Combining Philosophers

Ideas for Sebastian Gardner, Timothy Williamson and Douglas Lackey

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7 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5

14626

In S5 matters of possibility and necessity are non-contingent [Williamson]

15131

If metaphysical possibility is not a contingent matter, then S5 seems to suit it best [Williamson]

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula

15135

If the domain of propositional quantification is constant, the Barcan formulas hold [Williamson]

15130

If a property is possible, there is something which can have it [Williamson]

15139

Converse Barcan: could something fail to meet a condition, if everything meets that condition? [Williamson]

4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic

21602

Many-valued logics don't solve vagueness; its presence at the meta-level is ignored [Williamson]

4. Formal Logic / E. Nonclassical Logics / 4. Fuzzy Logic

6862	Fuzzy logic uses a continuum of truth, but it implies contradictions [Williamson]