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Ideas for 'What is Logic?st1=Ian Hacking', 'Consistency and realism (with 1972 note)' and 'Structures and Structuralism in Phil of Maths'

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5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]