Combining Texts

All the ideas for 'fragments/reports', 'A Completeness Theorem in Modal Logic' and 'Whitehead and the Rise of Modern Logic'

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7 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]

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

13639

Quine says higher-order items are intensional, and lack a clearly defined identity relation [Quine, by Shapiro]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory

21557

Russell confused use and mention, and reduced classes to properties, not to language [Quine, by Lackey]

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

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