Argument Quote by Anonymous

Euclid 's manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the conclusion, is perfect for checking…

— George Polya

It is shocking that young people should be addling their brains over mere logical subtleties in Euclid's Elements, trying to understand the proof of…

— Oliver Heaviside

Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study…

— Lucio Russo

Euclid avoids it [the treatment of the infinite]; in modern mathematics it is systematically introduced, for only then is generality obtained.

— Arthur Cayley

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

— Rene Thom

...we are entitled to make almost any reasonable assumption, but should resist making conclusions until evidence requires that we do so.

— Steve Allen

You cannot reach a correct conclusion if you begin with an incorrect assumption

— Herbert W. Armstrong

The problem with assumptions is that we believe they are the truth.

— Miguel Angel Ruiz

Assumptions are usually presumptuous but often correct.

— Walter Darby Bannard

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

— John Locke

We move from more or less plausible but really arbitrary assumptions, to elegantly demonstrated but irrelevant conclusions.

— Wassily Leontief

Any good theorem should have several proofs, the more the better.

— Michael Atiyah