Combining Texts

All the ideas for 'The Birth of Tragedy', 'A Completeness Theorem in Modal Logic' and 'Letters to Foucher'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy

7848	Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]

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 / C. Powers and Dispositions / 4. Powers as Essence

13095

Essence is primitive force, or a law of change [Leibniz]

26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity

2117	The connection in events enables us to successfully predict the future, so there must be a constant cause [Leibniz]