The world is continuous, but the mind is discrete.
A Noah's Ark of mathematicians, their lives, loves, hard times, and madnesses, Loving and Hating Mathematics shows our community with all its warts as well as its triumphs. I especially liked the chapter on much-hated school mathematics, 'Almost All Children Left Behind.'
Logic has virtually nothing to do with the way we think.
The extreme possibilities are the most illuminating.
Images of the world are Renormalization Group fixed points.
My own view is that no major advance was ever found as a result of a committee's recommendation... We should be honest in telling these agencies we often don't know where some ideas are going to lead, but we hope they are going to clarify a problem.