Combining Texts

All the ideas for 'fragments/reports', 'A Completeness Theorem in Modal Logic' and 'Guidebook to Wittgenstein's Tractatus'

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13 ideas

1. Philosophy / H. Continental Philosophy / 3. Hermeneutics

23449

Interpreting a text is representing it as making sense [Morris,M]

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]

5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence

23484

Bipolarity adds to Bivalence the capacity for both truth values [Morris,M]

5. Theory of Logic / G. Quantification / 1. Quantification

23494

Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

23451

Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]

23460

To count, we must distinguish things, and have a series with successors in it [Morris,M]

23452

Discriminating things for counting implies concepts of identity and distinctness [Morris,M]

19. Language / D. Propositions / 1. Propositions

23491

There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M]

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character

541	Virtue comes more from habit than character [Critias]

28. God / C. Attitudes to God / 5. Atheism

542	Fear of the gods was invented to discourage secret sin [Critias]