Computers Quote by Hermann Weyl

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

— Satoshi Kanazawa

Mathematics consists in proving the most obvious thing in the least obvious way.

— George Polya

Mathematical proofs, like diamonds, are hard and clear, and will be touched with nothing but strict reasoning.

— John Locke

Many of the proofs in mathematics are very long and intricate. Others, though not long, are very ingeniously constructed.

— Edward Charles Titchmarsh

If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book ... it may give the youngsters the…

— George Polya

The development of mathematics towards greater precision has led, as is well known, to the formalization of large tracts of it, so that one…

— Kurt Gödel

It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed…

— Andrew Wiles

I believe that proving is not a natural activity for mathematicians.

— Rene Thom

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

— Kenneth Appel

“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

One of the central developments of 19th century mathematics involved a dramatic increase in the standards of mathematical rigor. This was for a variety…

— Richard F. Heck

Mathematicians need proofs to keep them honest. All technical areas of human activity need reality checks. It is not enough to believe that something…

— Ian Stewart