It is commonly, but erroneously, believed that it is easy to ask questions. A fool, it is said, can ask questions that a wise man cannot answer. The ….

The validity of mathematical propositions is independent of the actual world-the world of existing subject-matters-is logically prior to it, and woul….

The present is no more exempt from the sneer of the future than the past has been..

If people would stop objectifying abstractions (which they probably never will), or if they would stop objectifying the abstractions they make consci….

Mathematics, even in its present and most abstract state, is not detached from life. It is just the ideal handling of the problems of life..

The next-most difficult thing in the world is to get perspective. The most difficult is to keep it..

[The] humanization of mathematical teaching, the bringing of the matter and the spirit of mathematics to bear not merely upon certain fragmentary fac….

Absolute certainty is a privilege of uneducated minds and fanatics. - It is, for scientific folk, an unattainable ideal..

The pursuit of excellence is the proper vocation of man..

If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics has given mankind a….

Mathematics is, in many ways, the most precious response that the human spirit has made to the call of the infinite..