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'Reference and Contingency', 'First-Order Logic' and 'Les quaestiones de anima (lectures on the soul)'
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5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10289
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Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W]
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10288
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Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
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