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

The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes.

God's existence needs to be established independently before he can be brought into account for causation; it cannot be assumed at the start.

The pursuit of pretty formulas and neat theorems can no doubt quickly degenerate into a silly vice, but so can the quest for austere generalities which are so very general indeed that they are incapable of application to any particular.

Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness.

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