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Single Idea 9565

[from 'works' by Ernst Zermelo, in 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets ]

Full Idea

The terms 'set' and 'is a member of' are primitives of Zermelo's 1908 axiomatization of set theory. They are not given model-theoretic analyses or definitions.

Gist of Idea

Zermelo made 'set' and 'member' undefined axioms

Source

report of Ernst Zermelo (works [1920]) by Charles Chihara - A Structural Account of Mathematics 7.5

Book Reference

Chihara,Charles: 'A Structural Account of Mathematics' [OUP 2004], p.204


A Reaction

This looks like good practice if you want to work with sets, but not so hot if you are interested in metaphysics.