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Ideas for 'Perception', 'Remarks on axiomatised set theory' and 'Introduction to the Philosophy of Mathematics'

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5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17878

If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]

17929

Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan]