Conjecture Quote by Atle Selberg

The greatest unsolved theorem in mathematics is why some people are better at it than others.

— Adrian Mathesis

A mathematician experiments, amasses information, makes a conjecture, finds out that it does not work, gets confused and then tries to recover. A good…

— Steven G. Krantz

My reasons are the same as for any mathematical conjecture: (1) It is a legitimate mathematical possibility, and (2) I do not know.

— Jack Edmonds

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

A peculiarity of the higher arithmetic is the great difficulty which has often been experienced in proving simple general theorems which had been suggested…

— Harold Davenport

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

— Michael Atiyah

In many cases a dull proof can be supplemented by a geometric analogue so simple and beautiful that the truth of a theorem is…

— Martin Gardner

“The popular view that scientists proceed inexorably from well-established fact to well-established fact, never being influenced by any unproved conjecture, is quite mistaken. Provided…

— Andrew Hodges

It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success, did not leave us with…

— Adrien-Marie Legendre

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

— Edward Charles Titchmarsh

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

— Rene Thom

One cannot really argue with a mathematical theorem.

— Stephen Hawking