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現代数学の系譜　カントル　超限集合論

PC,ｽﾏﾎ,PHSは ULA べっかんこ 公式(ｽﾏﾎ) 公式(PC) で書き込んでください｡

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引用切替：ﾚｽｱﾝｶｰのみ
>>540 > >>537 機械英訳してみた（＾＾ > > （Google 仏→英訳） > On the notion of finite set. > Through > Casimir Kuratowski (Warszawa). > > Mr. W.Sierpinski gave in his book The axiom of Mr. Zermelo and his role in the Theory of Ensembles and Analysis 1) a new definition of the finite set. > This definition is essentially distinguished by the fact that it does not depend either on the notion of natural number or on the general notion of function, which usually enters into the definitions that make use of the notion of correspondence. > The definition in question is as follows: > > "Consider classes K sets each of which satisfies the following conditions: > 1 ° any set containing a single element belongs to class K, > 2 ° si.A. and B are two sets belonging to the class K, > their set-sum A + B also belongs to K. > Let's call finite everything that belongs to each of > classes K satisfying conditions 1 ° and 2 ° ". > > つづく
ﾛｰｶﾙﾙｰﾙ SETTING.TXT

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・ULA
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・べっかんこ(通常)
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・公式(PC)[PC,ｽﾏﾎ,PHS可]

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