I was at my best at a little past forty, when I was a professor at Oxford.
Asked if he believes in one G-d, a mathematician answered: "Yes, up to isomorphism".
Chess problems are the hymn-tunes of mathematics.
A chess problem is simply an exercise in pure mathematics.
A science is said to be useful if its development tends to accentuate the existing inequalities in the distribution of wealth, or more directly promotes the destruction of human life.
What we do may be small, but it has a certain character of permanence; and to have produced anything of the slightest permanent interest, whether it be a copy of verses or a geometrical theorem, is to have done something utterly beyond the powers of the vast majority of men.