Combining Texts

All the ideas for 'Structure and Nature', 'A Completeness Theorem in Modal Logic' and 'A Pragmatic Conception of the A Priori'

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13 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 / 1. Overview of Logic

9358	There are several logics, none of which will ever derive falsehoods from truth [Lewis,CI]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

9357	Excluded middle is just our preference for a simplified dichotomy in experience [Lewis,CI]

5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names

9364	Names represent a uniformity in experience, or they name nothing [Lewis,CI]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

10242

I apply structuralism to concrete and abstract objects indiscriminately [Quine]

7. Existence / D. Theories of Reality / 6. Physicalism

10243

My ontology is quarks etc., classes of such things, classes of such classes etc. [Quine]

10. Modality / A. Necessity / 11. Denial of Necessity

9362	Necessary truths are those we will maintain no matter what [Lewis,CI]

12. Knowledge Sources / A. A Priori Knowledge / 7. A Priori from Convention

9365	We can maintain a priori principles come what may, but we can also change them [Lewis,CI]

18. Thought / E. Abstraction / 2. Abstracta by Selection

9361	We have to separate the mathematical from physical phenomena by abstraction [Lewis,CI]

26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism

9363	Science seeks classification which will discover laws, essences, and predictions [Lewis,CI]