René Descartes quote: “But in my opinion, all things in nature occur mathematically.”

“With me, everything turns into mathematics.
More closely translated as: but in my opinion, all things in nature occur mathematically.”
Mais apud me omnia fiunt Mathematicè in Natura

René Descartes (1596–1650) French philosopher, mathematician, and scientist

""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

“In my opinion, besides science, language and mathematics, perhaps tolerance is the most important thing that should be taught in schools nowadays.”

Titon Rahmawan

“The smallest natural point is larger than all mathematical points, and this is proved because the natural point has continuity, and any thing that is continuous is infinitely divisible; but the mathematical point is indivisible because it has no size.”

Leonardo Da Vinci (1452–1519) Italian Renaissance polymath

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

“Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.”

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.

“I realize that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.”

Georg Cantor (1845–1918) mathematician, inventor of set theory

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

“In mathematical quarters, the regular division of the plane has been considered theoretically... Does this mean that it is an exclusively mathematical question? In my opinion, it does not. [Mathematicians] have opened the gate leading to an extensive domain, but they have not entered this domain themselves. By their very nature they are more interested in the way in which the gate is opened than in the garden lying behind it.”

M. C. Escher (1898–1972) Dutch graphic artist

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

“I maintain that in every special natural doctrine only so much science proper is to be met with as mathematics; for… science proper, especially of nature, requires a pure portion, lying at the foundation of the empirical, and based upon à priori knowledge of natural things. …the conception should be constructed. But the cognition of the reason through construction of conceptions is mathematical. A pure philosophy of nature in general, namely, one that only investigates what constitutes a nature in general, may thus be possible without mathematics; but a pure doctrine of nature respecting determinate natural things (corporeal doctrine and mental doctrine), is only possible by means of mathematics; and as in every natural doctrine only so much science proper is to be met with therein as there is cognition à priori, a doctrine of nature can only contain so much science proper as there is in it of applied mathematics.”

Immanuel Kant book Metaphysical Foundations of Natural Science

Preface, Tr. https://books.google.com/books?id=OCJLAAAAMAAJ Ernest Belfort Bax (1883)
Metaphysical Foundations of Natural Science (1786)

Benoît Mandelbrot (1924–2010) Polish-born, French and American mathematician

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.

“The most fruitful and natural exercise for our minds is, in my opinion, conversation.”

Michel De Montaigne (1533–1592) (1533-1592) French-Occitan author, humanistic philosopher, statesman

Source: The Essays: A Selection

“And this is without time, that is to say, without before or after in an eternal present, for in the embrace in unity all things have been consummated. And in the out-flowing of love all things are being achieved. And in the living fruitful nature all things have the potentiality to occur, for in the living fruitful nature the Son is in the Father and the Father in the Son, and the Holy Spirit in them both. For it is a living and fruitful unity which is the source And the fount of all life.”

John Ruysbroeck (1293–1381) Flemish mystic

The Little Book of Enlightenment (c. 1364)

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

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René Descartes 47

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