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Single Idea 21716

[from 'Russell's Mathematical Logic' by Kurt Gödel, in 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility ]

Full Idea

In the superior realist and simple theory of types, the place of the axiom of reducibility is not taken by the axiom of classes, Zermelo's Aussonderungsaxiom.

Gist of Idea

In simple type theory the axiom of Separation is better than Reducibility

Source

report of Kurt Gödel (Russell's Mathematical Logic [1944], p.140-1) by Bernard Linsky - Russell's Metaphysical Logic 6.1 n3

Book Reference

Linsky,Bernard: 'Russell's Metaphysical Logic' [CSLI 1999], p.91


A Reaction

This is Zermelo's Axiom of Separation, but that too is not an axiom of standard ZFC.