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Ideas for 'Parmenides', 'Necessary Beings' and 'works'

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2 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett]
If second-order variables range over sets, those are just objects; properties and relations aren't sets [Hale]