Burali-Forti paradox

英語（米国） (en-US) 英語（イギリス） (en-GB)

固有名詞

(set theory) The paradox that supposing the existence of a set of all ordinal numbers leads to a contradiction; construed as meaning that it is not a properly defined set.

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In his lecture, the professor used the Burali-Forti paradox to illustrate why one cannot form a set of all ordinal numbers.

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意味（1）

(set theory) The paradox that supposing the existence of a set of all ordinal numbers leads to a contradiction; construed as meaning that it is not a properly defined set.

Like them, Mirimanoff concentrates on the Burali-Forti paradox, and like Russell's analysis before, Mirimanoff shows how. in terms of size, the Burali-Forti paradox is basic and that if we solve this the other paradoxes will be solved too.

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the Burali-Forti paradox （ canonical ）