Your mind is like Heraclitus' river. Your mind, in fact, is like nineteenth-century father of psychology William James' "stream of consciousness," a bubbling, babbling brook. Your mind constantly produces different currents of associations, different swirls of thought, and different moods.

A = A is a simplification, one so radical that it sometimes utterly distorts reality. It skins reality alive. Is A = A useful? Does logic come in handy? Is math a magnificent symbolic system with which to comprehend what's around us? And is math based on A = A? Yes. Absolutely. But math and logic are just that - very, very simplified representations. Symbolic systems with massive powers. But symbolic systems that sometimes do enormous injustice to the richness of that which they attempt to represent. Symbol systems that sometimes do enormous injustice to science's greatest mystery, cosmic creativity.