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Ideas for 'fragments/reports', 'Two Dogmas of Empiricism' and 'Higher-Order Logic'

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5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic

10588

First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro]

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

10298

Some say that second-order logic is mathematics, not logic [Shapiro]

10299

If the aim of logic is to codify inferences, second-order logic is useless [Shapiro]