Logic Quote by Satoshi Kanazawa

“It is an unfortunate fact that proofs can be very misleading. Proofs exist to establish once and for all, according to very high standards,…

— Herbert S. Gaskill

To exist (in mathematics), said Henri Poincaré, is to be free from contradiction. But mere existence does not guarantee survival. To survive in mathematics…

— Mark Kac

With the exception of the geometrical series, there does not exist in all of mathematics a single infinite series the sum of which has…

— Niels Henrik Abel

I read one or two other books which gave me a background in mathematics other than logic.

— Stephen Cole Kleene

Language is remarkable, except under the extreme constraints of mathematics and logic, it never can talk only about what it's supposed to talk about…

— Howard Nemerov

Mathematics and logic have been proved to be one; a fact from which it seems to follow that mathematics may successfully deal with non-quantitative…

— Alfred Korzybski

All proofs inevitably lead to propositions which have no proof! All things are known because we want to believe in them.

— Frank Herbert

I always rewrite each day up to the point where I stopped. When it is all finished, naturally you go over it. You get…

— Ernest Hemingway

Believers who have formulated such proofs [for God's existence] ... would never have come to believe as a result of such proofs

— Ludwig Wittgenstein

Mathematics does not grow through a monotonous increase of the number of indubitably established theorems but through the incessant improvement of guesses by speculation…

— Imre Lakatos

Without computers we will be stuck only proving theorems that have short proofs.

— Kenneth Appel

Logic is the science of the laws of thought, as thought,--that is of the necessary conditions to which thought considered in itself is a…

— Sir William Hamilton, 9th Baronet