The next-most difficult thing in the world is to get perspective. The most difficult is to keep it.
Cassius Jackson KeyserIf 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 metrical and computatory art essential to the effective conduct of daily life, that mathematics admits of countless applications in engineering and the natural sciences, and finally that mathematics is a most excellent instrumentality for giving mental discipline... [A mathematician will add] that mathematics is the exact science, the science of exact thought or of rigorous thinking.
Cassius Jackson KeyserIt 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 fact is that a wise man can answer many questions that a fool cannot ask.
Cassius Jackson KeyserAbsolute certainty is a privilege of uneducated minds and fanatics. - It is, for scientific folk, an unattainable ideal.
Cassius Jackson KeyserIf people would stop objectifying abstractions (which they probably never will), or if they would stop objectifying the abstractions they make consciously (which they might learn to do), at least half the pseudo-questions befuddling the world today - as they have befuddled it since time immemorial - would vanish. And that would be a very, very great gain.
Cassius Jackson Keyser