Combining Texts
Ideas for
'What is Logic?st1=Ian Hacking', 'The Elm and the Expert' and 'What is Mathematical Truth?'
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5 ideas
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
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The various logics are abstractions made from terms like 'if...then' in English [Hacking]
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Inferences are surely part of the causal structure of the world [Fodor]
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5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
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First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
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A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
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5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
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Second-order completeness seems to need intensional entities and possible worlds [Hacking]
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