The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future.
The pursuit of pretty formulas and neat theorems can no doubt quickly degenerate into a silly vice, but so can… (read more)
Time makes fools of us all. Our only comfort is that greater shall come after us.
Obvious is the most dangerous word in mathematics.
Out of fifty mathematical papers presented in brief at such a meeting, it is a rare mathematician indeed who really… (read more)
Science makes no pretension to eternal truth or absolute truth.
The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes.
Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.