Combining Texts

All the ideas for 'fragments/reports', 'Isolation and Non-arbitrary Division' and 'A Completeness Theorem in Modal Logic'

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10 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]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units

17435

Objects do not naturally form countable units [Koslicki]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17433

We can still count squares, even if they overlap [Koslicki]

17439

There is no deep reason why we count carrots but not asparagus [Koslicki]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts

17434

We struggle to count branches and waves because our concepts lack clear boundaries [Koslicki]

7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff

17436

We talk of snow as what stays the same, when it is a heap or drift or expanse [Koslicki]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]