Definition of Burali-Forti paradox

1. Noun. (set theory) The following paradox: Let ''L'' be the set of all ordinal numbers. This set is well-ordered, so it has an ordinal number ''γ''. Since ''L'' is the set of all ordinal numbers, ''L'' contains ''γ''. But ''γ'' is equal to the well-ordered set of all ordinal numbers ''β'' smaller than ''γ''. Thus, ''L'' is order isomorphism order isomorphic to one of its proper subsets, a contradiction. ¹



¹ Source: wiktionary.com

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Lexicographical Neighbors of Burali-Forti Paradox

Bunsen-Roscoe law
Bunsen burner
Bunsen burners
Bunsen cell
Bunsen cells
Bunsen pile
Bunsen piles
Bunuel
Bunyamwera fever
Bunyamwera virus
Bunyan
Bunyaviridae
Buphthalmum
Buphthalmum salicifolium
Bura
Burali-Forti paradox (current term)
Buran
Burbage
Burbank
Burberry
Burchard-Liebermann reaction
Burchell's zebra
Burckhardtian
Burdach's column
Burdach's fasciculus
Burdach's nucleus
Burdach's tract
Burdak
Burdekin duck
Burdekin ducks

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