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Ideas for 'The Lagoon: how Aristotle invented science', 'A Tour through Mathematical Logic' and 'Essentials of Pragmatism'

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5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
In first-order logic syntactic and semantic consequence (|- and |=) nicely coincide [Wolf,RS]
First-order logic is weakly complete (valid sentences are provable); we can't prove every sentence or its negation [Wolf,RS]