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.
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. - Cassius Jackson Keyser
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.
- Cassius Jackson Keyser
The pursuit of excellence is the proper vocation of man. - Cassius Jackson Keyser
The pursuit of excellence is the proper vocation of man.
The next-most difficult thing in the world is to get perspective. The most difficult is to keep it. - Cassius Jackson Keyser
The next-most difficult thing in the world is to get perspective. The most difficult is to keep it.
The present is no more exempt from the sneer of the future than the past has been. - Cassius Jackson Keyser
The present is no more exempt from the sneer of the future than the past has been.
Absolute certainty is a privilege of uneducated minds and fanatics. - It is, for scientific folk, an unattainable ideal. - Cassius Jackson Keyser
Absolute certainty is a privilege of uneducated minds and fanatics. - It is, for scientific folk, an unattainable ideal.
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 … - Cassius Jackson Keyser
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 …
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… - Cassius Jackson Keyser
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…
If people would stop objectifying abstractions (which they probably never will), or if they would stop objectifying the abstractions they make consci… - Cassius Jackson Keyser
If people would stop objectifying abstractions (which they probably never will), or if they would stop objectifying the abstractions they make consci…
[The] humanization of mathematical teaching, the bringing of the matter and the spirit of mathematics to bear not merely upon certain fragmentary fac… - Cassius Jackson Keyser
[The] humanization of mathematical teaching, the bringing of the matter and the spirit of mathematics to bear not merely upon certain fragmentary fac…
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