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



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


The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can neither move nor think. This is the hogtie, and it is what Euclid did to geometry.


Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust upon him should try to get along without it for a week.


If a lunatic scribbles a jumble of mathematical symbols it does not follow that the writing means anything merely because to the inexpert eye it is indistinguishable from higher mathematics.
