### „But in my opinion, all things in nature occur mathematically.“

— René Descartes French philosopher, mathematician, and scientist 1596 - 1650

More closely translated as: but in my opinion, all things in nature occur mathematically.“

""Mais"" is French for ""but"" and the ""but in my opinion"" comes from the context of the original conversation. apud me omnia fiunt Mathematicè in Natura is in latin.

Sometimes the Latin version is incorrectly quoted as Omnia apud me mathematica fiunt.

Sources: Correspondence with Mersenne http://fr.wikisource.org/wiki/Page%3aDescartes_-_%C5%92uvres,_%C3%A9d._Adam_et_Tannery,_III.djvu/48 note for line 7 (1640), page 36, Die Wiener Zeit http://books.google.com/books?id=9Xh3fVZLCycC&pg=PA532&lpg=PA532&dq=%22Omnia+apud+me+mathematica+fiunt%22+original+zitat&source=bl&ots=CgQOrveRiM&sig=WFHwIK20r5vRZ66FwCaxo857LCU&hl=de&sa=X&ei=_Wf2UcHlJYbfsgaf1IHABg#v=onepage&q=%22Omnia%20apud%20me%20mathematica%20fiunt%22%20original%20zitat&f=false page 532 (2008); StackExchange Math Q/A Where did Descartes write... http://math.stackexchange.com/questions/454599/where-did-descartes-write-with-me-everything-turns-into-mathematics?noredirect=1#comment978229_454599

Original: (la) Mais apud me omnia fiunt Mathematicè in Natura

— René Descartes French philosopher, mathematician, and scientist 1596 - 1650

— René Descartes French philosopher, mathematician, and scientist 1596 - 1650

Mais apud me omnia fiunt Mathematicè in Natura More closely translated as: but in my opinion, all things in nature occur mathematically. Note: "Mais" is French for "but" and the "but in my opinion" comes from the context of the original conversation. apud me omnia fiunt Mathematicè in Natura is in latin. Sometimes the Latin version is incorrectly quoted as Omnia apud me mathematica fiunt. Sources: Correspondence with Mersenne http://fr.wikisource.org/wiki/Page%3aDescartes_-_%C5%92uvres,_%C3%A9d._Adam_et_Tannery,_III.djvu/48 note for line 7 (1640), page 36, Die Wiener Zeit http://books.google.com/books?id=9Xh3fVZLCycC&pg=PA532&lpg=PA532&dq=%22Omnia+apud+me+mathematica+fiunt%22+original+zitat&source=bl&ots=CgQOrveRiM&sig=WFHwIK20r5vRZ66FwCaxo857LCU&hl=de&sa=X&ei=_Wf2UcHlJYbfsgaf1IHABg#v=onepage&q=%22Omnia%20apud%20me%20mathematica%20fiunt%22%20original%20zitat&f=false page 532 (2008); StackExchange Math Q/A Where did Descartes write... http://math.stackexchange.com/questions/454599/where-did-descartes-write-with-me-everything-turns-into-mathematics?noredirect=1#comment978229_454599

— Doron Zeilberger Israeli mathematician 1950

The Narrow-Minded and Ignorant Referee's Report [and Zeilberger's Response] of Zeilberger's Paper "Automaric CounTilings" that was rejected by Helene Barcelo and the Members of the Advisory Board [that includes(!) Enumeration Expert Mireille Bousquet-Melou] of the Journal of Combinatorial Theory-Series A. http://www.math.rutgers.edu/~zeilberg/RefTipesh.html

— Leonardo Da Vinci Italian Renaissance polymath 1452 - 1519

The Notebooks of Leonardo da Vinci (1883), II Linear Perspective

— M. C. Escher Dutch graphic artist 1898 - 1972

Quote of Escher, from his essay on Tessellation 1957; as cited by Tony Thomas, in 'The Strange Worlds of M C Escher' http://www.escapeintolife.com/essays/the-strange-worlds-of-m-c-escher/

1950's

— Pierre Deligne mathematician 1944

Pierre Deligne in: Philip Ball. "Mathematician wins award for shaping algebra: 2013 Abel Prize goes to Belgian Pierre Deligne, who proved a deep conjecture about algebra and geometry." in Nature, 20 March 2013

— Georg Christoph Lichtenberg German scientist, satirist 1742 - 1799

As quoted in Lichtenberg : A Doctrine of Scattered Occasions (1959) by Joseph Peter Stern, p. 84

Context: All mathematical laws which we find in Nature are always suspect to me, in spite of their beauty. They give me no pleasure. They are merely auxiliaries. At close range it is all not true.

