Combining Texts
Ideas for
'poems', 'Must We Believe in Set Theory?' and 'The Theory of Transfinite Numbers'
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5 ideas
4. Formal Logic / F. Set Theory ST / 1. Set Theory
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The logic of ZF is classical first-order predicate logic with identity [Boolos]
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A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
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A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
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Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
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The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
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