“A mathematician who is not also something of a poet will never be a complete mathematician.”
“The difference between the poet and the mathematician is that the poet tries to get his head into the heavens while the mathematician tries to get the heavens into his head.”
“As a poet and as a mathematician, he would reason well; as a mere mathematician, he could not have reasoned at all.”
“The union of the mathematician with the poet, fervor with measure, passion with correctness, this surely is the ideal.”
“Mathematicians deal with large numbers sometimes, but never in their income.”
“A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.”