Combining Philosophers
Ideas for Melvin Fitting, Stephen Wolfram and Saul A. Kripke
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10 ideas
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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10559
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Kripke's modal semantics presupposes certain facts about possible worlds [Kripke, by Zalta]
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16985
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Possible worlds allowed the application of set-theoretic models to modal logic [Kripke]
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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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4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic
15375
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If terms change their designations in different states, they are functions from states to objects [Fitting]
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15376
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Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting]
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4. Formal Logic / E. Nonclassical Logics / 9. Awareness Logic
15378
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Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting]
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4. Formal Logic / E. Nonclassical Logics / 10. Justification Logics
15379
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Justication logics make explicit the reasons for mathematical truth in proofs [Fitting]
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