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thinking in tune
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Polygons of music and words
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thinking in tune
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2026-03-04 01:33:46
raw text
thinking in tune | Polygons of music and words Home About Quotations Thoughtsmith thinking in tune Polygons of music and words Feeds: Posts Comments About metamathematical statements in a recent post by Timothy Gowers 2011/10/10 by ogerard (This is a comment about this post by Professor Timothy Gowers, in a series for mathematical undergraduates he has started there .). I was delighted to rediscover several distinctions about mathematical discourse in ordinary english I usually do not keep consciously in mind when writing. But you write in the first part: “Here are a few metamathematical statements. -1- “There are infinitely many prime numbers” is true. -2- The continuum hypothesis cannot be proved using the standard axioms of set theory. -3- “There are infinitely many prime numbers” implies “There are infinitely many odd numbers”. -4- The least upper bound axiom implies that every Cauchy sequence converges. In each of these four sentenc...
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