ebooks and download videos Search All  Title  Author 
Home / Nonfiction / Mathematics / Algebra

Topoi: The Categorial Analysis of Logic

| £60.78 | €68.36 | Ca$98.61 | Au$97.32
by R. Goldblatt
What is this?DRM-PDF | by download   add to wish list
Topoi: The Categorial Analysis of Logic by R. Goldblatt

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.

To view this DRM protected ebook on your desktop or laptop you will need to have Adobe Digital Editions installed. It is a free software. We also strongly recommend that you sign up for an AdobeID at the Adobe website. For more details please see FAQ 1&2. To view this ebook on an iPhone, iPad or Android mobile device you will need the Adobe Digital Editions app, or BlueFire Reader or Txtr app. These are free, too. For more details see this article.

SHARE  Share by Email  Share on Facebook  Share on Twitter  Share on Linked In  Share on Delicious
or call in the US toll free 1-888-866-9150 product ID: 661155

Ebook Details
Pages: 565
Size: 26.2 MB
Publisher: North Holland
Date published:   2014
ISBN: 9781483299211 (DRM-PDF)

DRM Settings
Read Aloud:  not allowed

This product is listed in the following category:

Nonfiction > Mathematics > Algebra

If you find anything wrong with this product listing, perhaps the description is wrong, the author is incorrect, or it is listed in the wrong category, then please contact us. We will promptly address your feedback.

Submit 5 page SummaryWhat is this?

© 2016