Ludwig Wittgenstein Quotes About Mathematics
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I Once wrote: "In mathematics process and result are equivalent."
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With my full philosophical rucksack I can only climb slowly up the mountain of mathematics.
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A mathematical proof must be perspicuous.
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Suppose someone follows the series "1,3,5,7, ..", and in writing the series 2x+1; and he asked himself "But am I always doing the same thing, or something different every time?" If from one day to the next someone promises: "Tomorrow I will give up smoking", does he say the same thing every day, or every day something different?
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There can never be surprises in logic.
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Is my understanding only blindness to my own lack of understanding? It often seems so to me.
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All mathematics is tautology.
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Proof, one might say, does not merely shew that it is like this, but: how it is like this. It shows how 13+14 yield 27.
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Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics.
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We could present spatially an atomic fact which contradicted the laws of physics, but not one which contradicted the laws of geometry.
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