Topoi : The Categorial Analysis of Logic (9780486450261)

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A 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.

Product details

• Format Paperback | 576 pages
• Dimensions 139 x 215 x 29mm | 594g
• Publication date 26 May 2006
• Publisher Dover Publications Inc.
• Publication City/Country New York, United States
• Language English
• Edition Revised
• Edition Statement Revised ed.
• Illustrations note Illustrations, unspecified
• ISBN10 0486450260
• ISBN13 9780486450261
• Bestsellers rank 252,506

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