Combining Philosophers

Ideas for Michael Burke, Mark Sainsbury and Robert S. Wolf

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

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In first-order logic syntactic and semantic consequence (|- and |=) nicely coincide [Wolf,RS]

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First-order logic is weakly complete (valid sentences are provable); we can't prove every sentence or its negation [Wolf,RS]