Burali-Forti paradox

专有名词
中文释义

英文释义

专有名词
  1. 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.
    — 1984, Michael Hallett, Cantorian Set Theory and Limitation of Size, Oxford University Press (Clarendon Press), 1986, Paperback, page 186, 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.

词形变化

the Burali-Forti paradox canonical Burali-Forti's paradox alternative

词源

Named after Cesare Burali-Forti, who in 1897 published a paper proving a theorem which, unknown to him, contradicted a previously proved result by Georg Cantor.
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