Combining Texts

All the ideas for 'works', '11: Book of Kings 1' and 'A Completeness Theorem in Modal Logic'

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10 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor

6806	Do not multiply entities beyond necessity [William of Ockham]

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]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / n. Pi

17914

He made a molten sea, which was ten cubits across, and thirty cubits round the edge [Anon (Kings)]

8. Modes of Existence / D. Universals / 5. Universals as Concepts

22132

Species and genera are individual concepts which naturally signify many individuals [William of Ockham]

27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time

19381

The past has ceased to exist, and the future does not yet exist, so time does not exist [William of Ockham]

28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality

8010	William of Ockham is the main spokesman for God's commands being the source of morality [William of Ockham]

29. Religion / B. Monotheistic Religion / 4. Christianity / c. Angels

16679

Even an angel must have some location [William of Ockham, by Pasnau]