Combining Philosophers
Ideas for Douglas Lackey, Mark Colyvan and Julia Annas
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5 ideas
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
17924
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Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan]
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5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
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Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan]
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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17930
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Axioms are 'categorical' if all of their models are isomorphic [Colyvan]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
21554
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Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
21553
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It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
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