Burali-Forti paradox

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Burali-Forti paradox

[bu̇′räl·ē ′fȯr·tē ′par·ə‚däks]
(mathematics)
The order-type of the set of all ordinals is the largest ordinal, but that ordinal plus one is larger.
References in periodicals archive ?
323) invented "Burali-Forti's paradox" of the greatest ordinal (and most of the others also): Burali-Forti (1897) thought that he had simply shown that a particular way of ordering ordinal numbers did not satisfy trichotomy (that is, [is less than], = or [is greater than]).(2)