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Merton contrasted a "multiple" with a "singleton"—a discovery that has been made uniquely by a single scientist or group of scientists working together.<ref>[[Robert K. Merton]], ''On Social Structure and Science'', p. 307.</ref>
Merton contrasted a "multiple" with a "singleton"—a discovery that has been made uniquely by a single scientist or group of scientists working together.<ref>[[Robert K. Merton]], ''On Social Structure and Science'', p. 307.</ref>

The distinction may blur as science becomes increasingly collaborative.<ref>[[Sarah Lewin Frasier]] and [[Jen Christiansen]], "Nobel Connections: A deep dive into science's greatest prize", ''[[Scientific American]]'', vol. 331, no. 3 (October 2024), pp. 72–73.</ref>


A distinction is drawn between a [[Discovery (observation)|discovery]] and an [[invention]], as discussed for example by [[Logology (science of science)#Discoveries and inventions|Bolesław Prus]].<ref>[[Bolesław Prus]], ''O odkryciach i wynalazkach'' ([[s:On Discoveries and Inventions|On Discoveries and Inventions]]): A Public Lecture Delivered on 23 March 1873 by Aleksander Głowacki [Bolesław Prus], Passed by the [Russian] Censor (Warsaw, 21 April 1873), Warsaw, Printed by F. Krokoszyńska, 1873, p. 12.</ref> However, discoveries and inventions are inextricably related, in that discoveries lead to inventions, and inventions facilitate discoveries; and since the same phenomenon of [[multiple discovery|multiplicity]] occurs in relation to both discoveries and inventions, this article lists both multiple discoveries and multiple ''inventions''.
A distinction is drawn between a [[Discovery (observation)|discovery]] and an [[invention]], as discussed for example by [[Logology (science of science)#Discoveries and inventions|Bolesław Prus]].<ref>[[Bolesław Prus]], ''O odkryciach i wynalazkach'' ([[s:On Discoveries and Inventions|On Discoveries and Inventions]]): A Public Lecture Delivered on 23 March 1873 by Aleksander Głowacki [Bolesław Prus], Passed by the [Russian] Censor (Warsaw, 21 April 1873), Warsaw, Printed by F. Krokoszyńska, 1873, p. 12.</ref> However, discoveries and inventions are inextricably related, in that discoveries lead to inventions, and inventions facilitate discoveries; and since the same phenomenon of [[multiple discovery|multiplicity]] occurs in relation to both discoveries and inventions, this article lists both multiple discoveries and multiple ''inventions''.
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* 1520: [[Scipione dal Ferro]] (1520) and [[Niccolò Tartaglia]] (1535) independently developed a method for solving [[Cubic equation#Cardano's method|cubic equations]].
* 1520: [[Scipione dal Ferro]] (1520) and [[Niccolò Tartaglia]] (1535) independently developed a method for solving [[Cubic equation#Cardano's method|cubic equations]].
* [[Olbers' paradox]] (the "dark-night-sky paradox") was described by [[Thomas Digges]] in the 16th century, by [[Johannes Kepler]] in the 17th century (1610), by [[Edmond Halley]] and by [[Jean-Philippe de Chéseaux]] in the 18th century, by [[Heinrich Wilhelm Matthias Olbers]] in the 19th century (1823), and definitively by [[William Thomson, 1st Baron Kelvin|Lord Kelvin]] in the 20th century (1901); some aspects of Kelvin's argument had been anticipated in the poet and short-story writer [[Edgar Allan Poe]]'s essay, ''[[Eureka: A Prose Poem]]'' (1848), which also presaged by three-quarters of a century the [[Big Bang]] theory of the [[universe]].<ref name="auto">{{cite journal |last=Cappi |first=Alberto |date=1994 |title=Edgar Allan Poe's Physical Cosmology |journal=Quarterly Journal of the Royal Astronomical Society |volume=35 |pages=177–192 |bibcode=1994QJRAS..35..177C}}</ref><ref>* {{cite journal |last=Rombeck |first=Terry |date=22 January 2005 |title=Poe's little-known science book reprinted |journal=Lawrence Journal-World & News |url= http://www2.ljworld.com/news/2005/jan/22/poes_littleknown_science/}}</ref><ref>[[Marilynne Robinson]], "On Edgar Allan Poe", ''[[The New York Review of Books]]'', vol. LXII, no. 2 (5 February 2015), pp. 4, 6.</ref>
* [[Olbers' paradox]] (the "dark-night-sky paradox") was described by [[Thomas Digges]] in the 16th century, by [[Johannes Kepler]] in the 17th century (1610), by [[Edmond Halley]] and by [[Jean-Philippe de Chéseaux]] in the 18th century, by [[Heinrich Wilhelm Matthias Olbers]] in the 19th century (1823), and definitively by [[William Thomson, 1st Baron Kelvin|Lord Kelvin]] in the 20th century (1901); some aspects of Kelvin's argument had been anticipated in the poet and short-story writer [[Edgar Allan Poe]]'s essay, ''[[Eureka: A Prose Poem]]'' (1848), which also presaged by three-quarters of a century the [[Big Bang]] theory of the [[universe]].<ref name="auto">{{cite journal |last=Cappi |first=Alberto |date=1994 |title=Edgar Allan Poe's Physical Cosmology |journal=Quarterly Journal of the Royal Astronomical Society |volume=35 |pages=177–192 |bibcode=1994QJRAS..35..177C}}</ref><ref>* {{cite journal |last=Rombeck |first=Terry |date=22 January 2005 |title=Poe's little-known science book reprinted |journal=Lawrence Journal-World & News |url= http://www2.ljworld.com/news/2005/jan/22/poes_littleknown_science/}}</ref><ref>[[Marilynne Robinson]], "On Edgar Allan Poe", ''[[The New York Review of Books]]'', vol. LXII, no. 2 (5 February 2015), pp. 4, 6.</ref>
* 1596: [[Continental drift]], in varying independent [[iteration]]s, was proposed by [[Abraham Ortelius]] {{Harv|Ortelius|1596}},<ref>{{Citation |last=Romm |first=James |title=A New Forerunner for Continental Drift |journal=Nature |date=3 February 1994 |volume=367 |pages=407–408 |doi=10.1038/367407a0 |postscript=. |issue=6462 |bibcode=1994Natur.367..407R |s2cid=4281585}}</ref> Theodor Christoph Lilienthal (1756),<ref name=schmeling2004>{{Cite web |first=Harro |last=Schmeling |url= http://www.geophysik.uni-frankfurt.de/~schmelin/skripte/Geodynn1-kap1-2-S1-S22-2004.pdf |title=Geodynamik |date=2004 |publisher=University of Frankfurt |language=de}}</ref> [[Alexander von Humboldt]] (1801 and 1845),<ref name=schmeling2004 /> [[Antonio Snider-Pellegrini]] {{Harv|Snider-Pellegrini|1858}}, [[Alfred Russel Wallace]],<ref>{{citation |first=Alfred Russel |last=Wallace |title=Darwinism ... |date=1889 |chapter=12 |publisher=Macmillan |page=341 |chapter-url= https://books.google.com/books?id=0S4aAAAAYAAJ&pg=PA341}}</ref> [[Charles Lyell]],<ref>{{citation |first=Charles |last=Lyell |title=Principles of Geology ... |date=1872 |edition=11th |publisher=John Murray |page=258 |url= https://archive.org/stream/principlesgeolo41lyelgoog#page/n287/mode/1up/}}</ref> Franklin Coxworthy (between 1848 and 1890),<ref>{{cite book |last1=Coxworthy |first1=Franklin |title=Electrical Condition; Or, How and where Our Earth was Created |date=1924 |publisher=J. S. Phillips |url= https://books.google.com/books?id=STj7PAAACAAJ |access-date=6 December 2014}}</ref> [[Roberto Mantovani]] (between 1889 and 1909), [[William Henry Pickering]] (1907),<ref>{{Citation |last=Pickering |first=W. H |title=The Place of Origin of the Moon – The Volcani Problems |journal=Popular Astronomy |volume=15 |pages=274–287 |date=1907 |bibcode=1907PA.....15..274P}},</ref> [[Frank Bursley Taylor]] (1908),<ref>{{cite journal |first=Frank |last=Bursley Taylor |date=3 June 1910 |url= http://babel.hathitrust.org/cgi/pt?id=njp.32101080758822;view=1up;seq=207 |title=Bearing of the Tertiary mountain belt on the origin of the earth’s plan |journal=Bulletin of the Geological Society of America |volume=21 |pages=179–226}}</ref> and [[Alfred Wegener]] (1912).<ref name=weg>{{Citation |last=Wegener |first=Alfred |date=6 January 1912 |title=Die Herausbildung der Grossformen der Erdrinde (Kontinente und Ozeane), auf geophysikalischer Grundlage |journal=Petermanns Geographische Mitteilungen |volume=63 |pages=185–195, 253–256, 305–309 |url= http://epic.awi.de/Publications/Polarforsch2005_1_3.pdf |postscript=. |url-status=dead |archive-url= https://web.archive.org/web/20111004001150/http://epic.awi.de/Publications/Polarforsch2005_1_3.pdf |archive-date=4 October 2011}}</ref> In addition, in 1885 [[Eduard Suess]] had proposed a supercontinent [[Gondwana]]<ref>Eduard Suess, ''Das Antlitz der Erde'' (The Face of the Earth), vol. 1 (Leipzig, (Germany): G. Freytag, 1885), [http://babel.hathitrust.org/cgi/pt?id=mdp.39015048893047;view=1up;seq=792 page 768.] From p. 768: ''"Wir nennen es Gondwána-Land, nach der gemeinsamen alten Gondwána-Flora, … "'' (We name it Gondwána-Land, after the common ancient flora of Gondwána ... )</ref> and in 1893 the [[Tethys Ocean]],<ref>{{cite journal |first=Edward |last=Suess |date=March 1893 |url= https://books.google.com/books?id=yQUVAAAAYAAJ&pg=PA180 |via=Google Books |title=Are ocean depths permanent? |journal=Natural Science: A Monthly Review of Scientific Progress |volume=2 |pages=180–187 |quote=This ocean we designate by the name 'Tethys', after the sister and consort of Oceanus. The latest successor of the Tethyan Sea is the present Mediterranean.}}</ref> assuming a [[Land bridge#Land bridge theory|land-bridge]] between the present continents submerged in the form of a [[geosyncline]]; and in 1895 [[John Perry (engineer)|John Perry]] had written a paper proposing that the earth's interior was fluid, and disagreeing with [[Lord Kelvin]] on the age of the earth.<ref>{{cite journal |last=Perry |first=John |date=1895 |title=On the age of the earth |journal=[[Nature (journal)|Nature]] |volume=51 |url= http://babel.hathitrust.org/cgi/pt?id=mdp.39015038750868;view=1up;seq=266 |via=Hathi Trust |pages=224–227, 341–342, 582–585}}</ref>
* 1596: [[Continental drift]], in varying independent [[iteration]]s, was proposed by [[Abraham Ortelius]] {{Harv|Ortelius|1596}},<ref>{{Citation |last=Romm |first=James |title=A New Forerunner for Continental Drift |journal=Nature |date=3 February 1994 |volume=367 |pages=407–408 |doi=10.1038/367407a0 |postscript=. |issue=6462 |bibcode=1994Natur.367..407R |s2cid=4281585}}</ref> Theodor Christoph Lilienthal (1756),<ref name=schmeling2004>{{Cite web |first=Harro |last=Schmeling |url= http://www.geophysik.uni-frankfurt.de/~schmelin/skripte/Geodynn1-kap1-2-S1-S22-2004.pdf |title=Geodynamik |date=2004 |publisher=University of Frankfurt |language=de}}</ref> [[Alexander von Humboldt]] (1801 and 1845),<ref name=schmeling2004 /> [[Antonio Snider-Pellegrini]] {{Harv|Snider-Pellegrini|1858}}, [[Alfred Russel Wallace]],<ref>{{citation |first=Alfred Russel |last=Wallace |title=Darwinism ... |date=1889 |chapter=12 |publisher=Macmillan |page=341 |chapter-url= https://books.google.com/books?id=0S4aAAAAYAAJ&pg=PA341}}</ref> [[Charles Lyell]],<ref>{{citation |first=Charles |last=Lyell |title=Principles of Geology ... |date=1872 |edition=11th |publisher=John Murray |page=258 |url= https://archive.org/stream/principlesgeolo41lyelgoog#page/n287/mode/1up/}}</ref> Franklin Coxworthy (between 1848 and 1890),<ref>{{cite book |last1=Coxworthy |first1=Franklin |title=Electrical Condition; Or, How and where Our Earth was Created |date=1924 |publisher=J. S. Phillips |url= https://books.google.com/books?id=STj7PAAACAAJ |access-date=6 December 2014}}</ref> [[Roberto Mantovani]] (between 1889 and 1909), [[William Henry Pickering]] (1907),<ref>{{Citation |last=Pickering |first=W. H |title=The Place of Origin of the Moon – The Volcani Problems |journal=Popular Astronomy |volume=15 |pages=274–287 |date=1907 |bibcode=1907PA.....15..274P}},</ref> [[Frank Bursley Taylor]] (1908),<ref>{{cite journal |first=Frank |last=Bursley Taylor |date=3 June 1910 |url= http://babel.hathitrust.org/cgi/pt?id=njp.32101080758822;view=1up;seq=207 |title=Bearing of the Tertiary mountain belt on the origin of the earth's plan |journal=Bulletin of the Geological Society of America |volume=21 |issue=1 |pages=179–226|doi=10.1130/GSAB-21-179 |bibcode=1910GSAB...21..179T }}</ref> and [[Alfred Wegener]] (1912).<ref name=weg>{{Citation |last=Wegener |first=Alfred |date=6 January 1912 |title=Die Herausbildung der Grossformen der Erdrinde (Kontinente und Ozeane), auf geophysikalischer Grundlage |journal=Petermanns Geographische Mitteilungen |volume=63 |pages=185–195, 253–256, 305–309 |url= http://epic.awi.de/Publications/Polarforsch2005_1_3.pdf |postscript=. |url-status=dead |archive-url= https://web.archive.org/web/20111004001150/http://epic.awi.de/Publications/Polarforsch2005_1_3.pdf |archive-date=4 October 2011}}</ref> In addition, in 1885 [[Eduard Suess]] had proposed a supercontinent [[Gondwana]]<ref>Eduard Suess, ''Das Antlitz der Erde'' (The Face of the Earth), vol. 1 (Leipzig, (Germany): G. Freytag, 1885), [http://babel.hathitrust.org/cgi/pt?id=mdp.39015048893047;view=1up;seq=792 page 768.] From p. 768: ''"Wir nennen es Gondwána-Land, nach der gemeinsamen alten Gondwána-Flora, … "'' (We name it Gondwána-Land, after the common ancient flora of Gondwána ... )</ref> and in 1893 the [[Tethys Ocean]],<ref>{{cite journal |first=Edward |last=Suess |date=March 1893 |url= https://books.google.com/books?id=yQUVAAAAYAAJ&pg=PA180 |via=Google Books |title=Are ocean depths permanent? |journal=Natural Science: A Monthly Review of Scientific Progress |volume=2 |pages=180–187 |quote=This ocean we designate by the name 'Tethys', after the sister and consort of Oceanus. The latest successor of the Tethyan Sea is the present Mediterranean.}}</ref> assuming a [[Land bridge#Land bridge theory|land-bridge]] between the present continents submerged in the form of a [[geosyncline]]; and in 1895 [[John Perry (engineer)|John Perry]] had written a paper proposing that the Earth's interior was fluid, and disagreeing with [[Lord Kelvin]] on the age of the Earth.<ref>{{cite journal |last=Perry |first=John |date=1895 |title=On the age of the earth |journal=[[Nature (journal)|Nature]] |volume=51 |url= http://babel.hathitrust.org/cgi/pt?id=mdp.39015038750868;view=1up;seq=266 |via=Hathi Trust |pages=224–227, 341–342, 582–585}}</ref>


