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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
     Full Idea: Naïve set theory is based on the principles that any formula defines a set, and that coextensive sets are identical.
     From: Øystein Linnebo (Philosophy of Mathematics [2017], 4.2)
     A reaction: The second principle is a standard axiom of ZFC. The first principle causes the trouble.