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＜電子ブック＞
Sets, Logic and Categories / by Peter J. Cameron
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	1st ed. 1998.
出版者	London : Springer London : Imprint: Springer
出版年	1998
本文言語	英語
大きさ	X, 182 p : online resource
冊子体	Sets, logic, and categories / Peter J. Cameron ; : pbk
著者標目	*Cameron, Peter J author SpringerLink (Online service)
件　名	LCSH:Mathematical logic LCSH:Algebra, Homological LCSH:K-theory FREE:Mathematical Logic and Foundations FREE:Category Theory, Homological Algebra FREE:K-Theory
一般注記	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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4471-0589-3

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