[過去ﾛｸﾞ] 【無限小】柄谷行人を解体する80【偏微分∂】 (1002ﾚｽ)
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780: 2024/11/22(金)08:11 ID:0(780/1000) AA×


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780: [sage] 2024/11/22(金) 08:11:26.21 ID:0 Here we have first a series of negative fractions with no end, and then a series of positive fractions with no beginning. Shall we say that, in this series, −1/8 is an ancestor of 1/8? It will be so according to the beginner's definition suggested above, but it will not be so according to any definition which will give the kind of idea that we wish to define. For this purpose, it is essential that the number of intermediaries should be finite. But, as we saw, "finite" is to be defined by means of mathematical induction, and it is simpler to define the ancestral relation generally at once than to define it first only for the case of the relation of n to n+1, and then extend it to other cases. http://lavender.5ch.net/test/read.cgi/philo/1729771657/780

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