Combining Texts

All the ideas for 'fragments/reports', 'A Completeness Theorem in Modal Logic' and 'The Semantic Tradition from Kant to Carnap'

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10 ideas

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]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

18270

Choice suggests that intensions are not needed to ensure classes [Coffa]

12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic

18263

The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa]

12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori

18272

Platonism defines the a priori in a way that makes it unknowable [Coffa]

13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention

1556	By nature people are close to one another, but culture drives them apart [Hippias]

15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind

18266

Mathematics generalises by using variables [Coffa]

27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time

18279

Relativity is as absolutist about space-time as Newton was about space [Coffa]