Combining Texts

All the ideas for 'Of Civil Liberty', 'The Languages of Art' and 'A Completeness Theorem in Modal Logic'

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6 ideas

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
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
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
The variable domain approach to quantified modal logic invalidates the Barcan Formula [Kripke, by Simchen]
The Barcan formulas fail in models with varying domains [Kripke, by Williamson]
21. Aesthetics / B. Nature of Art / 5. Art as Language
Art is like understanding a natural language, and needs a grasp of a symbol system [Goodman, by Gardner]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
Modern monarchies are (like republics) rule by law, rather than by men [Hume]