# Mathematical Quotations -- V

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**Valéry, 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 Lebesque is proving itself a wonderful tool. I might
compare it with a modern Krupp gun, so easily does it penetrate barriers
which were impregnable.

*Bulletin of the
American Mathematical Society*, vol. 23, 1916.

**Veblen, Thorstein (1857-1929)**

The outcome of any serious research can only be to make two questions
grow where only one grew before.

*The Place of Science in Modern Civilization and Other Essays.*

Invention is the mother of necessity.

J. Gross, *The Oxford Book of Aphorisms,* Oxford: Oxford University
Press, 1983.

** Voltaire (1694-1778)**

Vous avez trouve par de long ennuis

Ce que Newton trouva sans sortir de chez lui.

[Written to La Condamine after his measurement of the equator.]

In J. R. Newman (ed.) *The World of Mathematics*, New York: Simon and Schuster, 1956.

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.

In J. R. Newman (ed.) *The World of Mathematics*, New York: Simon and Schuster, 1956.

There are no sects in geometry.

W. H. Auden and L. Kronenberger (eds.) *The Viking Book of Aphorisms*, New York: Viking Press, 1962.

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