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What people are saying - Write a reviewReview: Mathematical LogicUser Review - Stefko - GoodreadsThis is one of the standard graduate-level texts in mathematical logic. It is amazing how the author covers such a wide variety of topic in less than 400 pages. I find the chapter on set theory the ... Read full review Related books
Contents
8 other sections not shown Common terms and phrasesaxiom of constructibility axiom system axiomatized benign calculable Card(x cardinal closed formula conservative extension consistency proof constructible continuum hypothesis corollary countable decision method defining axiom disjunction element elementarily equivalent elementary extension equality axioms equality theorem equivalent explicit definition expression numbers extension by definitions F is defined F is recursive finitary follows function F function or predicate function symbol functions and predicates Hence Higman homomorphism hyperarithmetical identity axioms implies induction hypothesis infinite interpretation introduce isomorphism Lemma means n-ary function n-type natural numbers negation nonlogical axioms nonlogical symbols obtain occurrences ordinal partial functional predicate symbol prenex form provable prove Q(xi quantifiers recursive function recursive partial functional recursively enumerable set relation replace result special constants strongly undecidable structure subgroup subset suppose syntactical variables tautological consequence tautology theorem theory transfinite induction truth values unary predicate valid variable-free Bibliographic information
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