more from this thinker     |     more from this text

Single Idea 13482

[filed under theme 5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox ]

Full Idea

The Burali-Forti Paradox was a crisis for Cantor's theory of ordinal numbers.

Gist of Idea

The Burali-Forti paradox is a crisis for Cantor's ordinals

Source

William D. Hart (The Evolution of Logic [2010], 3)

Book Ref

Hart,W.D.: 'The Evolution of Logic' [CUP 2010], p.59

The 5 ideas with the same theme [problem arising when we think of the greatest ordinal]:

15895 Russell discovered the paradox suggested by Burali-Forti's work [Russell, by Lavine]
21553 It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
13482 The Burali-Forti paradox is a crisis for Cantor's ordinals [Hart,WD]
13366 The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G]
8674 The Burali-Forti paradox asks whether the set of all ordinals is itself an ordinal [Friend]