Mathematicians who are only mathematicians have exact minds, provided all things are explained to them by means of definitions and axioms; otherwise they are inaccurate and insufferable, for they are only right when the principles are quite clear.

God does not care about our mathematical difficulties. He integrates empirically.

... mathematics ... affords the exact natural sciences a certain measure of certainty, to which without mathematics they could not attain.

If a man's wit be wandering, let him study the mathematics.

Here, where we reach the sphere of mathematics, we are among processes which seem to some the most inhuman of all human activities and the most remote from poetry. Yet it is here that the artist has the fullest scope of his imagination.

There is no royal road to geometry.

One has to be able to count if only so that at fifty one doesn't marry a girl of twenty.

Uncle Scrooge preferred to let the poor die "and decrease the surplus population." Scrooge may not have had God on his side, but his arithmetic was impeccable.

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.