== 17th century ==
== 17th century ==
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* 1749: [[Lightning rod]]{{spaced ndash}}[[Benjamin Franklin]] (1749) and [[Prokop Diviš]] (1754) (debated: Diviš's apparatus is assumed to have been more effective than Franklin's lightning rods in 1754, but was intended for a different purpose than lightning protection).
* 1749: [[Lightning rod]]{{spaced ndash}}[[Benjamin Franklin]] (1749) and [[Prokop Diviš]] (1754) (debated: Diviš's apparatus is assumed to have been more effective than Franklin's lightning rods in 1754, but was intended for a different purpose than lightning protection).
* 1756: [[Law of conservation of matter]]{{spaced ndash}}discovered by [[Mikhail Lomonosov]], 1756;<ref>Vladimir D. Shiltsev, "Nov. 19, 1771: Birth of Mikhail Lomonosov, Russia's first modern scientist", ''APS [American Physical Society] News'', November 2011 (vol. 20, no. 10) [https://www.aps.org/publications/apsnews/201111/physicshistory.cfm].</ref> and independently by [[Antoine Lavoisier]], 1778.<ref>Anirudh, "10 Major Contributions of Antoine Lavoisier", 17 October 2017 [https://learnodo-newtonic.com/antoine-lavoisier-contributions].</ref>
* 1756: [[Law of conservation of matter]]{{spaced ndash}}discovered by [[Mikhail Lomonosov]], 1756;<ref>Vladimir D. Shiltsev, "Nov. 19, 1771: Birth of Mikhail Lomonosov, Russia's first modern scientist", ''APS [American Physical Society] News'', November 2011 (vol. 20, no. 10) [https://www.aps.org/publications/apsnews/201111/physicshistory.cfm].</ref> and independently by [[Antoine Lavoisier]], 1778.<ref>Anirudh, "10 Major Contributions of Antoine Lavoisier", 17 October 2017 [https://learnodo-newtonic.com/antoine-lavoisier-contributions].</ref>
* 1773: [[Oxygen]]{{spaced ndash}}[[Carl Wilhelm Scheele]] ([[Uppsala]], 1773), [[Joseph Priestley]] ([[Wiltshire]], 1774). The term was coined by [[Antoine Lavoisier]] (1777). [[Michael Sendivogius]] ({{lang-pl|Michał Sędziwój}}; 1566–1636) is claimed as an earlier discoverer of oxygen.<ref>{{Cite web |url= http://www.masonic.benemerito.net/msricf/papers/marples/marples-michael.sendivogius.pdf |title=MICHAEL SENDIVOGIUS, ROSICRUCIAN, and FATHER OF STUDIES OF OXYGEN}}</ref>
* 1773: [[Oxygen]]{{spaced ndash}}[[Carl Wilhelm Scheele]] ([[Uppsala]], 1773), [[Joseph Priestley]] ([[Wiltshire]], 1774). The term was coined by [[Antoine Lavoisier]] (1777). [[Michael Sendivogius]] ({{langx|pl|Michał Sędziwój}}; 1566–1636) is claimed as an earlier discoverer of oxygen.<ref>{{Cite web |url= http://www.masonic.benemerito.net/msricf/papers/marples/marples-michael.sendivogius.pdf |title=MICHAEL SENDIVOGIUS, ROSICRUCIAN, and FATHER OF STUDIES OF OXYGEN}}</ref>
* 1783: [[Black hole|Black-hole]] theory{{spaced ndash}}[[John Michell]], in a 1783 paper in ''[[The Philosophical Transactions of the Royal Society]]'', wrote: "If the semi-diameter of a sphere of the same density as the Sun in the proportion of five hundred to one, and by supposing light to be attracted by the same force in proportion to its [mass] with other bodies, all light emitted from such a body would be made to return towards it, by its own proper gravity."<ref>[http://www.astronomyedinburgh.org/publications/journals/39/blackholes.html Alan Ellis, "Black Holes{{spaced ndash}}Part 1{{spaced ndash}}History", Astronomical Society of Edinburgh, Journal 39, 1999] {{Webarchive|url= https://web.archive.org/web/20171006004950/http://www.astronomyedinburgh.org/publications/journals/39/blackholes.html |date=6 October 2017}}. A description of Michell's theory of black holes.</ref> A few years later, a similar idea was suggested independently by [[Pierre-Simon Laplace]].<ref name="Time, Bantam 1996, pp. 43–45">[[Stephen Hawking]], ''A Brief History of Time'', Bantam, 1996, pp. 43–45.</ref>
* 1783: [[Black hole|Black-hole]] theory{{spaced ndash}}[[John Michell]], in a 1783 paper in ''[[The Philosophical Transactions of the Royal Society]]'', wrote: "If the semi-diameter of a sphere of the same density as the Sun in the proportion of five hundred to one, and by supposing light to be attracted by the same force in proportion to its [mass] with other bodies, all light emitted from such a body would be made to return towards it, by its own proper gravity."<ref>[http://www.astronomyedinburgh.org/publications/journals/39/blackholes.html Alan Ellis, "Black Holes{{spaced ndash}}Part 1{{spaced ndash}}History", Astronomical Society of Edinburgh, Journal 39, 1999] {{Webarchive|url= https://web.archive.org/web/20171006004950/http://www.astronomyedinburgh.org/publications/journals/39/blackholes.html |date=6 October 2017}}. A description of Michell's theory of black holes.</ref> A few years later, a similar idea was suggested independently by [[Pierre-Simon Laplace]].<ref name="Time, Bantam 1996, pp. 43–45">[[Stephen Hawking]], ''A Brief History of Time'', Bantam, 1996, pp. 43–45.</ref>
* 1798: [[Malthusian catastrophe]]{{spaced ndash}}[[Thomas Robert Malthus]] (1798), [[Hong Liangji]] (1793).<ref>"Hong's essential insight is the same as Malthus's". [[Wm Theodore de Bary]], ''Sources of East Asian Tradition'', vol. 2: ''The Modern Period'', New York, Columbia University Press, 2008, p. 85.</ref>
* 1798: [[Malthusian catastrophe]]{{spaced ndash}}[[Thomas Robert Malthus]] (1798), [[Hong Liangji]] (1793).<ref>"Hong's essential insight is the same as Malthus's". [[Wm Theodore de Bary]], ''Sources of East Asian Tradition'', vol. 2: ''The Modern Period'', New York, Columbia University Press, 2008, p. 85.</ref>
* A method for measuring the [[specific heat]] of a solid{{spaced ndash}}devised independently by [[Benjamin Thompson]], Count Rumford; and by [[Johan Wilcke]], who published his discovery first (apparently not later than 1796, when he died).
* A method for measuring the [[specific heat]] of a solid{{spaced ndash}}devised independently by [[Benjamin Thompson]], Count Rumford; and by [[Johan Wilcke]], who published his discovery first (apparently not later than 1796, when he died).
* 1799: [[Complex plane]]{{spaced ndash}}Geometrical representation of complex numbers was discovered independently by [[Caspar Wessel]] (1799), [[Jean-Robert Argand]] (1806), [[John Warren (mathematician)|John Warren]] (1828), and [[Carl Friedrich Gauss]] (1831).<ref>[[Roger Penrose]], ''The Road to Reality'', Vintage Books, 2005, p. 81.</ref>


