Single Idea 13495

[catalogued under 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII]

Full Idea

The usual statement of Foundation is that any nonempty set has a member disjoint from it. This phrasing is ordinal-free and closer to the primitives of ZFC.

Gist of Idea

Foundation Axiom: an nonempty set has a member disjoint from it

Source

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

Book Reference

Hart,W.D.: 'The Evolution of Logic' [CUP 2010], p.80

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