Combining Texts

All the ideas for 'On Plural Reference and Set Theory', 'A Completeness Theorem in Modal Logic' and 'Metaphysical conseqs of principle of reason'

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7 ideas

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]

5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms

10670

A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]

7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads

5060	All substances analyse down to simple substances, which are souls, or 'monads' [Leibniz]

26. Natural Theory / C. Causation / 3. Final causes

5059	Power rules in efficient causes, but wisdom rules in connecting them to final causes [Leibniz]