Analysis Quote by 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

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

Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.

— Anonymous

I was interviewed on the Israeli radio for five minutes and I said that more than 2000 years ago, Euclid proved that there are…

— Noga Alon

The primes are the raw material out of which we have to build arithmetic, and Euclid's theorem assures us that we have plenty of…

— G. H. Hardy

All results of the profoundest mathematical investigation must ultimately be expressible in the simple form of properties of the integers.

— Leopold Kronecker

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

— Edward Charles Titchmarsh

“ Euclid 's Elements has been for nearly twenty-two centuries the encouragement and guide of that scientific thought which is one thing with the…

— William Kingdon Clifford

“Yet there have been and still are mathematicians and philosophers who doubt whether the whole universe, or to speak more widely, the whole of…

— Fyodor Dostoyevsky

The infinite in mathematics is alway unruly unless it is properly treated.

— James Newman

Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there…

— Andrew Wiles

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

— John Locke