== 19th century ==
== 19th century ==
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[[File:Dimitri Mendelejew.jpg|thumb|upright=.5|[[Dmitri Ivanovich Mendeleev|Mendeleyev]]]]
[[File:Dimitri Mendelejew.jpg|thumb|upright=.5|[[Dmitri Ivanovich Mendeleev|Mendeleyev]]]]
[[File:Alexander Graham Bell1.jpg|thumb|upright=.5|[[Alexander Graham Bell|Bell]]]]
[[File:Alexander Graham Bell1.jpg|thumb|upright=.5|[[Alexander Graham Bell|Bell]]]]
[[File:Cajal-Restored.jpg|thumb|upright=.7|[[Santiago Ramón y Cajal|Ramón y Cajal]]]]
[[File:Santiago Ramón y Cajal (1852-1934) portrait (restored).jpg|thumb|upright=.7|[[Santiago Ramón y Cajal|Ramón y Cajal]]]]
[[File:Napoleon Nikodem Cybulski.jpeg|thumb|upright|[[Napoleon Cybulski|Cybulski]]]]
[[File:Napoleon Nikodem Cybulski.jpeg|thumb|upright|[[Napoleon Cybulski|Cybulski]]]]
[[File:Paul Nadar - Henri Becquerel.jpg|thumb|upright=.7|[[Henri Becquerel|Becquerel]]]]
[[File:Paul Nadar - Henri Becquerel.jpg|thumb|upright=.7|[[Henri Becquerel|Becquerel]]]]
* 1805: In a treatise<ref>[[Carl Friedrich Gauss|Gauss, Carl Friedrich]], ''"Nachlass: Theoria interpolationis methodo nova tractata", Werke, Band 3'', Göttingen, Königliche Gesellschaft der Wissenschaften, 1866, pp. 265–327.</ref> written in 1805 and published in 1866, [[Carl Friedrich Gauss]] describes an efficient algorithm to compute the [[discrete Fourier transform]]. [[James W. Cooley]] and [[John Tukey|John W. Tukey]] reinvented a similar algorithm in 1965.<ref>Heideman, M. T., D. H. Johnson, and C. S. Burrus, "Gauss and the history of the fast Fourier transform", ''Archive for History of Exact Sciences'', vol. 34, no. 3 (1985), pp. 265–277.</ref>
* 1805: In a treatise<ref>[[Carl Friedrich Gauss|Gauss, Carl Friedrich]], ''"Nachlass: Theoria interpolationis methodo nova tractata", Werke, Band 3'', Göttingen, Königliche Gesellschaft der Wissenschaften, 1866, pp. 265–327.</ref> written in 1805 and published in 1866, [[Carl Friedrich Gauss]] describes an efficient algorithm to compute the [[discrete Fourier transform]]. [[James W. Cooley]] and [[John Tukey|John W. Tukey]] reinvented a similar algorithm in 1965.<ref>Heideman, M. T., D. H. Johnson, and C. S. Burrus, "Gauss and the history of the fast Fourier transform", ''Archive for History of Exact Sciences'', vol. 34, no. 3 (1985), pp. 265–277.</ref>
* 1799: [[Complex plane]]{{spaced ndash}}Geometrical representation of complex numbers was discovered independently by [[Caspar Wessel]] (1799), [[Jean-Robert Argand]] (1806), [[John Warren (mathematician)|John Warren]] (1828), and [[Carl Friedrich Gauss]] (1831).<ref>[[Roger Penrose]], ''The Road to Reality'', Vintage Books, 2005, p. 81.</ref>
* 1817: [[Cadmium]]{{spaced ndash}}[[Friedrich Strohmeyer]], [[Karl Samuel Leberecht Hermann|K.S.L Hermann]] (both in 1817).
* 1817: [[Cadmium]]{{spaced ndash}}[[Friedrich Strohmeyer]], [[Karl Samuel Leberecht Hermann|K.S.L Hermann]] (both in 1817).
* 1817: [[Photoelectrochemical processes#Grotthuss–Draper law|Grotthuss–Draper law]] (aka the Principle of Photochemical Activation){{spaced ndash}}first proposed in 1817 by [[Theodor Grotthuss]], then independently, in 1842, by [[John William Draper]]. The law states that only that light which is absorbed by a system can bring about a photochemical change.
* 1817: [[Photoelectrochemical processes#Grotthuss–Draper law|Grotthuss–Draper law]] (aka the Principle of Photochemical Activation){{spaced ndash}}first proposed in 1817 by [[Theodor Grotthuss]], then independently, in 1842, by [[John William Draper]]. The law states that only that light which is absorbed by a system can bring about a photochemical change.
* 1828: [[Beryllium]]{{spaced ndash}}[[Friedrich Woehler|Friedrich Wöhler]], [[A.A.B. Bussy]] (1828).
* 1828: [[Beryllium]]{{spaced ndash}}[[Friedrich Woehler|Friedrich Wöhler]], [[A.A.B. Bussy]] (1828).
* 1830: Non-Euclidean geometry ([[hyperbolic geometry]]){{spaced ndash}}[[Nikolai Ivanovich Lobachevsky]] (1830), [[János Bolyai]] (1832); preceded by [[Gauss]] (unpublished result) c. 1805.
* 1831: [[Electromagnetic induction]] was discovered by [[Michael Faraday]] in England in 1831, and independently about the same time by [[Joseph Henry]] in the U.S.<ref>Halliday ''et al.'', ''Physics'', vol. 2, 2002, p. 775.</ref>
* 1831: [[Electromagnetic induction]] was discovered by [[Michael Faraday]] in England in 1831, and independently about the same time by [[Joseph Henry]] in the U.S.<ref>Halliday ''et al.'', ''Physics'', vol. 2, 2002, p. 775.</ref>
* 1831: [[Chloroform]]{{spaced ndash}}[[Samuel Guthrie (United States physician)|Samuel Guthrie]] in the United States (July 1831), and a few months later [[Eugène Soubeiran]] (France) and [[Justus von Liebig]] (Germany), all of them using variations of the [[haloform reaction]].
* 1831: [[Chloroform]]{{spaced ndash}}[[Samuel Guthrie (United States physician)|Samuel Guthrie]] in the United States (July 1831), and a few months later [[Eugène Soubeiran]] (France) and [[Justus von Liebig]] (Germany), all of them using variations of the [[haloform reaction]].
* 1830: Non-Euclidean geometry ([[hyperbolic geometry]]){{spaced ndash}}[[Nikolai Ivanovich Lobachevsky]] (1830), [[János Bolyai]] (1832); preceded by [[Gauss]] (unpublished result) c. 1805.
* [[Dandelin–Gräffe method]], [[List of acronyms and initialisms: A#AK|aka]] Lobachevsky method{{spaced ndash}}an [[algorithm]] for finding multiple roots of a [[polynomial]], developed independently by [[Germinal Pierre Dandelin]], [[Karl Heinrich Gräffe]], and [[Nikolai Ivanovich Lobachevsky]].
* [[Dandelin–Gräffe method]], [[List of acronyms and initialisms: A#AK|aka]] Lobachevsky method{{spaced ndash}}an [[algorithm]] for finding multiple roots of a [[polynomial]], developed independently by [[Germinal Pierre Dandelin]], [[Karl Heinrich Gräffe]], and [[Nikolai Ivanovich Lobachevsky]].
* 1837: [[Electrical telegraph]]{{spaced ndash}}[[Charles Wheatstone]] (England, 1837), [[Samuel F.B. Morse]] (United States, 1837).
* 1837: [[Electrical telegraph]]{{spaced ndash}}[[Charles Wheatstone]] (England, 1837), [[Samuel F.B. Morse]] (United States, 1837).
* [[First law of thermodynamics]]{{spaced ndash}}In the late 19th century, various scientists independently stated that energy and matter are persistent, although this was later to be disregarded under subatomic conditions. [[Hess's Law]] ([[Germain Hess]]), [[Julius Robert von Mayer]], and [[James Joule]] were some of the first.
* [[First law of thermodynamics]]{{spaced ndash}}In the late 19th century, various scientists independently stated that energy and matter are persistent, although this was later to be disregarded under subatomic conditions. [[Hess's law]] ([[Germain Hess]]), [[Julius Robert von Mayer]], and [[James Joule]] were some of the first.
* 1846: [[Urbain Le Verrier]] and [[John Couch Adams]], studying [[Uranus]]'s orbit, independently proved that another, farther planet must exist. [[Neptune]] was found at the predicted moment and position.<ref name="Natarajan; Stern & Grinspoon; Morton">[[Priyamvada Natarajan]], "In Search of Planet X" (review of [[Dale P. Cruikshank]] and William Sheehan, ''Discovering Pluto: Exploration at the Edge of the Solar System'', University of Arizona Press, 475 pp.; [[Alan Stern]] and [[David Grinspoon]], ''[[Chasing New Horizons]]: Inside the Epic First Mission to Pluto'', Picador, 295 pp.; and [[Adam Morton]], ''Should We Colonize Other Planets?'', Polity, 122 pp.), ''[[The New York Review of Books]]'', vol. LXVI, no. 16 (24 October 2019), pp. 39–41. (p. 39.)</ref>{{efn|[[Priyamvada Natarajan]] notes that, while Le Verrier and Adams "shared credit for the discovery [of [[Neptune]]] until fairly recently&nbsp;... historians of science [have] revealed that while Adams did perform some interesting calculations, his were not as precise or as accurate as Le Verrier's, and, moreover, he had not published his work, while Le Verrier had shared his predictions." Le Verrier "presented the calculated position of th[e] unseen planet [Neptune] to the [[French Academy of Sciences]] in Paris on August 31, 1846, barely two days before Adams mailed his own solution to the [[astronomer royal]], [[George Airy]], at the [[Greenwich Observatory]] so that his calculations could be checked. Neither Adams nor Le Verrier knew that the other had been researching [[Uranus]]'s orbit." Natarajan also notes that, "Though [[Neptune]] wasn't properly identified until 1846, it had been observed much earlier.": by [[Galileo Galilei]] (1612, 1613); by Michel Lalande (8 and 10 May 1795), nephew and pupil of French astronomer [[Joseph-Jérôme Lalande]]; by Scottish astronomer John Lambert, while working at the Munich Observatory in 1845 and 1846; and by [[James Challis]] (4 and 12 August 1846).<ref name="Natarajan; Stern & Grinspoon; Morton" />}}
* 1846: [[Urbain Le Verrier]] and [[John Couch Adams]], studying [[Uranus]]'s orbit, independently proved that another, farther planet must exist. [[Neptune]] was found at the predicted moment and position.<ref name="Natarajan; Stern & Grinspoon; Morton">[[Priyamvada Natarajan]], "In Search of Planet X" (review of [[Dale P. Cruikshank]] and William Sheehan, ''Discovering Pluto: Exploration at the Edge of the Solar System'', University of Arizona Press, 475 pp.; [[Alan Stern]] and [[David Grinspoon]], ''[[Chasing New Horizons]]: Inside the Epic First Mission to Pluto'', Picador, 295 pp.; and [[Adam Morton]], ''Should We Colonize Other Planets?'', Polity, 122 pp.), ''[[The New York Review of Books]]'', vol. LXVI, no. 16 (24 October 2019), pp. 39–41. (p. 39.)</ref>{{efn|[[Priyamvada Natarajan]] notes that, while Le Verrier and Adams "shared credit for the discovery [of [[Neptune]]] until fairly recently&nbsp;... historians of science [have] revealed that while Adams did perform some interesting calculations, his were not as precise or as accurate as Le Verrier's, and, moreover, he had not published his work, while Le Verrier had shared his predictions." Le Verrier "presented the calculated position of th[e] unseen planet [Neptune] to the [[French Academy of Sciences]] in Paris on August 31, 1846, barely two days before Adams mailed his own solution to the [[astronomer royal]], [[George Airy]], at the [[Greenwich Observatory]] so that his calculations could be checked. Neither Adams nor Le Verrier knew that the other had been researching [[Uranus]]'s orbit." Natarajan also notes that, "Though [[Neptune]] wasn't properly identified until 1846, it had been observed much earlier.": by [[Galileo Galilei]] (1612, 1613); by Michel Lalande (8 and 10 May 1795), nephew and pupil of French astronomer [[Joseph-Jérôme Lalande]]; by Scottish astronomer John Lambert, while working at the Munich Observatory in 1845 and 1846; and by [[James Challis]] (4 and 12 August 1846).<ref name="Natarajan; Stern & Grinspoon; Morton" />}}
* 1851: [[Bessemer Process]]{{spaced ndash}}The process of removing impurities from steel on an industrial level using oxidation, developed in 1851 by American [[William Kelly (inventor)|William Kelly]] and independently developed and patented in 1855 by eponymous Englishman [[Henry Bessemer|Sir Henry Bessemer]].
* 1851: [[Bessemer Process]]{{spaced ndash}}The process of removing impurities from steel on an industrial level using oxidation, developed in 1851 by American [[William Kelly (inventor)|William Kelly]] and independently developed and patented in 1855 by eponymous Englishman [[Henry Bessemer|Sir Henry Bessemer]].
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[[File:Thomas Robert Cech.jpg|thumb|upright=.6|[[Thomas Cech|Cech]]]]
[[File:Thomas Robert Cech.jpg|thumb|upright=.6|[[Thomas Cech|Cech]]]]
[[File:Shaw2006astro.jpg|thumb|upright=.7|[[Saul Perlmutter|Perlmutter]], [[Adam Riess|Riess]], [[Brian Schmidt|Schmidt]]]]
[[File:Shaw2006astro.jpg|thumb|upright=.7|[[Saul Perlmutter|Perlmutter]], [[Adam Riess|Riess]], [[Brian Schmidt|Schmidt]]]]
* [[E=mc2|E&nbsp;=&nbsp;mc<sup>2</sup>]], though only Einstein provided the accepted interpretation{{spaced ndash}}[[Henri Poincaré]], 1900; [[Olinto De Pretto]], 1903; [[Albert Einstein]], 1905; [[Paul Langevin]], 1906.<ref>Barbara Goldsmith, ''Obsessive Genius: The Inner World of Marie Curie'', New York, W.W. Norton, 2005, {{ISBN|0-393-05137-4}}, p. 166.</ref>
* 1902: [[Walter Sutton]] and [[Theodor Boveri]] independently proposed that the [[hereditary]] information is carried in the [[chromosome]]s.
* 1902: [[Walter Sutton]] and [[Theodor Boveri]] independently proposed that the [[hereditary]] information is carried in the [[chromosome]]s.
* 1902: [[Richard Assmann]] and [[Léon Teisserenc de Bort]] independently discovered the [[stratosphere]].
* 1902: [[Richard Assmann]] and [[Léon Teisserenc de Bort]] independently discovered the [[stratosphere]].
* 1904: [[Epinephrine]] synthesized independently by [[Friedrich Stolz]] and by [[Henry Drysdale Dakin]].
* [[E=mc2|E&nbsp;=&nbsp;mc<sup>2</sup>]], though only Einstein provided the accepted interpretation{{spaced ndash}}[[Henri Poincaré]], 1900; [[Olinto De Pretto]], 1903; [[Albert Einstein]], 1905; [[Paul Langevin]], 1906.<ref>Barbara Goldsmith, ''Obsessive Genius: The Inner World of Marie Curie'', New York, W.W. Norton, 2005, {{ISBN|0-393-05137-4}}, p. 166.</ref>
* 1905: [[Brownian motion]] was independently explained by [[Albert Einstein]] (in one of his [[Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen|1905 papers]]) and by [[Marian Smoluchowski]] in 1906.<ref name="von Smoluchowski, M. 1906 756–780">{{cite journal |last=von Smoluchowski |first=M. |title=Zur kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen |journal=Annalen der Physik |volume=326 |issue=14 |pages=756–780 |date=1906 |language=de |doi=10.1002/andp.19063261405 |bibcode=1906AnP...326..756V |url= https://zenodo.org/record/1424073}}</ref>
* 1905: [[Brownian motion]] was independently explained by [[Albert Einstein]] (in one of his [[Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen|1905 papers]]) and by [[Marian Smoluchowski]] in 1906.<ref name="von Smoluchowski, M. 1906 756–780">{{cite journal |last=von Smoluchowski |first=M. |title=Zur kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen |journal=Annalen der Physik |volume=326 |issue=14 |pages=756–780 |date=1906 |language=de |doi=10.1002/andp.19063261405 |bibcode=1906AnP...326..756V |url= https://zenodo.org/record/1424073}}</ref>
* 1905: The [[Einstein relation (kinetic theory)|Einstein Relation]] was revealed independently by [[William Sutherland (physicist)|William Sutherland]] in 1905,<ref>{{cite journal |title=LXXV. A dynamical theory of diffusion for non-electrolytes and the molecular mass of albumin |journal=Philosophical Magazine |series=Series 6 |first=William |last=Sutherland |date=1 June 1905 |volume=9 |issue=54 |pages=781–785 |doi=10.1080/14786440509463331 |url= https://zenodo.org/record/1430774}}</ref><ref>{{Cite web |url= http://www.physik.uni-augsburg.de/theo1/hanggi/History/Robert_Brown_Vortrag.pdf |title="Stokes-Einstein-Sutherland equation", P. Hänggi}}</ref> by [[Albert Einstein]] in 1905,<ref>{{cite journal |last=Einstein |first=A. |title=Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen |journal=Annalen der Physik |volume=322 |issue=8 |pages=549–560 |date=1905 |language=de |doi=10.1002/andp.19053220806 |bibcode=1905AnP...322..549E |url= http://sedici.unlp.edu.ar/handle/10915/2785 |doi-access=free}}</ref> and by [[Marian Smoluchowski]] in 1906.<ref name="von Smoluchowski, M. 1906 756–780"/>
* 1905: The [[Einstein relation (kinetic theory)|Einstein Relation]] was revealed independently by [[William Sutherland (physicist)|William Sutherland]] in 1905,<ref>{{cite journal |title=LXXV. A dynamical theory of diffusion for non-electrolytes and the molecular mass of albumin |journal=Philosophical Magazine |series=Series 6 |first=William |last=Sutherland |date=1 June 1905 |volume=9 |issue=54 |pages=781–785 |doi=10.1080/14786440509463331 |url= https://zenodo.org/record/1430774}}</ref><ref>{{Cite web |url= http://www.physik.uni-augsburg.de/theo1/hanggi/History/Robert_Brown_Vortrag.pdf |title="Stokes-Einstein-Sutherland equation", P. Hänggi}}</ref> by [[Albert Einstein]] in 1905,<ref>{{cite journal |last=Einstein |first=A. |title=Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen |journal=Annalen der Physik |volume=322 |issue=8 |pages=549–560 |date=1905 |language=de |doi=10.1002/andp.19053220806 |bibcode=1905AnP...322..549E |url= http://sedici.unlp.edu.ar/handle/10915/2785 |doi-access=free}}</ref> and by [[Marian Smoluchowski]] in 1906.<ref name="von Smoluchowski, M. 1906 756–780"/>
* 1904: [[Epinephrine]] synthesized independently by [[Friedrich Stolz]] and by [[Henry Drysdale Dakin]].
