=Digital Code of Life: How Bioinformatics is Revolutionizing Science, Medicine, and Business |last=Moody |first=G. |year=2004 |isbn=978-0-471-32788-2 |url-access=registration |page=vii |publisher=John Wiley & Sons}}</ref> or [[cognitive science]]s. The concept has existed since the ancient Greek period and it became popular again in the 20th century.<ref>{{cite book |last=Ausburg |first=Tanya |title=Becoming Interdisciplinary: An Introduction to Interdisciplinary Studies |publisher=Kendall/Hunt Publishing |year=2006 |edition=2nd |location=New York}}</ref>
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