Combining Texts
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'Metaphysics', 'Diffrance' and 'A Completeness Theorem in Modal Logic'
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6 ideas
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
562
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Axioms are the underlying principles of everything, and who but the philosopher can assess their truth? [Aristotle]
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573
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The axioms of mathematics are part of philosophy [Aristotle]
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4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
10163
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Propositional modal logic has been proved to be complete [Kripke, by Feferman/Feferman]
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4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / a. Systems of modal logic
10760
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With possible worlds, S4 and S5 are sound and complete, but S1-S3 are not even sound [Kripke, by Rossberg]
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4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
16189
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The variable domain approach to quantified modal logic invalidates the Barcan Formula [Kripke, by Simchen]
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15132
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The Barcan formulas fail in models with varying domains [Kripke, by Williamson]
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