* 1905: The [[chromosome|chromosomal]] [[XY sex-determination system]]—that males have XY, and females XX, sex chromosomes—was discovered independently by [[Nettie Stevens]], at [[Bryn Mawr College]], and by [[Edmund Beecher Wilson]] at [[Columbia University]].<ref name=JSTOR>{{Cite journal |last=Brush |first=Stephen G. |date=June 1978 |title=Nettie M. Stevens and the Discovery of Sex Determination by Chromosomes |jstor=230427 |journal=Isis |volume=69 |issue=2 |pages=162–172 |doi=10.1086/352001 |pmid=389882 |s2cid=1919033}}</ref>
* 1905: The [[chromosome|chromosomal]] [[XY sex-determination system]]—that males have XY, and females XX, sex chromosomes—was discovered independently by [[Nettie Stevens]], at [[Bryn Mawr College]], and by [[Edmund Beecher Wilson]] at [[Columbia University]].<ref name=JSTOR>{{Cite journal |last=Brush |first=Stephen G. |date=June 1978 |title=Nettie M. Stevens and the Discovery of Sex Determination by Chromosomes |jstor=230427 |journal=Isis |volume=69 |issue=2 |pages=162–172 |doi=10.1086/352001 |pmid=389882 |s2cid=1919033}}</ref>
* 1907: [[Lutetium]] discovered independently by French scientist [[Georges Urbain]] and by Austrian mineralogist Baron [[Carl Auer von Welsbach]].
* 1907: [[Lutetium]] discovered independently by French scientist [[Georges Urbain]] and by Austrian mineralogist Baron [[Carl Auer von Welsbach]].
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* 1908: The [[Hardy–Weinberg principle]] is a principle of [[population genetics]] that states that, in the absence of other evolutionary influences, [[Allele frequency|allele]] and [[genotype frequencies]] in a population will remain constant from generation to generation. This law was formulated in 1908 independently by German obstetrician-gynecologist [[Wilhelm Weinberg]] and, a little later and a little less rigorously, by British mathematician [[G.H. Hardy]].
* 1908: The [[Hardy–Weinberg principle]] is a principle of [[population genetics]] that states that, in the absence of other evolutionary influences, [[Allele frequency|allele]] and [[genotype frequencies]] in a population will remain constant from generation to generation. This law was formulated in 1908 independently by German obstetrician-gynecologist [[Wilhelm Weinberg]] and, a little later and a little less rigorously, by British mathematician [[G.H. Hardy]].
* 1908: The [[Photoelectrochemical processes#Stark–Einstein law|Stark–Einstein law]] (aka photochemical equivalence law, or photoequivalence law){{spaced ndash}}independently formulated between 1908 and 1913 by [[Johannes Stark]] and [[Albert Einstein]]. It states that every [[photon]] that is absorbed will cause a (primary) chemical or physical reaction.<ref name=StarkEinsteinlaw>{{Cite encyclopedia |title=Photochemical equivalence law |url= http://www.britannica.com/EBchecked/topic/457732/photochemical-equivalence-law |encyclopedia=[[Encyclopædia Britannica Online]] |access-date=7 November 2009}}</ref>
* 1908: The [[Photoelectrochemical processes#Stark–Einstein law|Stark–Einstein law]] (aka photochemical equivalence law, or photoequivalence law){{spaced ndash}}independently formulated between 1908 and 1913 by [[Johannes Stark]] and [[Albert Einstein]]. It states that every [[photon]] that is absorbed will cause a (primary) chemical or physical reaction.<ref name=StarkEinsteinlaw>{{Cite encyclopedia |title=Photochemical equivalence law |url= http://www.britannica.com/EBchecked/topic/457732/photochemical-equivalence-law |encyclopedia=[[Encyclopædia Britannica Online]] |access-date=7 November 2009}}</ref>
* 1911: [[Ejnar Hertzsprung]] created the [[Hertzsprung–Russell diagram]], abbreviated ''H–R diagram'', ''HR diagram'', or ''HRD'' – a [[scatter plot]] of [[star]]s showing the relationship between the stars' [[absolute magnitude]]s or [[luminosity|luminosities]] versus their [[stellar classification]]s or [[effective temperature]]s – a major step toward an understanding of [[stellar evolution]]. In 1913 the Hertzsprung–Russell diagram was independently created by [[Henry Norris Russell]].
* 1908: [[Frequency-hopping spread spectrum#Origins|Frequency-hopping spread spectrum]] in radio work was described by [[Johannes Zenneck]] (1908), [[Leonard Danilewicz]] (1929),<ref>[[Władysław Kozaczuk]], ''Enigma: How the German Machine Cipher Was Broken, and How It Was Read by the Allies in World War II'', edited and translated by [[Christopher Kasparek]], Frederick, Maryland, University Publications of America, 1984, {{ISBN|0-89093-547-5}}, p. 27.</ref> [[Willem Broertjes]] (1929), and [[Hedy Lamarr]] and [[George Antheil]] (1942 US patent).
* 1908: [[Frequency-hopping spread spectrum#Origins|Frequency-hopping spread spectrum]] in radio work was described by [[Johannes Zenneck]] (1908), [[Leonard Danilewicz]] (1929),<ref>[[Władysław Kozaczuk]], ''Enigma: How the German Machine Cipher Was Broken, and How It Was Read by the Allies in World War II'', edited and translated by [[Christopher Kasparek]], Frederick, Maryland, University Publications of America, 1984, {{ISBN|0-89093-547-5}}, p. 27.</ref> [[Willem Broertjes]] (1929), and [[Hedy Lamarr]] and [[George Antheil]] (1942 US patent).
* 1911: [[Ejnar Hertzsprung]] created the [[Hertzsprung–Russell diagram]], abbreviated ''H–R diagram'', ''HR diagram'', or ''HRD'' – a [[scatter plot]] of [[star]]s showing the relationship between the stars' [[absolute magnitude]]s or [[luminosity|luminosities]] versus their [[stellar classification]]s or [[effective temperature]]s – a major step toward an understanding of [[stellar evolution]]. In 1913 the Hertzsprung–Russell diagram was independently created by [[Henry Norris Russell]].
* 1912-1917: [[Alexander Bogdanov]] formulated principles such as [[feedback]], [[dynamic equilibrium]], [[synergy]], and the [[theory of constraints]] under the transdisciplinary framework of "[[tektology]]". A number of very similar approaches were founded by [[Ludwig von Bertalanffy]] ([[general systems theory]], 1950s), Hermann Schmidt (''allgemeine Regelkreislehre'' (universal science of feedback, 1930s), [[Ștefan Odobleja]] (''psychologie consonantiste'', 1936) and [[Norbert Wiener]] ([[cybernetics]], 1945).
* By 1913, [[vitamin A]] was independently discovered by [[Elmer McCollum]] and [[Marguerite Davis]] at the [[University of Wisconsin–Madison]], and by [[Lafayette Mendel]] and [[Thomas Burr Osborne (chemist)|Thomas Burr Osborne]] at [[Yale University]], who studied the role of fats in the diet.
* By 1913, [[vitamin A]] was independently discovered by [[Elmer McCollum]] and [[Marguerite Davis]] at the [[University of Wisconsin–Madison]], and by [[Lafayette Mendel]] and [[Thomas Burr Osborne (chemist)|Thomas Burr Osborne]] at [[Yale University]], who studied the role of fats in the diet.
* 1915: [[Bacteriophage]]s ([[virus]]es that infect [[bacteria]]){{spaced ndash}}[[Frederick Twort]] (1915), [[Félix d'Hérelle]] (1917).
* 1915: [[Bacteriophage]]s ([[virus]]es that infect [[bacteria]]){{spaced ndash}}[[Frederick Twort]] (1915), [[Félix d'Hérelle]] (1917).
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* 1927: The discovery of [[phosphocreatine]] was reported by Grace Palmer Eggleton and [[Philip Eggleton]] of the [[University of Cambridge]]<ref>{{cite journal |last1=Eggleton |first1=Philip |last2=Eggleton |first2=Grace Palmer |date=1927 |title=The inorganic phosphate and a labile form of organic phosphate in the gastrocnemius of the frog |journal=Biochemical Journal |volume=21 |issue=1 |pages=190–195 |pmid=16743804 |pmc=1251888 |doi=10.1042/bj0210190}}</ref> and separately by Cyrus H. Fiske and [[Yellapragada Subbarow]] of [[Harvard Medical School]].<ref>{{cite journal |last1=Fiske |first1=Cyrus H. |last2=Subbarow |first2=Yellapragada |date=1927 |title=The nature of the 'inorganic phosphate' in voluntary muscle |journal=Science |volume=65 |issue=1686 |pages=401–403 |doi=10.1126/science.65.1686.401 |pmid=17807679 |bibcode=1927Sci....65..401F}}</ref>
* 1927: The discovery of [[phosphocreatine]] was reported by Grace Palmer Eggleton and [[Philip Eggleton]] of the [[University of Cambridge]]<ref>{{cite journal |last1=Eggleton |first1=Philip |last2=Eggleton |first2=Grace Palmer |date=1927 |title=The inorganic phosphate and a labile form of organic phosphate in the gastrocnemius of the frog |journal=Biochemical Journal |volume=21 |issue=1 |pages=190–195 |pmid=16743804 |pmc=1251888 |doi=10.1042/bj0210190}}</ref> and separately by Cyrus H. Fiske and [[Yellapragada Subbarow]] of [[Harvard Medical School]].<ref>{{cite journal |last1=Fiske |first1=Cyrus H. |last2=Subbarow |first2=Yellapragada |date=1927 |title=The nature of the 'inorganic phosphate' in voluntary muscle |journal=Science |volume=65 |issue=1686 |pages=401–403 |doi=10.1126/science.65.1686.401 |pmid=17807679 |bibcode=1927Sci....65..401F}}</ref>
* 1929: [[Dmitri Skobeltsyn]] first observed the [[positron]] in 1929.<ref>{{Cite book |title=Antimatter |last=Frank |first=Close |publisher=Oxford University Press |isbn=978-0-19-955016-6 |pages=50–52 |date=22 January 2009}}</ref> [[Chung-Yao Chao]] also observed the positron in 1929, though he did not recognize it as such.
* 1929: [[Dmitri Skobeltsyn]] first observed the [[positron]] in 1929.<ref>{{Cite book |title=Antimatter |last=Frank |first=Close |publisher=Oxford University Press |isbn=978-0-19-955016-6 |pages=50–52 |date=22 January 2009}}</ref> [[Chung-Yao Chao]] also observed the positron in 1929, though he did not recognize it as such.
* 1930s: [[Quantum electrodynamics]] and [[renormalization]] (1930s–40s): [[Ernst Stueckelberg]], [[Julian Schwinger]], [[Richard Feynman]], and [[Sin-Itiro Tomonaga]], for which the latter 3 received the 1965 [[Nobel Prize in Physics]].
* 1930: [[Tarski's undefinability theorem|Undefinability theorem]], an important limitative result in [[mathematical logic]]{{spaced ndash}}[[Kurt Gödel]] (1930; described in a 1931 private letter, but not published); [[Alfred Tarski]] (1933).
* 1930: [[Tarski's undefinability theorem|Undefinability theorem]], an important limitative result in [[mathematical logic]]{{spaced ndash}}[[Kurt Gödel]] (1930; described in a 1931 private letter, but not published); [[Alfred Tarski]] (1933).
* 1930: [[Chandrasekhar Limit]]—published by [[Subramanyan Chandrasekhar]] (1931–35); also computed by [[Lev Davidovich Landau|Lev Landau]] (1932).<ref>[[Stephen Hawking]], ''[[A Brief History of Time]]'', Bantam Press, 1996, p. 88.</ref> Also [[Edmund Clifton Stoner]] and [[Wilhelm Anderson]] (1930)
* 1930: [[Chandrasekhar Limit]]—published by [[Subramanyan Chandrasekhar]] (1931–35); also computed by [[Lev Davidovich Landau|Lev Landau]] (1932).<ref>[[Stephen Hawking]], ''[[A Brief History of Time]]'', Bantam Press, 1996, p. 88.</ref> Also [[Edmund Clifton Stoner]] and [[Wilhelm Anderson]] (1930)
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* 1934: The [[Gelfond–Schneider theorem]], in mathematics, establishes the [[transcendental number|transcendence]] of a large class of numbers. It was originally proved in 1934 by [[Aleksandr Gelfond]], and again independently in 1935 by [[Theodor Schneider]].
* 1934: The [[Gelfond–Schneider theorem]], in mathematics, establishes the [[transcendental number|transcendence]] of a large class of numbers. It was originally proved in 1934 by [[Aleksandr Gelfond]], and again independently in 1935 by [[Theodor Schneider]].
* 1934: The [[Penrose triangle]], also known as the "tribar", is an [[impossible object]]. It was first created by the Swedish artist [[Oscar Reutersvärd]] in 1934. The [[mathematician]] [[Roger Penrose]] independently devised and popularized it in the 1950s.
* 1934: The [[Penrose triangle]], also known as the "tribar", is an [[impossible object]]. It was first created by the Swedish artist [[Oscar Reutersvärd]] in 1934. The [[mathematician]] [[Roger Penrose]] independently devised and popularized it in the 1950s.
* 1936: In [[computer science]], the concept of the "universal computing machine" (now generally called the "[[Turing Machine]]") was proposed by [[Alan Turing]], but also independently by [[Emil Leon Post|Emil Post]],<ref>See the "bibliographic notes" at the end of chapter 7 in Hopcroft & Ullman, ''Introduction to Automata, Languages, and Computation'', Addison-Wesley, 1979.</ref> both in 1936. Similar approaches, also aiming to cover the concept of universal computing, were introduced by [[Stephen Cole Kleene|S.C. Kleene]], [[Rózsa Péter]], and [[Alonzo Church]] that same year. Also in 1936, [[Konrad Zuse]] tried to build a binary electrically driven mechanical calculator with limited programability; however, Zuse's machine was never fully functional. The later [[Atanasoff–Berry Computer]] ("ABC"), designed by [[John Vincent Atanasoff]] and [[Clifford Berry]], was the first fully [[electronics|electronic]] [[Digital data|digital]] [[computing]] device;<ref>{{Citation |date=1976 |editor1-last=Ralston |editor1-first=Anthony |editor2-last=Meek |editor2-first=Christopher |title=Encyclopedia of Computer Science |edition=2nd |pages=488–489 |isbn=978-0-88405-321-7}}</ref> while not programmable, it pioneered important elements of modern computing, including [[binary arithmetic]] and [[Electronics|electronic switching]] elements,<ref>{{Citation |last1=Campbell-Kelly |first1=Martin |last2=Aspray |first2=William |date=1996 |title=Computer: A History of the Information Machine |page=84 |isbn=978-0-465-02989-1 |publisher=[[Basic Books]] |location=New York |title-link=Computer: A History of the Information Machine}}.</ref><ref>[[Jane Smiley]], ''The Man Who Invented the Computer: The Biography of John Atanasoff, Digital Pioneer'', 2010.</ref> though its special-purpose nature and lack of a changeable, [[stored program]] distinguish it from modern computers.
* 1936: In [[computer science]], the concept of the "universal computing machine" (now generally called the "[[Turing Machine]]") was proposed by [[Alan Turing]], but also independently by [[Emil Leon Post|Emil Post]],<ref>See the "bibliographic notes" at the end of chapter 7 in Hopcroft & Ullman, ''Introduction to Automata, Languages, and Computation'', Addison-Wesley, 1979.</ref> both in 1936. Similar approaches, also aiming to cover the concept of universal computing, were introduced by [[Stephen Cole Kleene|S.C. Kleene]], [[Rózsa Péter]], and [[Alonzo Church]] that same year. Also in 1936, [[Konrad Zuse]] tried to build a binary electrically driven mechanical calculator with limited programability; however, Zuse's machine was never fully functional. The later [[Atanasoff–Berry Computer]] ("ABC"), designed by [[John Vincent Atanasoff]] and [[Clifford Berry]], was the first fully [[electronics|electronic]] [[Digital data|digital]] [[computing]] device;<ref>{{Citation |date=1976 |editor1-last=Ralston |editor1-first=Anthony |editor2-last=Meek |editor2-first=Christopher |title=Encyclopedia of Computer Science |edition=2nd |pages=488–489 |publisher=Petrocelli/Charter |isbn=978-0-88405-321-7}}</ref> while not programmable, it pioneered important elements of modern computing, including [[binary arithmetic]] and [[Electronics|electronic switching]] elements,<ref>{{Citation |last1=Campbell-Kelly |first1=Martin |last2=Aspray |first2=William |date=1996 |title=Computer: A History of the Information Machine |page=84 |isbn=978-0-465-02989-1 |publisher=[[Basic Books]] |location=New York |title-link=Computer: A History of the Information Machine}}.</ref><ref>[[Jane Smiley]], ''The Man Who Invented the Computer: The Biography of John Atanasoff, Digital Pioneer'', 2010.</ref> though its special-purpose nature and lack of a changeable, [[stored program]] distinguish it from modern computers.
* 1938: [[Benford's law]], also known as the [[Newcomb–Benford law]], the [[law of anomalous numbers]], or the [[first-digit law]], was discovered in 1881 by [[Simon Newcomb]] and rediscovered in 1938 by [[Frank Benford]].<ref>Jack Murtagh, "This Unexpected Pattern of Numbers Is Everywhere: A curious mathematical phenomenon called Benford's law governs the numbers all around us", ''[[Scientific American]]'', vol. 329, no. 5 (December 2023), pp. 82–83.</ref> Newcomb's discovery was named after its ''re''discoverer, Benford, making it an example of [[Stigler's law of eponymy]] (named by [[Stephen Stigler]] after himself in 1980: see below).
* 1938: [[Benford's law]], also known as the [[Newcomb–Benford law]], the [[law of anomalous numbers]], or the [[first-digit law]], was discovered in 1881 by [[Simon Newcomb]] and rediscovered in 1938 by [[Frank Benford]].<ref>Jack Murtagh, "This Unexpected Pattern of Numbers Is Everywhere: A curious mathematical phenomenon called Benford's law governs the numbers all around us", ''[[Scientific American]]'', vol. 329, no. 5 (December 2023), pp. 82–83.</ref> Newcomb's discovery was named after its ''re''discoverer, Benford, making it an example of [[Stigler's law of eponymy]] (named by [[Stephen Stigler]] after himself in 1980: see below).
