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Facts Quotes

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Facts Quotes

“The essential discovery of maturity has little if anything to do with information about the names, the locations, and the sequence of facts; it is the acquiring of a different sense of life, a different kind of intuition about the nature of things.”

“Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special faculty of our understanding attuned to the principle of mathematical induction, as does PoincarĂ©, or the primal intuition of Brouwer, or, finally, as do Russell and Whitehead, axioms of infinity, reducibility, or completeness, which in fact are actual, contentual assumptions that cannot be compensated for by consistency proofs.”

“We who go a-fishing are a peculiar people. Like other men and women in many respects, we are like one another, and like no others, in other respects. We understand each other's thoughts by an intuition of which we know nothing. We cast our flies on many waters, where memories and fancies and facts rise, and we take them and show them to each other, and small or large, we are content with our catch.”