Combining Texts

All the ideas for 'fragments/reports', 'A Completeness Theorem in Modal Logic' and 'Expositio super viii libros'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
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]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Knowledge is a quality existing subjectively in the soul [William of Ockham]
Sometimes 'knowledge' just concerns the conclusion, sometimes the whole demonstration [William of Ockham]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
Knowledge is certain cognition of something that is true [William of Ockham]