現代数学の系譜11 ガロア理論を読む32 [無断転載禁止]©2ch.net

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109: 現代数学の系譜11 ガロア理論を読む [sage] 2017/05/22(月) 15:23:13.43 ID:0yI+BCI1

>>107
学術さん、乙です。どうも。スレ主です。

>無限集合が存在しなくなっちゃったらとリスクヘッジするのもおすすめ。

ちょうど引用した>>108のAristotle, Physics, Book 3, Chapter 6

But on the other hand to suppose that the infinite does not exist in any way leads obviously to many impossible consequences: there will be a beginning and end of time, a magnitude will not be divisible into magnitudes, number will not be infinite. If, then, in view of the above considerations, neither alternative seems possible, an arbiter must be called in.

それから

Aristotle especially promoted the potential infinity as a middle option between strict finitism and actual infinity (the latter being an actualization of something never-ending in nature, in contrast with the Cantorist actual infinity consisting of the transfinite cardinal and ordinal numbers, which have nothing to do with the things in nature):

が、ぴったりかな
所詮、古代ギリシャのAristotle, の哲学の中か・・（＾＾

http://rio2016.5ch.net/test/read.cgi/math/1495369406/109

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