03406nam 22006735 450 991078934520332120210914135920.01-4471-0589-310.1007/978-1-4471-0589-3(CKB)3400000000088218(SSID)ssj0000808466(PQKBManifestationID)11464590(PQKBTitleCode)TC0000808466(PQKBWorkID)10777810(PQKB)10047824(DE-He213)978-1-4471-0589-3(MiAaPQ)EBC3074332(PPN)187456429(EXLCZ)99340000000008821820121227d1998 u| 0engurnn#008mamaatxtccrSets, Logic and Categories[electronic resource] /by Peter J. Cameron1st ed. 1998.London :Springer London :Imprint: Springer,1998.1 online resource (X, 182 p.)Springer Undergraduate Mathematics Series,1615-2085Bibliographic Level Mode of Issuance: Monograph1-85233-056-2 Includes bibliographical references and index.1. Naïve set theory -- 2. Ordinal numbers -- 3. Logic -- 4. First-order logic -- 5. Model theory -- 6. Axiomatic set theory -- 7. Categories -- 8. Where to from here? -- Solutions to selected exercises -- References.Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.Springer Undergraduate Mathematics Series,1615-2085Mathematical logicCategory theory (Mathematics)Homological algebraK-theoryMathematical Logic and Foundationshttps://scigraph.springernature.com/ontologies/product-market-codes/M24005Category Theory, Homological Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11035K-Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11086Mathematical logic.Category theory (Mathematics).Homological algebra.K-theory.Mathematical Logic and Foundations.Category Theory, Homological Algebra.K-Theory.511.3/2203-01msc00A05msc13-01mscCameron Peter Jauthttp://id.loc.gov/vocabulary/relators/aut40938BOOK9910789345203321Sets, logic and categories1425016UNINA