Topoi: The Categorial Analysis of Logic - Brossura

Goldblatt, Robert

Brossura

ISBN 10: 0486450260 ISBN 13: 9780486450261

Casa editrice: Dover Pubns, 2006

Riassunto

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.

Su questo libro

Contenuti:

1. 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 Definitions

Product Description:

Book by Goldblatt Robert Mathematics

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2006
• ISBN 10: 0486450260
• ISBN 13: 9780486450261
• Rilegatura: Copertina flessibile
• Numero di pagine: 551