Combining Texts

Ideas for 'Unconscious Cerebral Initiative', 'Goodbye Descartes' and 'A Completeness Theorem in Modal Logic'

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7 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic

8081	'No councillors are bankers' and 'All bankers are athletes' implies 'Some athletes are not councillors' [Devlin]

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic

8085	Modern propositional inference replaces Aristotle's 19 syllogisms with modus ponens [Devlin]

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL

8086	Predicate logic retains the axioms of propositional logic [Devlin]

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic

10163

Propositional modal logic has been proved to be complete [Kripke, by Feferman/Feferman]

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / a. Systems of modal logic

10760

With possible worlds, S4 and S5 are sound and complete, but S1-S3 are not even sound [Kripke, by Rossberg]

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula

16189

The variable domain approach to quantified modal logic invalidates the Barcan Formula [Kripke, by Simchen]

15132

The Barcan formulas fail in models with varying domains [Kripke, by Williamson]