Combining Philosophers

Ideas for Michael Burke, Keith Hossack and Karl Leonhard Reinhold

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

10676

The Axiom of Choice is a non-logical principle of set-theory [Hossack]

10686

The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets

23623

Predicativism says only predicated sets exist [Hossack]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets

23624

The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size

23625

Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

10687

Maybe we reduce sets to ordinals, rather than the other way round [Hossack]

4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology

10677

Extensional mereology needs two definitions and two axioms [Hossack]