Combining Philosophers

Ideas for B Hale / C Wright, Mark Colyvan and Michael Hallett

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5 ideas

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

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Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan]

5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms

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Singular terms refer if they make certain atomic statements true [Hale/Wright]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17929

Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17930

Axioms are 'categorical' if all of their models are isomorphic [Colyvan]

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / c. Grelling's paradox

10631

If 'x is heterological' iff it does not apply to itself, then 'heterological' is heterological if it isn't heterological [Hale/Wright]