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Single Idea 15895

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

Full Idea

Burali-Forti didn't discover any paradoxes, though his work suggested a paradox to Russell.

Gist of Idea

Russell discovered the paradox suggested by Burali-Forti's work

Source

report of Bertrand Russell (The Principles of Mathematics [1903]) by Shaughan Lavine - Understanding the Infinite I

Book Ref

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.3

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]