Fashion as King is sometimes a very stupid ruler.
""Obvious"" is the most dangerous word in mathematics.
Science makes no pretension to eternal truth or absolute truth.
Time makes fools of us all. Our only comfort is that greater shall come after us.
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.
I have always hated machinery, and the only machine I ever understood was a wheelbarrow, and that but imperfectly.
The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future.
It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences.
Out of fifty mathematical papers presented in brief at such a meeting, it is a rare mathematician indeed who really understands what more than half a dozen are about.