— Morris Kline American mathematician 1908 - 1992

Source: Mathematical Thought from Ancient to Modern Times (1972), p. 495

— John Leland (Baptist) American Baptist minister 1754 - 1841

The Rights of Conscience Inalienable (1791)

Context: Government has no more to do with the religions opinions of men, than it has with the principles of mathematics. Let every man speak freely without fear, maintain the principles that he believes, worship according to his own faith, either one God, three Gods, no God, or twenty Gods; and let government protect him in so doing, i. e., see that he meets with no personal abuse, or loss of property, from his religious opinions. (p. 184)

— Euclid Greek mathematician, inventor of axiomatic geometry -323 - -285 BC

The earliest published source found on google books that attributes this to Euclid is A Mathematical Journey by Stanley Gudder (1994), p. xv http://books.google.com/books?id=UiOxd2-lfGsC&q=%22mathematical+thoughts%22+euclid#search_anchor. However, many earlier works attribute it to Johannes Kepler, the earliest located being in the piece "The Mathematics of Elementary Chemistry" by Principal J. McIntosh of Fowler Union High School in California, which appeared in School Science and Mathematics, Volume VII ( 1907 http://books.google.com/books?id=kAEUAAAAIAAJ&pg=PR3#v=onepage&q&f=false), p. 383 http://books.google.com/books?id=kAEUAAAAIAAJ&pg=PA383#v=onepage&q&f=false. Neither this nor any other source located gives a source in Kepler's writings, however, and in an earlier source, the 1888 Notes and Queries, Vol V., it is attributed on p. 165 http://books.google.com/books?id=0qYXAQAAMAAJ&pg=PA165#v=onepage&q&f=false to Plato. It could possibly be a paraphrase of either or both of the following to comments in Kepler's 1618 book Harmonices Mundi (The Harmony of the World)': "Geometry is one and eternal shining in the mind of God" and "Since geometry is co-eternal with the divine mind before the birth of things, God himself served as his own model in creating the world".

Misattributed

— Johannes Kepler German mathematician, astronomer and astrologer 1571 - 1630

Attributed to Kepler in some sources (though more recent sources often attribute it to Euclid), such as Mathematically Speaking: A Dictionary of Quotations edited by Carl C. Gaither and Alma E. Cavazos-Gaither (1998), p. 214 http://books.google.com/books?id=4abygoxLdwQC&lpg=PP1&pg=PA214#v=onepage&q&f=false. The earliest publication located that attributes the quote to Kepler is the piece "The Mathematics of Elementary Chemistry" by Principal J. McIntosh of Fowler Union High School in California, which appeared in School Science and Mathematics, Volume VII ( 1907 http://books.google.com/books?id=kAEUAAAAIAAJ&pg=PR3#v=onepage&q&f=false), p. 383 http://books.google.com/books?id=kAEUAAAAIAAJ&pg=PA383#v=onepage&q&f=false. Neither this nor any other source located gives a source in Kepler's writings, however, and in an earlier source, the 1888 Notes and Queries, Vol V., it is attributed on p. 165 http://books.google.com/books?id=0qYXAQAAMAAJ&pg=PA165#v=onepage&q&f=false to Plato. Expressions that relate geometry to the divine "mind of God" include comments in the Harmonices Mundi, e.g., "Geometry is one and eternal shining in the mind of God", and "Since geometry is co-eternal with the divine mind before the birth of things, God himself served as his own model in creating the world".

Disputed quotes

— David Hilbert, Mathematical Problems

Mathematical Problems (1900)

Context: Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts. For with all the variety of mathematical knowledge, we are still clearly conscious of the similarity of the logical devices, the relationship of the ideas in mathematics as a whole and the numerous analogies in its different departments. We also notice that, the farther a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separate branches of the science. So it happens that, with the extension of mathematics, its organic character is not lost but only manifests itself the more clearly.

— Benoît Mandelbrot Polish-born, French and American mathematician 1924 - 2010

Source: The (Mis)Behavior of Markets (2004, 2008), Ch. 7, p. 125

Context: Contrary to popular opinion, mathematics is about simplifying life, not complicating it. A child learns a bag of candies can be shared fairly by counting them out: That is numeracy. She abstracts that notion to dividing a candy bar into equal pieces: arithmetic. Then, she learns how to calculate how much cocoa and sugar she will need to make enough chocolate for fifteen friends: algebra.

— David Hilbert, Mathematical Problems

Mathematical Problems (1900)

— Georg Cantor mathematician, inventor of set theory 1845 - 1918

Grundlagen einer allgemeinen Mannigfaltigkeitslehre [Foundations of a General Theory of Aggregates] (1883)

— Rudolf Carnap German philosopher 1891 - 1970

Rudolf Carnap (1939; 51), as cited in: Paul van Ulsen. Wetenschapsfilosofie http://www.illc.uva.nl/Research/Publications/Inaugurals/IV-10-Arend-Heyting.text.pdf, 6 november 2017.

— John D. Barrow British scientist 1952

New Theories of Everything (2007)

— George Frederick James Temple British mathematician 1901 - 1992

100 Years of Mathematics: a Personal Viewpoint (1981)

— Alfred Marshall British economist 1842 - 1924

Letter to A.L. Bowley, 27 February 1906, cited in: David L. Sills, Robert King Merton, Social Science Quotations: Who Said What, When, and Where http://books.google.com/books?id=WIKQbew5YKcC&pg=PA151 Transaction Publishers, 2000. p. 151.