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Quote by James Glieck

“That was acceptable, his father told him: you can always try to solve a problem by proving that no solution exists.”

Quote by James Glieck

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James Glieck

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“The sooner Harkness stopped walking, the sooner he could stop walking. That was the simple truth. That was logic. But something went deeper, a truer, more frightening logic. Harkness was a part of the group that Garraty was a part of, a segment of his subclan. Part of a magic circle that Garraty belonged to. And if one part of that circle could be broken, any part of it could be broken.”

“A philosophic system is an integrated view of existence. As a human being you have no choice about the fact that you need a philosophy. Your only choice is whether you define your philosophy by a conscious, rational, disciplined process of thought and scrupulously logical deliberation - or let your subconscious accumulate a junk heap of unwarranted conclusions, false generalizations, undefined contradictions, undigested slogans, unidentified wishes, doubts and fears, thrown together by chance, but integrated by your subconscious into a kind of mongrel philosophy and fused into a single solid weight: self-doubt, like a ball and chain in the place where your mind's wings should have grown.”

“1. The world is everything that is the case. 2. What is the case (a fact) is the existence of states of affairs. 3. A logical picture of facts is a thought. 4. A thought is a proposition with a sense. 5. A proposition is a truth-function of elementary propositions. (An elementary proposition is a truth-function of itself.) 6. The general form of a proposition is the general form of a truth function, which is: [p, E, N(E)]. This is the general form of a proposition. 7. Whereof one cannot speak, thereof one must be silent.”

“6.1 The propositions of logic are tautologies. 6.2 Mathematics is a logical method. The propositions of mathematics are equations, and therefore pseudo-propositions. 6.3 The exploration of logic means the exploration of everything that is subject to law. And outside logic everything is accidental. 6.4 All propositions are of equal value. 6.5 When the answer cannot be put into words, neither can the question be put into words. The riddle does not exist. If a question can be framed at all, it is also possible to answer it.”