„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.“

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

Poslední aktualizace 22. května 2020. Historie
Georg Cantor foto
Georg Cantor1
matematik, autor teorie množin 1845 - 1918

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„I shall here present the view that numbers, even whole numbers, are words, parts of speech, and that mathematics is their grammar.“

—  Carl Eckart American physicist 1902 - 1973

Numbers were therefore invented by people in the same sense that language, both written and spoken, was invented. Grammar is also an invention. Words and numbers have no existence separate from the people who use them. Knowledge of mathematics is transmitted from one generation to another, and it changes in the same slow way that language changes. Continuity is provided by the process of oral or written transmission.
Zdroj: Our Modern Idol: Mathematical Science (1984), p. 95.

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„That logic, as a science, is susceptible of very wide applications is admitted; but it is equally certain that its ultimate forms and processes are mathematical.“

—  George Boole English mathematician, philosopher and logician 1815 - 1864

Zdroj: 1850s, An Investigation of the Laws of Thought (1854), p. 12; Cited in: William Stanley Jevons (1887) The Principles of Science: : A Treatise on Logic and Scientific Method. p. 155

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„It is true that M. Fourier had the opinion that the principal end of mathematics was the public utility and the explanation of natural phenomena; but such a philosopher as he is should have known that the unique end of science is the honor of the human mind, and that from this point of view a question of number is as important as a question of the system of the world.“

—  Carl Gustav Jacob Jacobi German mathematician 1804 - 1851

Letter to Legendre (July 2, 1830) in response to Fourier's report to the Paris Academy Science that mathematics should be applied to the natural sciences, as quoted in Science (March 10, 1911) Vol. 33 https://books.google.com/books?id=4LU7AQAAMAAJ&pg=PA359, p.359, with additional citations and dates from H. Pieper, "Carl Gustav Jacob Jacobi," Mathematics in Berlin (2012) p.46

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„With me, everything turns into mathematics.
More closely translated as: but in my opinion, all things in nature occur mathematically.“

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

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

„As far as the use of mathematics in economics is concerned, there is an abundance of formulas where such are not needed. They are frequently introduced, one fears, in order to show off. The more difficult the mathematical theorem, the more esoteric the name of the mathematician quoted, the better.“

—  Oskar Morgenstern austrian economist 1902 - 1977

Oskar Morgenstern, " Limits of the Use of Mathematics in Economics https://www.princeton.edu/~erp/ERParchives/archivepdfs/M49.pdf," in: James C. Charlesworth (Hg.), Mathematics and the Social Science. The Utility and Inutility of Mathematics in the Study of Economics, Political Sciences and Sociology, Philadelphia 1963, S. 12-29, hier S. 18.

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„To emphasize only the beautiful seems to me to be like a mathematical system that only concerns itself with positive numbers.“

—  Paul Klee German Swiss painter 1879 - 1940

Diary entry (March 1906), # 759, in The Diaries of Paul Klee, 1898-1918; University of California Press, 1968
1903 - 1910

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„The romantic view of the natural world as a blissful Eden is only held by people who have no actual experience of nature.“

—  Michael Crichton American author, screenwriter, film producer 1942 - 2008

Environmentalism as a Religion (2003)
Kontext: The romantic view of the natural world as a blissful Eden is only held by people who have no actual experience of nature. People who live in nature are not romantic about it at all. They may hold spiritual beliefs about the world around them, they may have a sense of the unity of nature or the aliveness of all things, but they still kill the animals and uproot the plants in order to eat, to live. If they don't, they will die.

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„Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Etiam egestas wisi a erat. Morbi imperdiet, mauris ac auctor dictum.“