Combining Texts
Ideas for
'In Defense of Essentialism', 'What is Cantor's Continuum Problem?' and 'Knowledge and the Philosophy of Number'
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5 ideas
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
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8679
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We perceive the objects of set theory, just as we perceive with our senses [Gödel]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
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9942
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Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naďve 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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