

“Even among schemata, competition leavened with cooperation is sometimes both possible and advantageous. In the realm of theories, for instance, competing notions are not always mutually exclusive; sometimes a synthesis of several ideas comes much closer to the thruth than any of them does individually.”
― The Quark and the Jaguar: Adventures in the Simple and the Complex
― The Quark and the Jaguar: Adventures in the Simple and the Complex
“In mathematics, however, as everywhere else, men are inclined to form parties, so that there arose schools of pure synthesists and schools of pure analysts, who placed chief emphasis upon absolute “purity of method,” and who were thus more one-sided than the nature of the subject demanded. Thus the analytic geometricians often lost themselves in blind calculations, devoid of any geometric representation, The synthesists, on the other hand, saw salvation in an artificial avoidance of all formulas, and thus they accomplished nothing more, finally, than to develop their own peculiar language formulas, different from ordinary formulas.”
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“Biological evolution is part of the winding-down process by which the informational gap between the potential and the actual tends to be reduced.”
― The Quark and the Jaguar: Adventures in the Simple and the Complex
― The Quark and the Jaguar: Adventures in the Simple and the Complex

“It turns out that this new numerical system has a hidden property that the rational numbers didn’t have. This property will be our portal into the magical world of numbers. Namely, it turns out that this numerical system has symmetries.”
― Love and Math: The Heart of Hidden Reality
― Love and Math: The Heart of Hidden Reality
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