* The [[atom bomb]] was independently thought of by [[Leó Szilárd]],<ref>[[Richard Rhodes]], ''The Making of the Atomic Bomb'', New York, Simon and Schuster, 1986, {{ISBN|0-671-44133-7}}, p. 27.</ref> [[Józef Rotblat]]<ref>[[Irwin Abrams]] website,[http://www.irwinabrams.com/books/excerpts/annual95.html]</ref> and others.
* The [[atom bomb]] was independently thought of by [[Leó Szilárd]],<ref>[[Richard Rhodes]], ''The Making of the Atomic Bomb'', New York, Simon and Schuster, 1986, {{ISBN|0-671-44133-7}}, p. 27.</ref> [[Józef Rotblat]]<ref>[[Irwin Abrams]] website,[http://www.irwinabrams.com/books/excerpts/annual95.html]</ref> and others.
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* Late 1940s: [[NMR spectroscopy]] was independently developed in the late 1940s and early 1950s by the Purcell group at [[Harvard University]] and the Bloch group at [[Stanford University]]. [[Edward Mills Purcell]] and [[Felix Bloch]] shared the 1952 [[Nobel Prize in Physics]] for their discoveries.<ref>{{Cite web |title=Background and Theory Page of Nuclear Magnetic Resonance Facility |url= http://www.nmr.unsw.edu.au/usercorner/nmrhistory.htm |publisher=Mark Wainwright Analytical Centre – University of Southern Wales Sydney |date=9 December 2011 |access-date=9 February 2014 |url-status=dead |archive-url= https://web.archive.org/web/20140127183200/http://www.nmr.unsw.edu.au/usercorner/nmrhistory.htm |archive-date=27 January 2014}}</ref>
* Late 1940s: [[NMR spectroscopy]] was independently developed in the late 1940s and early 1950s by the Purcell group at [[Harvard University]] and the Bloch group at [[Stanford University]]. [[Edward Mills Purcell]] and [[Felix Bloch]] shared the 1952 [[Nobel Prize in Physics]] for their discoveries.<ref>{{Cite web |title=Background and Theory Page of Nuclear Magnetic Resonance Facility |url= http://www.nmr.unsw.edu.au/usercorner/nmrhistory.htm |publisher=Mark Wainwright Analytical Centre – University of Southern Wales Sydney |date=9 December 2011 |access-date=9 February 2014 |url-status=dead |archive-url= https://web.archive.org/web/20140127183200/http://www.nmr.unsw.edu.au/usercorner/nmrhistory.htm |archive-date=27 January 2014}}</ref>
* 1950: [[Polio vaccine]] (1950–63): [[Hilary Koprowski]], [[Jonas Salk]], [[Albert Sabin]].
* 1950: [[Polio vaccine]] (1950–63): [[Hilary Koprowski]], [[Jonas Salk]], [[Albert Sabin]].
* 1952: The [[maser]], a precursor to the [[laser]], was described by Russian scientists in 1952, and built independently by scientists at [[Columbia University]] in 1953. The [[laser]] itself was developed independently by [[Gordon Gould]] at Columbia University and by researchers at [[Bell Labs]], and by the Russian scientist [[Alexander Prokhorov|Aleksandr Prokhorov]].
* 1958: The [[integrated circuit]] was devised independently by [[Jack Kilby]] in 1958<ref name="TIJackBuilt">[http://www.ti.com/corp/docs/kilbyctr/jackbuilt.shtml ''The Chip that Jack Built''], c. 2008, HTML, Texas Instruments, retrieved 29 May 2008.</ref> and half a year later by [[Robert Noyce]].<ref>Christophe Lécuyer, ''Making Silicon Valley: Innovation and the Growth of High Tech, 1930–1970'', MIT Press, 2006, {{ISBN|0-262-12281-2}}, p. 129.</ref> Kilby won the 2000 Nobel Prize in Physics for his part in the invention of the integrated circuit.<ref>Nobel Web AB, 10 October 2000 [http://nobelprize.org/nobel_prizes/physics/laureates/2000/press.html ''The Nobel Prize in Physics 2000''], retrieved 29 May 2008.</ref>
* 1958: The [[integrated circuit]] was devised independently by [[Jack Kilby]] in 1958<ref name="TIJackBuilt">[http://www.ti.com/corp/docs/kilbyctr/jackbuilt.shtml ''The Chip that Jack Built''], c. 2008, HTML, Texas Instruments, retrieved 29 May 2008.</ref> and half a year later by [[Robert Noyce]].<ref>Christophe Lécuyer, ''Making Silicon Valley: Innovation and the Growth of High Tech, 1930–1970'', MIT Press, 2006, {{ISBN|0-262-12281-2}}, p. 129.</ref> Kilby won the 2000 Nobel Prize in Physics for his part in the invention of the integrated circuit.<ref>Nobel Web AB, 10 October 2000 [http://nobelprize.org/nobel_prizes/physics/laureates/2000/press.html ''The Nobel Prize in Physics 2000''], retrieved 29 May 2008.</ref>
* Late 1950s: The [[QR algorithm]] for calculating [[eigenvalues and eigenvectors]] of matrices was developed independently in the late 1950s by [[John G. F. Francis]] and by [[Vera N. Kublanovskaya]].<ref>{{cite journal |last1=Golub |first1=G. |last2=Uhlig |first2=F. |title=The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments |journal=IMA Journal of Numerical Analysis |date=8 June 2009 |volume=29 |issue=3 |pages=467–485 |doi=10.1093/imanum/drp012 |s2cid=119892206 |issn=0272-4979}}</ref> The algorithm is considered one of the most important developments in numerical linear algebra of the 20th century.<ref>{{cite journal |last1=Dongarra |first1=J. |last2=Sullivan |first2=F. |title=Guest Editors Introduction: The Top 10 Algorithms |journal=Computing in Science & Engineering |date=January 2000 |volume=2 |issue=1 |pages=22–23 |doi=10.1109/MCISE.2000.814652 |bibcode=2000CSE.....2a..22D}}</ref>
* Late 1950s: The [[QR algorithm]] for calculating [[eigenvalues and eigenvectors]] of matrices was developed independently in the late 1950s by [[John G. F. Francis]] and by [[Vera N. Kublanovskaya]].<ref>{{cite journal |last1=Golub |first1=G. |last2=Uhlig |first2=F. |title=The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments |journal=IMA Journal of Numerical Analysis |date=8 June 2009 |volume=29 |issue=3 |pages=467–485 |doi=10.1093/imanum/drp012 |s2cid=119892206 |issn=0272-4979}}</ref> The algorithm is considered one of the most important developments in numerical linear algebra of the 20th century.<ref>{{cite journal |last1=Dongarra |first1=J. |last2=Sullivan |first2=F. |title=Guest Editors Introduction: The Top 10 Algorithms |journal=Computing in Science & Engineering |date=January 2000 |volume=2 |issue=1 |pages=22–23 |doi=10.1109/MCISE.2000.814652 |bibcode=2000CSE.....2a..22D}}</ref>
* 1930s: [[Quantum electrodynamics]] and [[renormalization]] (1930s–40s): [[Ernst Stueckelberg]], [[Julian Schwinger]], [[Richard Feynman]], and [[Sin-Itiro Tomonaga]], for which the latter 3 received the 1965 [[Nobel Prize in Physics]].
* 1952: The [[maser]], a precursor to the [[laser]], was described by Russian scientists in 1952, and built independently by scientists at [[Columbia University]] in 1953. The [[laser]] itself was developed independently by [[Gordon Gould]] at Columbia University and by researchers at [[Bell Labs]], and by the Russian scientist [[Alexander Prokhorov|Aleksandr Prokhorov]].
* 1960s: [[Kolmogorov complexity]], also known as "Kolmogorov–Chaitin complexity", descriptive complexity, etc., of an object such as a piece of text is a measure of the computational resources needed to specify the object. The concept was independently introduced by [[Ray Solomonoff]], [[Andrey Kolmogorov]] and [[Gregory Chaitin]] in the 1960s.<ref>See Chapter 1.6 in the first edition of Li & Vitanyi, ''An Introduction to Kolmogorov Complexity and Its Applications'', who cite Chaitin (1975): "this definition [of Kolmogorov complexity] was independently proposed about 1965 by A.N. Kolmogorov and me&nbsp;... Both Kolmogorov and I were then unaware of related proposals made in 1960 by Ray Solomonoff".</ref>
* 1960s: [[Kolmogorov complexity]], also known as "Kolmogorov–Chaitin complexity", descriptive complexity, etc., of an object such as a piece of text is a measure of the computational resources needed to specify the object. The concept was independently introduced by [[Ray Solomonoff]], [[Andrey Kolmogorov]] and [[Gregory Chaitin]] in the 1960s.<ref>See Chapter 1.6 in the first edition of Li & Vitanyi, ''An Introduction to Kolmogorov Complexity and Its Applications'', who cite Chaitin (1975): "this definition [of Kolmogorov complexity] was independently proposed about 1965 by A.N. Kolmogorov and me&nbsp;... Both Kolmogorov and I were then unaware of related proposals made in 1960 by Ray Solomonoff".</ref>
* Early 1960s: The concept of [[packet switching]], a communications method in which discrete blocks of data ([[Packet (information technology)|packets]]) are [[routing|routed]] between [[node (networking)|nodes]] over data links, was first explored by [[Paul Baran]] in the early 1960s, and then independently a few years later by [[Donald Davies]].
* Early 1960s: The concept of [[packet switching]], a communications method in which discrete blocks of data ([[Packet (information technology)|packets]]) are [[routing|routed]] between [[node (networking)|nodes]] over data links, was first explored by [[Paul Baran]] in the early 1960s, and then independently a few years later by [[Donald Davies]].
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* [[Capital asset pricing model#Inventors|Capital Asset Pricing Model (CAPM)]] is a popular model in finance for trading off risk versus return. Three separate authors published it in academic journals and a fourth circulated unpublished papers.
* [[Capital asset pricing model#Inventors|Capital Asset Pricing Model (CAPM)]] is a popular model in finance for trading off risk versus return. Three separate authors published it in academic journals and a fourth circulated unpublished papers.
* 1963: In a major advance in the development of [[plate tectonics theory]], the [[Vine–Matthews–Morley hypothesis]] was independently proposed by [[Lawrence Morley]], and by [[Fred Vine]] and [[Drummond Matthews]], linking [[seafloor spreading]] and the symmetric "zebra pattern" of [[magnetic reversals]] in the [[basalt]] rocks on either side of mid-ocean ridges.<ref>{{cite journal |last1=Heirtzler |first1=James R. |first2=Xavier |last2=Le Pichon |first3=J. Gregory |last3=Baron |date=1966 |title=Magnetic anomalies over the Reykjanes Ridge |journal=Deep-Sea Research |volume=13 |issue=3 |pages=427–32 |doi=10.1016/0011-7471(66)91078-3 |ref=CITEREFHeirzlerLe PichonBaron1966 |bibcode=1966DSRA...13..427H}}</ref>
* 1963: In a major advance in the development of [[plate tectonics theory]], the [[Vine–Matthews–Morley hypothesis]] was independently proposed by [[Lawrence Morley]], and by [[Fred Vine]] and [[Drummond Matthews]], linking [[seafloor spreading]] and the symmetric "zebra pattern" of [[magnetic reversals]] in the [[basalt]] rocks on either side of mid-ocean ridges.<ref>{{cite journal |last1=Heirtzler |first1=James R. |first2=Xavier |last2=Le Pichon |first3=J. Gregory |last3=Baron |date=1966 |title=Magnetic anomalies over the Reykjanes Ridge |journal=Deep-Sea Research |volume=13 |issue=3 |pages=427–32 |doi=10.1016/0011-7471(66)91078-3 |ref=CITEREFHeirzlerLe PichonBaron1966 |bibcode=1966DSRA...13..427H}}</ref>
* [[Cosmic background radiation]] as a signature of the [[Big Bang]] was confirmed by [[Arno Penzias]] and [[Robert Woodrow Wilson|Robert Wilson]] of [[Bell Labs]]. Penzias and Wilson had been testing a very sensitive microwave detector when they noticed that their equipment was picking up a strange noise that was independent of the orientation (direction) of their instrument. At first they thought the noise was generated due to pigeon droppings in the detector, but even after they removed the droppings the noise was still detected. Meanwhile, at nearby [[Princeton University]] two physicists, [[Robert H. Dicke|Robert Dicke]] and [[Jim Peebles]], were working on a suggestion of [[George Gamow]]'s that the early universe had been hot and dense; they believed its hot glow could still be detected but would be so [[red shift|red-shifted]] that it would manifest as microwaves. When [[Arno Penzias|Penzias]] and [[Robert Woodrow Wilson|Wilson]] learned about this, they realized that they had already detected the red-shifted microwaves and (to the disappointment of Dicke and Peebles) were awarded the 1978 [[Nobel Prize]] in physics.<ref name="Time, Bantam 1996, pp. 43–45" />
* [[Cosmic microwave background]] as a signature of the [[Big Bang]] was confirmed by [[Arno Penzias]] and [[Robert Woodrow Wilson|Robert Wilson]] of [[Bell Labs]]. Penzias and Wilson had been testing a very sensitive microwave detector when they noticed that their equipment was picking up a strange noise that was independent of the orientation (direction) of their instrument. At first they thought the noise was generated due to pigeon droppings in the detector, but even after they removed the droppings the noise was still detected. Meanwhile, at nearby [[Princeton University]] two physicists, [[Robert H. Dicke|Robert Dicke]] and [[Jim Peebles]], were working on a suggestion of [[George Gamow]]'s that the early universe had been hot and dense; they believed its hot glow could still be detected but would be so [[red shift|red-shifted]] that it would manifest as microwaves. When [[Arno Penzias|Penzias]] and [[Robert Woodrow Wilson|Wilson]] learned about this, they realized that they had already detected the red-shifted microwaves and (to the disappointment of Dicke and Peebles) were awarded the 1978 [[Nobel Prize]] in physics.<ref name="Time, Bantam 1996, pp. 43–45" />
* 1963: [[Conductive polymers]]: Between 1963 and 1977, doped and oxidized highly conductive polyacetylene derivatives were independently discovered, "lost", and then rediscovered at least four times. The last rediscovery won the 2000 Nobel prize in Chemistry, for the "discovery and development of conductive polymers". This was without reference to the previous discoveries.<ref>Citations in article "[[Conductive polymers]]".</ref>
* 1963: [[Conductive polymers]]: Between 1963 and 1977, doped and oxidized highly conductive polyacetylene derivatives were independently discovered, "lost", and then rediscovered at least four times. The last rediscovery won the 2000 Nobel prize in Chemistry, for the "discovery and development of conductive polymers". This was without reference to the previous discoveries.<ref>Citations in article "[[Conductive polymers]]".</ref>
* 1964: The relativistic model for the [[Higgs mechanism]] was developed by three independent groups: [[Robert Brout]] and [[François Englert]]; [[Peter Higgs]]; and [[Gerald Guralnik]], [[Carl Richard Hagen]], and [[Tom Kibble]].<ref>Sean Carrol, ''The Particle at the End of the Universe: The Hunt for the Higgs and the Discovery of a New World'', Dutton, 2012, p.228. [http://www.goodreads.com/book/show/15744013-the-particle-at-the-end-of-the-universe]</ref> Slightly later, in 1965, it was also proposed by Soviet undergraduate students [[Alexander Migdal]] and [[Alexander Markovich Polyakov]].<ref>{{cite journal |first1=A. A. |last1=Migdal |author1-link=Alexander Migdal |first2=A. M. |last2=Polyakov |author2-link=Alexander Markovich Polyakov |url= http://www.jetp.ac.ru/cgi-bin/dn/e_024_01_0091.pdf |title=Spontaneous Breakdown of Strong Interaction Symmetry and Absence of Massless Particles |archive-url= https://web.archive.org/web/20131203014220/http://www.jetp.ac.ru/cgi-bin/dn/e_024_01_0091.pdf |archive-date=3 December 2013 |journal=JETP |volume=51 |page=135 |date=July 1966}} (English translation: ''Soviet Physics JETP'', vol. 24, p. 1, January 1967.)</ref> The existence of the "[[Higgs boson]]" was finally confirmed in 2012; Higgs and Englert were awarded a Nobel Prize in 2013.
* 1964: The relativistic model for the [[Higgs mechanism]] was developed by three independent groups: [[Robert Brout]] and [[François Englert]]; [[Peter Higgs]]; and [[Gerald Guralnik]], [[Carl Richard Hagen]], and [[Tom Kibble]].<ref>Sean Carrol, ''The Particle at the End of the Universe: The Hunt for the Higgs and the Discovery of a New World'', Dutton, 2012, p.228. [http://www.goodreads.com/book/show/15744013-the-particle-at-the-end-of-the-universe]</ref> Slightly later, in 1965, it was also proposed by Soviet undergraduate students [[Alexander Migdal]] and [[Alexander Markovich Polyakov]].<ref>{{cite journal |first1=A. A. |last1=Migdal |author1-link=Alexander Migdal |first2=A. M. |last2=Polyakov |author2-link=Alexander Markovich Polyakov |url= http://www.jetp.ac.ru/cgi-bin/dn/e_024_01_0091.pdf |title=Spontaneous Breakdown of Strong Interaction Symmetry and Absence of Massless Particles |archive-url= https://web.archive.org/web/20131203014220/http://www.jetp.ac.ru/cgi-bin/dn/e_024_01_0091.pdf |archive-date=3 December 2013 |journal=JETP |volume=51 |page=135 |date=July 1966}} (English translation: ''Soviet Physics JETP'', vol. 24, p. 1, January 1967.)</ref> The existence of the "[[Higgs boson]]" was finally confirmed in 2012; Higgs and Englert were awarded a Nobel Prize in 2013.
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* The [[Knuth–Morris–Pratt algorithm|Knuth–Morris–Pratt]] [[string searching algorithm]] was developed by [[Donald Knuth]] and [[Vaughan Pratt]] and independently by [[J. H. Morris]].
* The [[Knuth–Morris–Pratt algorithm|Knuth–Morris–Pratt]] [[string searching algorithm]] was developed by [[Donald Knuth]] and [[Vaughan Pratt]] and independently by [[J. H. Morris]].
