Topoi

The Categorial Analysis of Logic

Nonfiction, Science & Nature, Mathematics, Logic
Cover of the book Topoi by Robert Goldblatt, Dover Publications
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Author: Robert Goldblatt ISBN: 9780486317960
Publisher: Dover Publications Publication: July 25, 2013
Imprint: Dover Publications Language: English
Author: Robert Goldblatt
ISBN: 9780486317960
Publisher: Dover Publications
Publication: July 25, 2013
Imprint: Dover Publications
Language: English
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.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
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.

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