David Mumford Famous Quotes
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Logic has virtually nothing to do with the way we think.
Everyone knows that physicists are concerned with the laws of the universe and have the audacity sometimes to think they have discovered the choices God made when He created the universe in thus and such a pattern. Mathematicians are even more audacious. What they feel they discover are the laws that God Himself could not avoid having to follow.
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.'
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.
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.
The world is a very complicated place, as babies know.
Images of the world are Renormalization Group fixed points.
