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Ideas for 'Structures and Structuralism in Phil of Maths', 'Criterion of Validity in Reasoning' and 'Philosophy of Mathematics'

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

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ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets

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Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]