Combining Texts
Ideas for
'Unconscious Cerebral Initiative', 'Thinking About Logic' and 'A Completeness Theorem in Modal Logic'
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9 ideas
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / c. Derivation rules of PL
10987
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Three traditional names of rules are 'Simplification', 'Addition' and 'Disjunctive Syllogism' [Read]
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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
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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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11004
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Necessity is provability in S4, and true in all worlds in S5 [Read]
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4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
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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 / 4. Fuzzy Logic
11018
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There are fuzzy predicates (and sets), and fuzzy quantifiers and modifiers [Read]
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4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
11011
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Same say there are positive, negative and neuter free logics [Read]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / c. Logical sets
11020
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Realisms like the full Comprehension Principle, that all good concepts determine sets [Read]
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