Combining Texts

Ideas for 'In Praed.', 'Must We Believe in Set Theory?' and 'This is Political Philosophy'

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4 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory

10482

The logic of ZF is classical first-order predicate logic with identity [Boolos]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

10492

A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]

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

10485

Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]

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

10484

The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]