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Sets, Logic and Categories [[electronic resource] /] / by Peter J. Cameron



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Autore: Cameron Peter J Visualizza persona
Titolo: Sets, Logic and Categories [[electronic resource] /] / by Peter J. Cameron Visualizza cluster
Pubblicazione: London : , : Springer London : , : Imprint : Springer, , 1998
Edizione: 1st ed. 1998.
Descrizione fisica: 1 online resource (X, 182 p.)
Disciplina: 511.3/22
Soggetto topico: Mathematical logic
Category theory (Mathematics)
Homological algebra
K-theory
Mathematical Logic and Foundations
Category Theory, Homological Algebra
K-Theory
Classificazione: 03-01
00A05
13-01
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Sets, logic and categories  Visualizza cluster
ISBN: 1-4471-0589-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910479876403321
Lo trovi qui: Univ. Federico II
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Serie: Springer Undergraduate Mathematics Series, . 1615-2085