Combining Texts

All the ideas for '27: Book of Daniel', 'works' and 'A Completeness Theorem in Modal Logic'

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7 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]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
The 'simple theory of types' distinguishes levels among properties [Ramsey, by Grayling]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Beliefs are maps by which we steer [Ramsey]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Resurrection developed in Judaism as a response to martyrdoms, in about 160 BCE [Anon (Dan), by Watson]