Combining Philosophers
Ideas for Herodotus, Keith Hossack and Charles Parsons
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9 ideas
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
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9470
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Modal logic is not an extensional language [Parsons,C]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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13418
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The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
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10676
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The Axiom of Choice is a non-logical principle of set-theory [Hossack]
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10686
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The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
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23623
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Predicativism says only predicated sets exist [Hossack]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
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23624
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The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
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23625
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Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
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4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
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10687
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Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
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4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
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10677
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Extensional mereology needs two definitions and two axioms [Hossack]
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