Combining Texts

All the ideas for 'fragments/reports', 'Principles of Nature and Grace based on Reason' and 'A Completeness Theorem in Modal Logic'

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11 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]

7. Existence / A. Nature of Existence / 5. Reason for Existence

5062	First: there must be reasons; Second: why anything at all?; Third: why this? [Leibniz]

7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads

19377

A monad and its body are living, so life is everywhere, and comes in infinite degrees [Leibniz]

12. Knowledge Sources / B. Perception / 1. Perception

19353

'Perception' is basic internal representation, and 'apperception' is reflective knowledge of perception [Leibniz]

15. Nature of Minds / A. Nature of Mind / 7. Animal Minds

5061	Animals are semi-rational because they connect facts, but they don't see causes [Leibniz]

21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music

5063	Music charms, although its beauty is the harmony of numbers [Leibniz]

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]