Mathematical Theorems Quotes

I accept no principles of physics which are not also accepted in mathematics.

Euclid alone Has looked on Beauty bare. Fortunate they Who, though once only and then but far away, Have heard her massive sandal set on stone.

There is a theorem that colloquially translates, You cannot comb the hair on a bowling ball. ... Clearly, none of these mathematicians had Afros, because to comb an Afro is to pick it straight away from the scalp. If bowling balls had Afros, then yes, they could be combed without violation of mathematical theorems.

A mathematical equation stands forever.

This splendid subject [mathematics], queen of all exact sciences, and the ideal and norm of all careful thinking.

Mathematics is the queen of the sciences.

I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not yet occurred to me, by other mathematicians, now living or yet unborn.

I have found a very great number of exceedingly beautiful theorems.

Abel has left mathematicians enough to keep them busy for 500 years.

How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!

Analysis takes back with one hand what it gives with the other. I recoil in fear and loathing from that deplorable evil: continuous functions with no derivatives.

If all sentient beings in the universe disappeared, there would remain a sense in which mathematical objects and theorems would continue to exist even though there would be no one around to write or talk about them. Huge prime numbers would continue to be prime, even if no one had proved them prime.

Mathematics commands all my respect, but I have no use for engines.

Theorems often tell us complex truths about the simple things, but only rarely tell us simple truths about the complex ones. To believe otherwise is wishful thinking or "mathematics envy."