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 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.
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.
[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.