Like all writers, he measured the achievements of others by what they had accomplished, asking of them that they measure him by what he envisaged or planned.
There is a concept which corrupts and upsets all others. I refer not to Evil, whose limited realm is that of ethics; I refer to the infinite.
Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
The test of a first-rate intelligence is the ability to hold two opposed ideas in the mind at the same time, and still retain the ability to function.
A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The larger the denominator the smaller the fraction.
He was an embittered atheist (the sort of atheist who does not so much disbelieve in God as personally dislike Him).
A googolplex is precisely as far from infinity as is the number 1... no matter what number you have in mind, infinity is larger still.
I cannot walk through the suburbs in the solitude of the night without thinking that the night pleases us because it suppresses idle details, just as our memory does.
It is no use trying to sum people up. One must follow hints, not exactly what is said, nor yet entirely what is done.
All mankind is divided into three classes: those that are immovable, those that are movable, and those that move.