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OverviewA classic introduction to mathematical logic from the perspective of category theory, this text is suitable for advanced undergraduates and graduate students and accessible to both philosophically and mathematically oriented readers. Its approach moves always from the particular to the general, following through the steps of the abstraction process until the abstract concept emerges naturally. Beginning with a survey of set theory and its role in mathematics, the text proceeds to definitions and examples of categories and explains the use of arrows in place of set-membership. The introduction to topos structure covers topos logic, algebra of subobjects, and intuitionism and its logic, advancing to the concept of functors, set concepts and validity, and elementary truth. Explorations of categorial set theory, local truth, and adjointness and quantifiers conclude with a study of logical geometry. Full Product DetailsAuthor: Robert GoldblattPublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Edition: Revised ed. Dimensions: Width: 14.00cm , Height: 3.10cm , Length: 21.60cm Weight: 0.695kg ISBN: 9780486450261ISBN 10: 0486450260 Pages: 576 Publication Date: 26 May 2006 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. Mathematics = Set Theory? 2. What Categories Are 3. Arrows Instead of Epsilon 4. Introducing Topoi 5. Topos Structure: First Steps 6. Logic Classically Conceived 7. Algebra of Subobjects 8. Institutionism and Its Logic 9. Functors 10. Set Concepts and Validity 11. Elementary Truth 12. Categorial Set Theory 13. Arithmetic 14. Local Truth 15. Adjointness and Quantifiers 16. Logical Geometry References Catalogue of Notation Index of DefinitionsReviewsAuthor InformationRobert Goldblatt is Professor of Pure Mathematics at New Zealand's Victoria University. Tab Content 6Author Website:Countries AvailableAll regions |
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