We must not expect simple answers to far-reaching questions. However far our gaze penetrates, there are always heights beyond which block our vision.

Now in creative thought common sense is a bad master. Its sole criterion for judgement is that the new ideas shall look like the old ones. In other words it can only work by suppressing originality.

The point about zero is that we do not need to use it in the operation of daily life. No one goes out to buy zero fish.

I regret that it has been necessary for me in this lecture to administer a large dose of four-dimensional geometry. I do not apologize, because I am really not responsible for the fact that nature in its most fundamental aspect is four-dimensional. Things are what they are.

Style, in its finest sense, is the last acquirement of the educated mind; it is also the most useful. It pervades the whole being.

The ultimate metaphysical ground is the creative advance into novelty.

Imagination is not to be divorced from the facts. It is a way of illuminating the facts.