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Single Idea 15943

[filed under theme 4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size ]

Full Idea

Von Neumann's Limitation of Size axiom is not self-evident, and he himself admitted that it seemed too strong.

Gist of Idea

Limitation of Size is not self-evident, and seems too strong

Source

comment on John von Neumann (An Axiomatization of Set Theory [1925]) by Shaughan Lavine - Understanding the Infinite VII.1

Book Ref

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.215

The 2 ideas from 'An Axiomatization of Set Theory'

15943 Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
13672 All the axioms for mathematics presuppose set theory [Neumann]