Combining Texts

All the ideas for 'Two Problems of Epistemology', 'Particulars in Particular Clothing' and 'A Completeness Theorem in Modal Logic'

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6 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]

8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes

18431

Internal relations combine some tropes into a nucleus, which bears the non-essential tropes [Simons, by Edwards]

14. Science / A. Basis of Science / 6. Falsification

18284

Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]