In mathematics you don't understand things. You just get used to them.

In mathematics you don't understand things. You just get used to them.

In G. Zukav, The
Dancing Wu Li
Masters.

In the physical world, one cannot increase the size or quantity of anything without changing its quality. Similar figures exist only in pure geometry.

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.

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

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.

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.]

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.