British Mathematician Quotes
We behold indeed, in the motions of the celestial bodies, some effects of [the attraction] that may be call'd more august or pompous. But methinks these little hyperbolas, form'd by a fluid between two glass planes, are not a-whit less fine and curious than the spacious ellipses describ'd by the planets, in the bright expanse of Heaven.
Proof, being the highest level of reproduction activity, has an important interiorization aspect: as Yuri Manin stresses in his book Provable and Unprovable, a proof becomes such only after it is accepted (as the result of a highly rigorous process)... Manin describes the act of acceptance as a social act; however, the importance of its personal, psychological component can hardly be overestimated.
Mathematics often owes more to those who ask questions than to those who answer them. The solution of a problem may stifle interest in the area around it. But "Fermat's Last Theorem", because it is not yet a theorem, has generated a great deal of "good" mathematics, whether goodness is judged by beauty, by depth or by applicability.