Favorite Quotes

In no particular order!

The mind is not a vessel to be filled but a fire to be kindled. –Plutarch

One can always reason with reason. –Heri Bergson

No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful. –George Boole

The essence of mathematics is its freedom. –Georg Cantor

In mathematics the art of proposing a question must be held of higher value than solving it. –Georg Cantor

Dubito, ergo cogito, ergo sum. –René Descartes

I would rather discover one scientific fact than become King of Persia. –Democritus

Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician. –FL Gottlob Frege

Either mathematics is too big for the human mind or the human mind is more than a machine. –Kurt Gödel

A consistency proof for [any] system can be carried out only by means of modes of inference that are not formalized in the system itself. –Kurt Gödel

Practical application is found by not looking for it, and one can say that the whole progress of civilization rests on that principle. –Hadamard

To parents who despair because their children are unable to master the first problems in arithmetic I can dedicate my examples. For, in arithmetic, until the seventh grade I was last or nearly last. –Hadamard

In most sciences one generation tears down what another has built, and what one has established, another undoes. In Mathematics alone each generation adds a new storey to the old structure. –Hermann Hankel

I have tried to avoid long numerical computations, thereby following Riemann’s postulate that proofs should be given through ideas and not voluminous computations. –David Hilbert

The infinite! No other question has ever moved so profoundly the spirit of man. –David Hilbert

If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven? –David Hilbert

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