* 1971: The [[Cook–Levin theorem]] (also known as "Cook's theorem"), a result in [[computational complexity theory]], was proven independently by [[Stephen Cook]] (1971 in the U.S.) and by [[Leonid Levin]] (1973 in the [[Soviet Union|USSR]]). Levin was not aware of Cook's achievement because of communication difficulties between East and West during the [[Cold War]]. The other way round, Levin's work was not widely known in the West until around 1978.<ref>See Garey & Johnson, ''Computers and intractability'', p. 119.<br />Cf. also the survey article by Trakhtenbrot (see "External Links").<br />Levin emigrated to the U.S. in 1978.</ref>
* 1971: The [[Cook–Levin theorem]] (also known as "Cook's theorem"), a result in [[computational complexity theory]], was proven independently by [[Stephen Cook]] (1971 in the U.S.) and by [[Leonid Levin]] (1973 in the [[Soviet Union|USSR]]). Levin was not aware of Cook's achievement because of communication difficulties between East and West during the [[Cold War]]. The other way round, Levin's work was not widely known in the West until around 1978.<ref>See Garey & Johnson, ''Computers and intractability'', p. 119.<br />Cf. also the survey article by Trakhtenbrot (see "External Links").<br />Levin emigrated to the U.S. in 1978.</ref>
* 1976: [[Mevastatin]] (compactin; ML-236B) was independently discovered by Akira Endo in Japan in a culture of ''Penicillium citrinium''<ref>{{cite journal |last1=Endo |first1=Akira |last2=Kuroda |first2=M. |last3=Tsujita |first3=Y. |date=1976 |title=ML-236A, ML-236B, and ML-236C, new inhibitors of cholesterogenesis produced by Penicillium citrinium |journal=The Journal of Antibiotics |volume=29 |issue=12 |pages=1346–8 |doi=10.7164/antibiotics.29.1346 |pmid=1010803 |doi-access=free}}</ref> and by a British group in a culture of ''Penicillium brevicompactum''.<ref>{{cite journal |last1=Brown |first1=Alian G. |last2=Smale |first2=Terry C. |last3=King |first3=Trevor J. |last4=Hasenkamp |first4=Rainer |last5=Thompson |first5=Ronald H. |date=1976 |title=Crystal and Molecular Structure of Compactin, a New Antifungal Metabolite from Penicillium brevicompactum |journal=J. Chem. Soc. Perkin Trans. |volume=1 |issue=11 |pages=1165–1170 |doi=10.1039/P19760001165 |pmid=945291}}</ref> Both reports were published in 1976.
* 1972: The [[Bohlen–Pierce scale]], a harmonic, non-octave musical scale, was independently discovered by [[Heinz Bohlen]] (1972), [[Kees van Prooijen]] (1978) and [[John R. Pierce]] (1984).
* 1972: The [[Bohlen–Pierce scale]], a harmonic, non-octave musical scale, was independently discovered by [[Heinz Bohlen]] (1972), [[Kees van Prooijen]] (1978) and [[John R. Pierce]] (1984).
* 1973: [[RSA (algorithm)|RSA]], an algorithm suitable for [[digital signature|signing]] and [[encryption]] in [[public-key cryptography]], was publicly described in 1977 by [[Ron Rivest]], [[Adi Shamir]] and [[Leonard Adleman]]. An equivalent system had been described in 1973 in an internal document by [[Clifford Cocks]], a British mathematician working for the UK intelligence agency [[Government Communications Headquarters|GCHQ]], but his work was not revealed until 1997 due to its top-secret classification.
* 1973: [[RSA (algorithm)|RSA]], an algorithm suitable for [[digital signature|signing]] and [[encryption]] in [[public-key cryptography]], was publicly described in 1977 by [[Ron Rivest]], [[Adi Shamir]] and [[Leonard Adleman]]. An equivalent system had been described in 1973 in an internal document by [[Clifford Cocks]], a British mathematician working for the UK intelligence agency [[Government Communications Headquarters|GCHQ]], but his work was not revealed until 1997 due to its top-secret classification.
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* 1975: [[Endorphins]] were discovered independently in Scotland and the US in 1975.
* 1975: [[Endorphins]] were discovered independently in Scotland and the US in 1975.
* 1975: Two English biologists, Robin Holliday and John Pugh, and an American biologist, Arthur Riggs, independently suggested that [[methylation]], a chemical modification of [[DNA]] that is heritable and can be induced by [[Environment (biophysical)|environment]]al influences, including physical and emotional [[Stress (biology)|stress]]es, has an important part in controlling [[gene expression]]. This concept has become foundational for the field of [[epigenetics]], with its multifarious implications for physical and [[mental health]] and for sociopolitics.<ref>Israel Rosenfield and [dward Ziff, "[[Epigenetics]]: The [[Evolution]] Revolution", ''[[The New York Review of Books]]'', vol. LXV, no. 10 (7 June 2018), pp. 36,38.</ref>
* 1975: Two English biologists, Robin Holliday and John Pugh, and an American biologist, Arthur Riggs, independently suggested that [[methylation]], a chemical modification of [[DNA]] that is heritable and can be induced by [[Environment (biophysical)|environment]]al influences, including physical and emotional [[Stress (biology)|stress]]es, has an important part in controlling [[gene expression]]. This concept has become foundational for the field of [[epigenetics]], with its multifarious implications for physical and [[mental health]] and for sociopolitics.<ref>Israel Rosenfield and [dward Ziff, "[[Epigenetics]]: The [[Evolution]] Revolution", ''[[The New York Review of Books]]'', vol. LXV, no. 10 (7 June 2018), pp. 36,38.</ref>
* 1976: [[Mevastatin]] (compactin; ML-236B) was independently discovered by Akira Endo in Japan in a culture of ''Penicillium citrinium''<ref>{{cite journal |last1=Endo |first1=Akira |last2=Kuroda |first2=M. |last3=Tsujita |first3=Y. |date=1976 |title=ML-236A, ML-236B, and ML-236C, new inhibitors of cholesterogenesis produced by Penicillium citrinium |journal=The Journal of Antibiotics |volume=29 |issue=12 |pages=1346–8 |doi=10.7164/antibiotics.29.1346 |pmid=1010803 |doi-access=free}}</ref> and by a British group in a culture of ''Penicillium brevicompactum''.<ref>{{cite journal |last1=Brown |first1=Alian G. |last2=Smale |first2=Terry C. |last3=King |first3=Trevor J. |last4=Hasenkamp |first4=Rainer |last5=Thompson |first5=Ronald H. |date=1976 |title=Crystal and Molecular Structure of Compactin, a New Antifungal Metabolite from Penicillium brevicompactum |journal=J. Chem. Soc. Perkin Trans. |volume=1 |issue=11 |pages=1165–1170 |doi=10.1039/P19760001165 |pmid=945291}}</ref> Both reports were published in 1976.
* 1980: The [[asteroid]] cause of the [[Cretaceous-Tertiary extinction]] that wiped out much life on Earth, including all [[dinosaurs]] except for [[birds]], was published in ''[[Science (journal)|Science]]''<ref>Alvarez, L W; Alvarez, W; Asaro, F; Michel, H V (1980). "Extraterrestrial cause for the Cretaceous–Tertiary extinction" (PDF). Science. 208 (4448): 1095–1108. Bibcode:1980Sci...208.1095A. doi:10.1126/science.208.4448.1095. {{PMID|17783054}}. S2CID 16017767.</ref> by [[Luis Walter Alvarez|Luis]] and [[Walter Alvarez]] ''et al.''; and independently 2 weeks earlier, in ''[[Nature (journal)|Nature]]'', by Dutch geologist Jan Smit and Belgian geologist Jan Hertogen.<ref>Peter Brannen, "The Worst Times on Earth: Mass extinctions send us a warning about the future of life on this planet", ''[[Scientific American]]'', vol. 323, no. 3 (September 2020), pp. 74–81. (The Smit–Hertogen independent discovery is referenced on p. 80.)</ref>
* 1980: The [[asteroid]] cause of the [[Cretaceous-Tertiary extinction]] that wiped out much life on Earth, including all [[dinosaurs]] except for [[birds]], was published in ''[[Science (journal)|Science]]''<ref>Alvarez, L W; Alvarez, W; Asaro, F; Michel, H V (1980). "Extraterrestrial cause for the Cretaceous–Tertiary extinction" (PDF). Science. 208 (4448): 1095–1108. Bibcode:1980Sci...208.1095A. doi:10.1126/science.208.4448.1095. {{PMID|17783054}}. S2CID 16017767.</ref> by [[Luis Walter Alvarez|Luis]] and [[Walter Alvarez]] ''et al.''; and independently 2 weeks earlier, in ''[[Nature (journal)|Nature]]'', by Dutch geologist Jan Smit and Belgian geologist Jan Hertogen.<ref>Peter Brannen, "The Worst Times on Earth: Mass extinctions send us a warning about the future of life on this planet", ''[[Scientific American]]'', vol. 323, no. 3 (September 2020), pp. 74–81. (The Smit–Hertogen independent discovery is referenced on p. 80.)</ref>
* 1980: [[Stigler's law of eponymy]], stating that no scientific discovery is named after its original discoverer, was self-named for ironic effect by [[Stephen Stigler]] (1980), who acknowledged that this law had earlier been discovered by many others, including [[Henry Dudeney]] (1917).
* 1980: [[Stigler's law of eponymy]], stating that no scientific discovery is named after its original discoverer, was self-named for ironic effect by [[Stephen Stigler]] (1980), who acknowledged that this law had earlier been discovered by many others, including [[Henry Dudeney]] (1917).
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* 1987: The [[Immerman–Szelepcsényi theorem]], another fundamental result in computational complexity theory, was proven independently by [[Neil Immerman]] and [[Róbert Szelepcsényi]] in 1987.<ref>See [http://www.eatcs.org/activities/awards/goedel1995.html EATCS on the Gödel Prize 1995] {{webarchive|url= https://web.archive.org/web/20070804131454/https://www.eatcs.org/activities/awards/goedel1995.html |date=4 August 2007}}.</ref>
* 1987: The [[Immerman–Szelepcsényi theorem]], another fundamental result in computational complexity theory, was proven independently by [[Neil Immerman]] and [[Róbert Szelepcsényi]] in 1987.<ref>See [http://www.eatcs.org/activities/awards/goedel1995.html EATCS on the Gödel Prize 1995] {{webarchive|url= https://web.archive.org/web/20070804131454/https://www.eatcs.org/activities/awards/goedel1995.html |date=4 August 2007}}.</ref>
* 1989: [[Thomas R. Cech]] (Colorado) and [[Sidney Altman]] (Yale) won the [[Nobel Prize]] in [[chemistry]] for their independent discovery in the 1980s of [[ribozyme]]s{{spaced ndash}}for the "discovery of catalytic properties of RNA"{{spaced ndash}}using different approaches. Catalytic RNA was an unexpected finding, something they were not looking for, and it required rigorous proof that there was no contaminating protein enzyme.
* 1989: [[Thomas R. Cech]] (Colorado) and [[Sidney Altman]] (Yale) won the [[Nobel Prize]] in [[chemistry]] for their independent discovery in the 1980s of [[ribozyme]]s{{spaced ndash}}for the "discovery of catalytic properties of RNA"{{spaced ndash}}using different approaches. Catalytic RNA was an unexpected finding, something they were not looking for, and it required rigorous proof that there was no contaminating protein enzyme.
* 1991: [[psychiatrist]] [[Christopher Kasparek]] proposed that [[schizophrenia]] be renamed "[[psychosis]]".<ref>[[Christopher Kasparek]], "Psychiatry and Special Interests", ''The Psychiatric Times'', February 1991, p. 6.</ref> In 2015 a similar suggestion was made by psychiatry professor [[Jim van Os]], who proposed that schizophrenia be renamed "psychotic spectrum disorder".<ref>Van Os et al, NRC Handelsblad, 2015, laten we de diagnose schizofrenie vergeten http://www.nrc.nl/handelsblad/2015/03/07/laten-we-de-diagnose-schizofrenie-vergeten-1472619</ref><ref>{{Cite journal|last=Os|first=Jim van|date=2016-02-02|title="Schizophrenia" does not exist|url=https://www.bmj.com/content/352/bmj.i375|journal=BMJ|language=en|volume=352|pages=i375|doi=10.1136/bmj.i375|issn=1756-1833|pmid=26837945|s2cid=116098585 |url-access=subscription}}</ref>
* 1993: groups led by [[Donald S. Bethune]] at IBM and [[Sumio Iijima]] at NEC independently discovered [[Carbon nanotubes#Single-walled|single-wall]] [[carbon nanotubes]] and methods to produce them using transition-metal catalysts.
* 1993: groups led by [[Donald S. Bethune]] at IBM and [[Sumio Iijima]] at NEC independently discovered [[Carbon nanotubes#Single-walled|single-wall]] [[carbon nanotubes]] and methods to produce them using transition-metal catalysts.
* 1994: The [[local average treatment effect]] (LATE) was first introduced in the econometrics literature in 1994 by [[Guido Imbens|Guido W. Imbens]] and [[Joshua Angrist|Joshua D. Angrist]],<ref>{{Cite journal |last1=Imbens |first1=Guido W. |last2=Angrist |first2=Joshua D. |date=1994 |title=Identification and Estimation of Local Average Treatment Effects |url=https://www.jstor.org/stable/2951620 |journal=Econometrica |volume=62 |issue=2 |pages=467–475 |doi=10.2307/2951620 |jstor=2951620 |issn=0012-9682}}</ref> who shared half of the [[2021 Nobel Memorial Prize in Economic Sciences]]. Stuart G. Baker and Karen S. Lindeman in 1994 <ref>{{Cite journal |last1=Baker |first1=Stuart G. |last2=Lindeman |first2=Karen S. |date=1994-11-15 |title=The paired availability design: A proposal for evaluating epidural analgesia during labor |url=https://onlinelibrary.wiley.com/doi/10.1002/sim.4780132108 |journal=Statistics in Medicine |language=en |volume=13 |issue=21 |pages=2269–2278 |doi=10.1002/sim.4780132108 |pmid=7846425 |issn=0277-6715}}</ref> independently published the LATE method for a binary outcome with the paired availability design and the key monotonicity assumption. An early version of LATE involved one-sided noncompliance (and hence no monotonicity assumption). In 1983 Baker wrote a technical report describing LATE for one-sided noncompliance that was published in 2016 in a supplement. In 1984, Bloom published a paper on LATE with one-sided compliance. A history of multiple discoveries involving LATE appears in Baker and Lindeman (2024).<ref>{{Cite journal |last1=Baker |first1=Stuart G. |last2=Lindeman |first2=Karen S. |date=2024-04-02 |title=Multiple Discoveries in Causal Inference: LATE for the Party |journal=CHANCE |language=en |volume=37 |issue=2 |pages=21–25 |doi=10.1080/09332480.2024.2348956 |pmid=38957370 |pmc=11218811 |issn=0933-2480}}</ref>
* 1998: [[Saul Perlmutter]], [[Adam G. Riess]], and [[Brian P. Schmidt]]—working as members of two independent projects, the [[Supernova Cosmology Project]] and the [[High-Z Supernova Search Team]]—simultaneously discovered in 1998 the [[accelerating universe|accelerating expansion of the universe]] through observations of distant [[supernovae]]. For this, they were jointly awarded the 2006 [[Shaw Prize]] in Astronomy and the 2011 [[Nobel Prize in Physics]].<ref name="BibcodeApSSP">{{cite journal |bibcode=1992Ap&SS.191..107P |doi=10.1007/BF00644200 |title=Inflation and compactification from Galaxy redshifts? |date=1992 |last1=Paál |first1=G. |last2=Horváth |first2=I. |last3=Lukács |first3=B. |journal=Astrophysics and Space Science |volume=191 |issue=1 |pages=107–124 |s2cid=116951785}}</ref><ref>[[Richard Panek]], "The Cosmic Surprise: Scientists discovered dark energy 25 years ago. They're still trying to figure out what it is", ''[[Scientific American]]'', vol. 329, no.5 (December 2023), pp. 62–71.</ref><ref>In regard to his "[[cosmological constant]]", "Einstein&nbsp;... blundered twice: by introducing the cosmological constant for the wrong reason [to maintain a [[static universe]], before the advent of the [[Big Bang]] theory] and again by throwing it out instead of exploring its implications [including an [[accelerating universe]]<nowiki />]." [[Lawrence M. Krauss]], "What Einstein Got Wrong: Cosmology", ''[[Scientific American]]'', vol. 313, no. 3 (September 2015), p. 55.</ref>
* 1998: [[Saul Perlmutter]], [[Adam G. Riess]], and [[Brian P. Schmidt]]—working as members of two independent projects, the [[Supernova Cosmology Project]] and the [[High-Z Supernova Search Team]]—simultaneously discovered in 1998 the [[accelerating universe|accelerating expansion of the universe]] through observations of distant [[supernovae]]. For this, they were jointly awarded the 2006 [[Shaw Prize]] in Astronomy and the 2011 [[Nobel Prize in Physics]].<ref name="BibcodeApSSP">{{cite journal |bibcode=1992Ap&SS.191..107P |doi=10.1007/BF00644200 |title=Inflation and compactification from Galaxy redshifts? |date=1992 |last1=Paál |first1=G. |last2=Horváth |first2=I. |last3=Lukács |first3=B. |journal=Astrophysics and Space Science |volume=191 |issue=1 |pages=107–124 |s2cid=116951785}}</ref><ref>[[Richard Panek]], "The Cosmic Surprise: Scientists discovered dark energy 25 years ago. They're still trying to figure out what it is", ''[[Scientific American]]'', vol. 329, no.5 (December 2023), pp. 62–71.</ref><ref>In regard to his "[[cosmological constant]]", "Einstein&nbsp;... blundered twice: by introducing the cosmological constant for the wrong reason [to maintain a [[static universe]], before the advent of the [[Big Bang]] theory] and again by throwing it out instead of exploring its implications [including an [[accelerating universe]]<nowiki />]." [[Lawrence M. Krauss]], "What Einstein Got Wrong: Cosmology", ''[[Scientific American]]'', vol. 313, no. 3 (September 2015), p. 55.</ref>


