The world is continuous, but the mind is discrete.

The world is a very complicated place, as babies know.

Logic has virtually nothing to do with the way we think.

I am accustomed, as a professional mathematician, to living in a sort of vacuum, surrounded by people who declare with an odd sort of pride that they are mathematically illiterate.

The extreme possibilities are the most illuminating.

Art lives on the mental plane (the real painting is not the set of dry pigments on the canvas nor is a symphony the sequence of sound waves that convey it to our ear) but, as the post-modernists insist, is reinterpreted in new contexts by each appreciator. As for gossip, which includes the vast majority of our thoughts, its essence is its relation to a unique local part of time and space.

I think that mathematics can benefit by acknowledging that the creation of good models is just as important as proving deep theorems.