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Ideas for '', 'works' and 'The Foundations of Mathematics'

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4 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

9565	Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara]

3339	For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V

13430

Infinity: there is an infinity of distinguishable individuals [Ramsey]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

13428

Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]