Combining Philosophers
Ideas for Harry G. Frankfurt, Edwin D. Mares and Keith Hossack
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10 ideas
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
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Intuitionist logic looks best as natural deduction [Mares]
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18790
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Intuitionism as natural deduction has no rule for negation [Mares]
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4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
18787
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Three-valued logic is useful for a theory of presupposition [Mares]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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The Axiom of Choice is a non-logical principle of set-theory [Hossack]
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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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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
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
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
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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Extensional mereology needs two definitions and two axioms [Hossack]
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