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

The various logics are abstractions made from terms like 'if...then' in English [Hacking]

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

13840

First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]

13844

A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]

18108

First-order logic is not decidable: there is no test of whether any formula is valid [Bostock]

18109

The completeness of first-order logic implies its compactness [Bostock]

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic

13346

Truth is the basic notion in classical logic [Bostock]

13545

Elementary logic cannot distinguish clearly between the finite and the infinite [Bostock]

13822

Fictional characters wreck elementary logic, as they have contradictions and no excluded middle [Bostock]

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

13842

Second-order completeness seems to need intensional entities and possible worlds [Hacking]