Doe Quote by Ludwig Wittgenstein

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

— Ludwig Wittgenstein

I Once wrote: "In mathematics process and result are equivalent."

— Ludwig Wittgenstein

Proof is an idol before which the mathematician tortures himself.

— Arthur Eddington

What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the…

— Timothy Gowers

In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But, at…

— Michael Atiyah

There was, I think, a feeling that the best science was that done in the simplest way. In experimental work, as in mathematics, there…

— John Ashworth Ratcliffe

Proofs exist only in mathematics and logic, not in science.

— Satoshi Kanazawa

The proof given by Wright, that non-adaptive differentiation will occur in small populations owing to "drift," or the chance fixation of some new mutation…

— Julian Huxley

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

“Proof is the idol before whom the pure mathematician tortures himself.”

— Anonymous

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

— Kenneth Appel

“[...] provability is a weaker notion than truth”

— Douglas R. Hofstadter