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* {{cite book |first=N. E. |last=Collinge |title=The Laws of Indo-European |url= https://archive.org/details/lawsofindoeurope0000coll |url-access=registration |location=[[Amsterdam]] |publisher=John Benjamins |date=1985 |isbn=978-0-915027-75-0 |id=(U.S.), (Europe)}}
* {{cite book |first=N. E. |last=Collinge |title=The Laws of Indo-European |url= https://archive.org/details/lawsofindoeurope0000coll |url-access=registration |location=[[Amsterdam]] |publisher=John Benjamins |date=1985 |isbn=978-0-915027-75-0 |id=(U.S.), (Europe)}}
* [[Tim Folger]], "The Quantum Hack: Quantum computers will render today's cryptographic methods obsolete. What happens then?" ''[[Scientific American]]'', vol. 314, no. 2 (February 2016), pp.&nbsp;48–55.
* [[Tim Folger]], "The Quantum Hack: Quantum computers will render today's cryptographic methods obsolete. What happens then?" ''[[Scientific American]]'', vol. 314, no. 2 (February 2016), pp.&nbsp;48–55.
* [[Sarah Lewin Frasier]] and [[Jen Christiansen]], "Nobel Connections: A deep dive into science's greatest prize", ''[[Scientific American]]'', vol. 331, no. 3 (October 2024), pp. 72–73.
* {{cite book |last1=Garey |first1=Michael R. |author1-link=Michael R. Garey |last2=Johnson |first2=David S. |author2-link=David S. Johnson |date=1979 |title=Computers and Intractability: A Guide to the Theory of NP-Completeness |publisher=W. H. Freeman |isbn=978-0-7167-1045-5 |url-access=registration |url= https://archive.org/details/computersintract0000gare}}
* {{cite book |last1=Garey |first1=Michael R. |author1-link=Michael R. Garey |last2=Johnson |first2=David S. |author2-link=David S. Johnson |date=1979 |title=Computers and Intractability: A Guide to the Theory of NP-Completeness |publisher=W. H. Freeman |isbn=978-0-7167-1045-5 |url-access=registration |url= https://archive.org/details/computersintract0000gare}}
* [[Owen Gingerich]], "Did Copernicus Owe a Debt to Aristarchus?" ''[[Journal for the History of Astronomy]]'', vol. 16, no. 1 (February 1985), pp.&nbsp;37–42. [http://articles.adsabs.harvard.edu//full/1985JHA....16...37G/0000037.000.html 1985JHA....16...37G Page 37]
* [[Owen Gingerich]], "Did Copernicus Owe a Debt to Aristarchus?" ''[[Journal for the History of Astronomy]]'', vol. 16, no. 1 (February 1985), pp.&nbsp;37–42. [http://articles.adsabs.harvard.edu//full/1985JHA....16...37G/0000037.000.html 1985JHA....16...37G Page 37]

