The so-called Pythagoreans, who were the first to take up mathematics, not only advanced this subject, but saturated with it, they fancied that the principles of mathematics were the principles of all things.
Metaphysica 1-5
Loci: Convergence
Mathematical Quotations
Our library of quotations is organized alphabetically by surname of the author.
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Valery, Paul (1871 - 1945)
In the physical world, one cannot increase the size or quantity of anything without changing its quality. Similar figures exist only in pure geometry.
van Vleck, E. B.
This new integral of Lebesgue is proving itself a wonderful tool. I might compare it with a modern Krupp gun, so easily does it penetrate barriers which were impregnable.
Veblen, Thorstein (1857-1929)
The outcome of any serious research can only be to make two questions grow where only one grew before.
Veblen, Thorstein (1857-1929)
Invention is the mother of necessity.
Voltaire (1694-1778)
Vous avez trouve par
de long ennuis
Ce que Newton
trouva sans sortir
de chez
lui.
(You have
found with much
trouble
What
Newton found without
leaving his
home.)
[Written
to La Condamine
after his
measurement of the
equator.]
Voltaire (1694-1778)
He who has heard the same thing told by 12,000 eye-witnesses has only 12,000 probabilities, which are equal to one strong probability, which is far from certain.
Voltaire (1694-1778)
There are no sects in geometry.
von Neumann, John (1903 - 1957)
In mathematics you don't understand things. You just get used to them.
John von Neumann
The calculus was the first achievement of modern mathematics, and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking.
John von Neumann
Truth is much too complicated to allow anything but approximations.
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