Combining Texts

All the ideas for 'The Birth of Tragedy', 'A Completeness Theorem in Modal Logic' and 'Russell's Ontological Development'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]
2. Reason / D. Definition / 12. Paraphrase
Russell offered a paraphrase of definite description, to avoid the commitment to objects [Quine]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
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
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
The variable domain approach to quantified modal logic invalidates the Barcan Formula [Kripke, by Simchen]
The Barcan formulas fail in models with varying domains [Kripke, by Williamson]
19. Language / A. Nature of Meaning / 7. Meaning Holism / a. Sentence meaning
Taking sentences as the unit of meaning makes useful paraphrasing possible [Quine]
Knowing a word is knowing the meanings of sentences which contain it [Quine]