Latest revision as of 03:17, 4 December 2024

Historians and sociologists have remarked the occurrence, in science, of "multiple independent discovery". Robert K. Merton defined such "multiples" as instances in which similar discoveries are made by scientists working independently of each other.[1] "Sometimes", writes Merton, "the discoveries are simultaneous or almost so; sometimes a scientist will make a new discovery which, unknown to him, somebody else has made years before."[2]

Commonly cited examples of multiple independent discovery are the 17th-century independent formulation of calculus by Isaac Newton, Gottfried Wilhelm Leibniz and others, described by A. Rupert Hall;[3] the 18th-century discovery of oxygen by Carl Wilhelm Scheele, Joseph Priestley, Antoine Lavoisier and others; and the theory of the evolution of species, independently advanced in the 19th century by Charles Darwin and Alfred Russel Wallace.

Multiple independent discovery, however, is not limited to such famous historic instances. Merton believed that it is multiple discoveries, rather than unique ones, that represent the common pattern in science.[4]

Merton contrasted a "multiple" with a "singleton"—a discovery that has been made uniquely by a single scientist or group of scientists working together.[5]

The distinction may blur as science becomes increasingly collaborative.[6]

A distinction is drawn between a discovery and an invention, as discussed for example by Bolesław Prus.[7] However, discoveries and inventions are inextricably related, in that discoveries lead to inventions, and inventions facilitate discoveries; and since the same phenomenon of multiplicity occurs in relation to both discoveries and inventions, this article lists both multiple discoveries and multiple inventions.

3rd century BCE

[edit]
Aristarchos

13th century CE

[edit]

14th century

[edit]
Copernicus

16th century

[edit]
Galileo
Ortelius

17th century

[edit]
Newton
Leibniz

18th century

[edit]
Scheele
Laplace

19th century

[edit]
Gauss
Faraday
Darwin
Mendeleyev
Bell
Ramón y Cajal
Cybulski
Becquerel

20th century

[edit]
Nettie Stevens
Smoluchowski
Tykociński-Tykociner
Einstein
Alexander Friedmann
Hsien Wu
Szilárd
Koprowski
Purcell
Nambu
Higgs
Schwinger
Vine
Penzias
Schally
Baltimore
Alvarez
Barré-Sinoussi
Immerman
Cocks
Wilczek
Ting
Cech
Perlmutter, Riess, Schmidt

21st century

[edit]
McDonald, Kajita
Allison
Šikšnys
Patapoutian

Quotations

[edit]

"When the time is ripe for certain things, these things appear in different places in the manner of violets coming to light in early spring."

— Farkas Bolyai to his son János Bolyai, urging him to claim the invention of non-Euclidean geometry without delay,
quoted in Ming Li and Paul Vitanyi, An introduction to Kolmogorov Complexity and Its Applications, 1st ed., 1993, p. 83.

"[Y]ou do not [make a discovery] until a background knowledge is built up to a place where it's almost impossible not to see the new thing, and it often happens that the new step is done contemporaneously in two different places in the world, independently."

— a physicist Nobel laureate interviewed by Harriet Zuckerman, in Scientific Elite: Nobel Laureates in the United States, 1977, p. 204.

"[A] man can no more be completely original ... than a tree can grow out of air."

— George Bernard Shaw, preface to Major Barbara (1905).

I never had an idea in my life. My so-called inventions already existed in the environment – I took them out. I've created nothing. Nobody does. There's no such thing as an idea being brain-born; everything comes from the outside.

See also

[edit]

Notes

[edit]
  1. ^ Priyamvada Natarajan notes that, while Le Verrier and Adams "shared credit for the discovery [of Neptune] until fairly recently ... historians of science [have] revealed that while Adams did perform some interesting calculations, his were not as precise or as accurate as Le Verrier's, and, moreover, he had not published his work, while Le Verrier had shared his predictions." Le Verrier "presented the calculated position of th[e] unseen planet [Neptune] to the French Academy of Sciences in Paris on August 31, 1846, barely two days before Adams mailed his own solution to the astronomer royal, George Airy, at the Greenwich Observatory so that his calculations could be checked. Neither Adams nor Le Verrier knew that the other had been researching Uranus's orbit." Natarajan also notes that, "Though Neptune wasn't properly identified until 1846, it had been observed much earlier.": by Galileo Galilei (1612, 1613); by Michel Lalande (8 and 10 May 1795), nephew and pupil of French astronomer Joseph-Jérôme Lalande; by Scottish astronomer John Lambert, while working at the Munich Observatory in 1845 and 1846; and by James Challis (4 and 12 August 1846).[38]

References

[edit]
  1. ^ Merton, Robert K. (December 1963). "Resistance to the Systematic Study of Multiple Discoveries in Science". European Journal of Sociology. 4 (2): 237–282. doi:10.1017/S0003975600000801. JSTOR 23998345. S2CID 145650007. Reprinted in: Merton, Robert K. (15 September 1996). On Social Structure and Science. University of Chicago Press. pp. 305–. ISBN 978-0-226-52070-4.
  2. ^ Merton, Robert K. (1973). The Sociology of Science: Theoretical and Empirical Investigations. University of Chicago Press. p. 371. ISBN 978-0-226-52092-6.
  3. ^ A. Rupert Hall, Philosophers at War, New York, Cambridge University Press, 1980.
  4. ^ Robert K. Merton, "Singletons and Multiples in Scientific Discovery: a Chapter in the Sociology of Science", Proceedings of the American Philosophical Society, 105: 470–86, 1961. Reprinted in Robert K. Merton, The Sociology of Science: Theoretical and Empirical Investigations, Chicago, University of Chicago Press, 1973, pp. 343–70.
  5. ^ Robert K. Merton, On Social Structure and Science, p. 307.
  6. ^ Sarah Lewin Frasier and Jen Christiansen, "Nobel Connections: A deep dive into science's greatest prize", Scientific American, vol. 331, no. 3 (October 2024), pp. 72–73.
  7. ^ Bolesław Prus, O odkryciach i wynalazkach (On Discoveries and Inventions): A Public Lecture Delivered on 23 March 1873 by Aleksander Głowacki [Bolesław Prus], Passed by the [Russian] Censor (Warsaw, 21 April 1873), Warsaw, Printed by F. Krokoszyńska, 1873, p. 12.
  8. ^ Owen Gingerich, "Did Copernicus Owe a Debt to Aristarchus?" Journal for the History of Astronomy, vol. 16, no. 1 (February 1985), pp. 37–42. [1]
  9. ^ Dava Sobel, A More Perfect Heaven: How Copernicus Revolutionized the Cosmos, New York, Walker & Company, 2011, ISBN 978-0-8027-1793-1, pp. 18–19, 179–82.
  10. ^ "Copernicus seems to have drawn up some notes [on the displacement of good coin from circulation by debased coin] while he was at Olsztyn in 1519. He made them the basis of a report on the matter, written in German, which he presented to the Prussian Diet held in 1522 at Grudziądz .... He later drew up a revised and enlarged version of his little treatise, this time in Latin, and setting forth a general theory of money, for presentation to the Diet of 1528." Angus Armitage, The World of Copernicus, 1951, p. 91.
  11. ^ Αριστοφάνης. "Βάτραχοι". Βικιθήκη. Retrieved 19 April 2013.
  12. ^ a b Cappi, Alberto (1994). "Edgar Allan Poe's Physical Cosmology". Quarterly Journal of the Royal Astronomical Society. 35: 177–192. Bibcode:1994QJRAS..35..177C.
  13. ^ * Rombeck, Terry (22 January 2005). "Poe's little-known science book reprinted". Lawrence Journal-World & News.
  14. ^ Marilynne Robinson, "On Edgar Allan Poe", The New York Review of Books, vol. LXII, no. 2 (5 February 2015), pp. 4, 6.
  15. ^ Romm, James (3 February 1994), "A New Forerunner for Continental Drift", Nature, 367 (6462): 407–408, Bibcode:1994Natur.367..407R, doi:10.1038/367407a0, S2CID 4281585.
  16. ^ a b Schmeling, Harro (2004). "Geodynamik" (PDF) (in German). University of Frankfurt.
  17. ^ Wallace, Alfred Russel (1889), "12", Darwinism ..., Macmillan, p. 341
  18. ^ Lyell, Charles (1872), Principles of Geology ... (11th ed.), John Murray, p. 258
  19. ^ Coxworthy, Franklin (1924). Electrical Condition; Or, How and where Our Earth was Created. J. S. Phillips. Retrieved 6 December 2014.
  20. ^ Pickering, W. H (1907), "The Place of Origin of the Moon – The Volcani Problems", Popular Astronomy, 15: 274–287, Bibcode:1907PA.....15..274P,
  21. ^ Bursley Taylor, Frank (3 June 1910). "Bearing of the Tertiary mountain belt on the origin of the earth's plan". Bulletin of the Geological Society of America. 21 (1): 179–226. Bibcode:1910GSAB...21..179T. doi:10.1130/GSAB-21-179.
  22. ^ Wegener, Alfred (6 January 1912), "Die Herausbildung der Grossformen der Erdrinde (Kontinente und Ozeane), auf geophysikalischer Grundlage" (PDF), Petermanns Geographische Mitteilungen, 63: 185–195, 253–256, 305–309, archived from the original (PDF) on 4 October 2011.
  23. ^ Eduard Suess, Das Antlitz der Erde (The Face of the Earth), vol. 1 (Leipzig, (Germany): G. Freytag, 1885), page 768. From p. 768: "Wir nennen es Gondwána-Land, nach der gemeinsamen alten Gondwána-Flora, … " (We name it Gondwána-Land, after the common ancient flora of Gondwána ... )
  24. ^ Suess, Edward (March 1893). "Are ocean depths permanent?". Natural Science: A Monthly Review of Scientific Progress. 2: 180–187 – via Google Books. This ocean we designate by the name 'Tethys', after the sister and consort of Oceanus. The latest successor of the Tethyan Sea is the present Mediterranean.
  25. ^ Perry, John (1895). "On the age of the earth". Nature. 51: 224–227, 341–342, 582–585 – via Hathi Trust.
  26. ^ Roger Penrose, The Road to Reality, Vintage Books, 2005, p. 103.
  27. ^ Thomas S. Kuhn, The Structure of Scientific Revolutions, Chicago, The University of Chicago Press, 1996, p. 17.
  28. ^ Vladimir D. Shiltsev, "Nov. 19, 1771: Birth of Mikhail Lomonosov, Russia's first modern scientist", APS [American Physical Society] News, November 2011 (vol. 20, no. 10) [2].
  29. ^ Anirudh, "10 Major Contributions of Antoine Lavoisier", 17 October 2017 [3].
  30. ^ "MICHAEL SENDIVOGIUS, ROSICRUCIAN, and FATHER OF STUDIES OF OXYGEN" (PDF).
  31. ^ Alan Ellis, "Black Holes – Part 1 – History", Astronomical Society of Edinburgh, Journal 39, 1999 Archived 6 October 2017 at the Wayback Machine. A description of Michell's theory of black holes.
  32. ^ a b Stephen Hawking, A Brief History of Time, Bantam, 1996, pp. 43–45.
  33. ^ "Hong's essential insight is the same as Malthus's". Wm Theodore de Bary, Sources of East Asian Tradition, vol. 2: The Modern Period, New York, Columbia University Press, 2008, p. 85.
  34. ^ Roger Penrose, The Road to Reality, Vintage Books, 2005, p. 81.
  35. ^ Gauss, Carl Friedrich, "Nachlass: Theoria interpolationis methodo nova tractata", Werke, Band 3, Göttingen, Königliche Gesellschaft der Wissenschaften, 1866, pp. 265–327.
  36. ^ Heideman, M. T., D. H. Johnson, and C. S. Burrus, "Gauss and the history of the fast Fourier transform", Archive for History of Exact Sciences, vol. 34, no. 3 (1985), pp. 265–277.
  37. ^ Halliday et al., Physics, vol. 2, 2002, p. 775.
  38. ^ a b Priyamvada Natarajan, "In Search of Planet X" (review of Dale P. Cruikshank and William Sheehan, Discovering Pluto: Exploration at the Edge of the Solar System, University of Arizona Press, 475 pp.; Alan Stern and David Grinspoon, Chasing New Horizons: Inside the Epic First Mission to Pluto, Picador, 295 pp.; and Adam Morton, Should We Colonize Other Planets?, Polity, 122 pp.), The New York Review of Books, vol. LXVI, no. 16 (24 October 2019), pp. 39–41. (p. 39.)
  39. ^ "Aug. 18, 1868: Helium Discovered During Total Solar Eclipse", https://www.wired.com/thisdayintech/2009/08/dayintech_0818/
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Bibliography

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