Combining Texts

All the ideas for 'Summa', 'City of God' and 'A Completeness Theorem in Modal Logic'

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8 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]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Substances 'substand' (beneath accidents), or 'subsist' (independently) [Eustachius]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Prime matter is free of all forms, but has the potential for all forms [Eustachius]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
I must exist in order to be mistaken, so that even if I am mistaken, I can't be wrong about my own existence [Augustine]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
The contact of spirit and body is utterly amazing, and incomprehensible [Augustine]