Mathematics, even in its present and most abstract state, is not detached from life. It is just the ideal handling of the… — Cassius Jackson Keyser Copy Share Image
If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics… — Cassius Jackson Keyser Copy Share Image
Absolute certainty is a privilege of uneducated minds and fanatics. - It is, for scientific folk, an unattainable ideal. — Cassius Jackson Keyser Copy Share Image
Mathematics is, in many ways, the most precious response that the human spirit has made to the call of the infinite. — Cassius Jackson Keyser Copy Share Image
The validity of mathematical propositions is independent of the actual world-the world of existing subject-matters-is logically prior to it, and would remain unaffected were… — Cassius Jackson Keyser Copy Share Image
Mathematics, even in its present and most abstract state, is not detached from life. It is just the ideal handling of the problems of… — Cassius Jackson Keyser Copy Share Image
[The] humanization of mathematical teaching, the bringing of the matter and the spirit of mathematics to bear not merely upon certain fragmentary faculties of… — Cassius Jackson Keyser Copy Share Image
The present is no more exempt from the sneer of the future than the past has been. — Cassius Jackson Keyser Copy Share Image
The next-most difficult thing in the world is to get perspective. The most difficult is to keep it. — Cassius Jackson Keyser Copy Share Image
If people would stop objectifying abstractions (which they probably never will), or if they would stop objectifying the abstractions they make consciously (which they… — Cassius Jackson Keyser Copy Share Image
It is commonly, but erroneously, believed that it is easy to ask questions. A fool, it is said, can ask questions that a wise… — Cassius Jackson Keyser Copy Share Image
“It happens, therefore, that readers of the book, or of any other book built about a central concept, fall into three mutually exclusive classes:… — Cassius Jackson Keyser Copy Share Image