“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.”
“The poet only asks to get his head into the heavens. It is the logician who seeks to get the heavens into his head. And it is his head that splits.”
“The romantic seeks only to get his head into the heavens. The rationalist seeks to get the heavens into his head – and it is his head that splits.”
“A mathematician who is not also something of a poet will never be a complete mathematician.”
“As a poet and as a mathematician, he would reason well; as a mere mathematician, he could not have reasoned at all.”
“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.”