Combining Philosophers
Ideas for Stilpo, David Bostock and Ian Hacking
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9 ideas
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
13845
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The various logics are abstractions made from terms like 'if...then' in English [Hacking]
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5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
13840
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First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
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13844
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A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
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18108
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First-order logic is not decidable: there is no test of whether any formula is valid [Bostock]
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18109
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The completeness of first-order logic implies its compactness [Bostock]
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5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
13346
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Truth is the basic notion in classical logic [Bostock]
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13545
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Elementary logic cannot distinguish clearly between the finite and the infinite [Bostock]
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13822
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Fictional characters wreck elementary logic, as they have contradictions and no excluded middle [Bostock]
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5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
13842
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Second-order completeness seems to need intensional entities and possible worlds [Hacking]
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