In many cases a dull proof can be supplemented by a geometric analogue so simple and beautiful that the truth of a theorem is almost seen at a glance. - Martin Gardner

A surprising proportion of mathematicians are accomplished musicians. Is it because music and mathematics share patterns that are beautiful?

The last level of metaphor in the Alice books is this: that life, viewed rationally and without illusion, appears to be a nonsense tale told by an idiot mathematician. At the heart of things science finds only a mad, never-ending quadrille of Mock Turtle Waves and Gryphon Particles. For a moment the waves and particles dance in grotesque, inconceivably complex patterns capable of reflecting on their own absurdity.

My attack on Freud brought a raft of angry letters from dedicated Freudians. One reader assured me that Freudianism is “alive and well.” True, but alive and well only among a dwindling remnant of Freud acolytes, not among the majority of today’s psychiatrists or intellectuals.