Topoi: The Categorial Analysis of Logic (Dover Books on Mathematics) (Paperback)

Topoi: The Categorial Analysis of Logic (Dover Books on Mathematics) By Robert Goldblatt Cover Image
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Description


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
ISBN: 9780486450261
ISBN-10: 0486450260
Publisher: Dover Publications
Publication Date: April 28th, 2006
Pages: 592
Language: English
Series: Dover Books on Mathematics