Combining Texts

All the ideas for 'fragments/reports', 'A Completeness Theorem in Modal Logic' and 'Formal and Transcendental Logic'

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9 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 / C. Ontology of Logic / 1. Ontology of Logic

21222

Logicians presuppose a world, and ignore logic/world connections, so their logic is impure [Husserl, by Velarde-Mayol]

21223

Phenomenology grounds logic in subjective experience [Husserl, by Velarde-Mayol]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

21224

Pure mathematics is the relations between all possible objects, and is thus formal ontology [Husserl, by Velarde-Mayol]

25. Social Practice / E. Policies / 5. Education / b. Education principles

13304

Learned men gain more in one day than others do in a lifetime [Posidonius]

27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure

20820

Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]