Topoi
eBook - PDF

Topoi

The Categorial Analysis of Logic

  1. 565 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Topoi

The Categorial Analysis of Logic

Book details
Table of contents
Citations

About This Book

The first of its kind, this book presents a widely accessible exposition of topos theory, aimed at the philosopher-logician as well as the mathematician. It is suitable for individual study or use in class at the graduate level (it includes 500 exercises). It begins with a fully motivated introduction to category theory itself, moving always from the particular example to the abstract concept. It then introduces the notion of elementary topos, with a wide range of examples and goes on to develop its theory in depth, and to elicit in detail its relationship to Kripke's intuitionistic semantics, models of classical set theory and the conceptual framework of sheaf theory (``localization'' of truth). Of particular interest is a Dedekind-cuts style construction of number systems in topoi, leading to a model of the intuitionistic continuum in which a ``Dedekind-real'' becomes represented as a ``continuously-variable classical real number''.The second edition contains a new chapter, entitled Logical Geometry, which introduces the reader to the theory of geometric morphisms of Grothendieck topoi, and its model-theoretic rendering by Makkai and Reyes. The aim of this chapter is to explain why Deligne's theorem about the existence of points of coherent topoi is equivalent to the classical Completeness theorem for ``geometric'' first-order formulae.

Frequently asked questions

Simply head over to the account section in settings and click on “Cancel Subscription” - it’s as simple as that. After you cancel, your membership will stay active for the remainder of the time you’ve paid for. Learn more here.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Both plans give you full access to the library and all of Perlego’s features. The only differences are the price and subscription period: With the annual plan you’ll save around 30% compared to 12 months on the monthly plan.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes, you can access Topoi by R. Goldblatt in PDF and/or ePUB format, as well as other popular books in Matemáticas & Álgebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
2014
ISBN
9781483299211
Edition
2
Topic
Matemáticas
Subtopic
Álgebra

Table of contents

  1. Front Cover
  2. Topoi: The Categorial Analysis of Logic
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. PREFACE
  7. PREFACE TO SECOND EDITION
  8. PROSPECTUS
  9. CHAPTER 1. MATHEMATICS = SET THEORY?
  10. CHAPTER 2. WHAT CATEGORIES ARE
  11. CHAPTER 3. ARROWS INSTEAD OF EPSILON
  12. CHAPTER 4. INTRODUCING TOPOI
  13. CHAPTER 5. TOPOS STRUCTURE: FIRST STEPS
  14. CHAPTER 6. LOGIC CLASSICALLY CONCEIVED
  15. CHAPTER 7. ALGEBRA OF SUBOBJECTS
  16. CHAPTER 8. INTUITIONISM AND ITS LOGIC
  17. CHAPTER 9. FUNCTORS
  18. CHAPTER 10. SET CONCEPTS AND VALIDITY
  19. CHAPTER 11. ELEMENTARY TRUTH
  20. CHAPTER 12. CATEGORIAL SET THEORY
  21. CHAPTER 13. ARITHMETIC
  22. CHAPTER 14. LOCAL TRUTH
  23. CHAPTER 15. ADJOINTNESS AND QUANTIFIERS
  24. CHAPTER 16. LOGICAL GEOMETRY
  25. REFERENCES
  26. CATALOGUE OF NOTATION
  27. INDEX OF DEFINITIONS