The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future...

The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes.

Science makes no pretension to eternal truth or absolute truth.

If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper.

The only royal road to elementary geometry is ingenuity.

Galois read the geometry from cover to cover as easily as other boys read a pirate yarn.

Even stranger things have happened; and perhaps the strangest of all is the marvel that mathematics should be possible to a race akin to the apes.