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 it to vanish from being. Mathematical propositions, if true, are eternal verities. — 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
![“[The] humanization of mathematical teaching, the bringing of the matter and the spirit of mathematics to bear not merely upon certain fragmentary faculties of the mind, but upon the whole mind, that this is the greatest desideratum is. I assume, beyond dispute.” quote by Cassius Jackson Keyser](https://sms4smile.com/quotes/img-quotes/bda/cassius-jackson-keyser-37055_assuming_the-humanization-of-mathematical-teachin_1807256.jpg)
