We also know how cruel the truth often is, and we wonder whether delusion is not more consoling.
It is through science that we prove, but through intuition that we discover.
The mind uses its faculty for creativity only when experience forces it to do so.
How is error possible in mathematics?
In the old days when people invented a new function they had something useful in mind. Now, they invent them deliberately just to invalidate our ancestors' reasoning, and that is all they are ever going to get out of them.
If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.