Topoi The Categorial Analysis of Logic

ISBN-10: 0486450260

ISBN-13: 9780486450261

Edition: 2006

Authors: Robert Goldblatt

List price: $29.95 Buy it from $23.42
eBook available
30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description:

A classic exposition of a branch of mathematical logic that uses category theory, this text is suitable for advanced undergraduates and graduate students and accessible to both philosophically and mathematically oriented readers. Robert Goldblatt is Professor of Pure Mathematics at New Zealand's Victoria University. 1983 edition.
New Starting from $23.42
eBooks Starting from $29.95
Buy eBooks
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!
Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Periodic Table Online content $4.95 $1.99
Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
Algebra Online content $4.95 $1.99
Customers also bought
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $29.95
Copyright year: 2006
Publisher: Dover Publications, Incorporated
Publication date: 4/28/2006
Binding: Paperback
Pages: 576
Size: 5.00" wide x 8.25" long x 1.00" tall
Weight: 1.540
Language: English

Preface
Preface to Second Edition
Preface to Dover Edition
Prospectus
Mathematics = Set Theory?
Set theory
Foundations of mathematics
Mathematics as set theory
What Categories Are
Functions are sets?
Composition of functions
Categories: first examples
The pathology of abstraction
Basic examples
Arrows Instead of Epsilon
Monic arrows
Epic arrows
Iso arrows
Isomorphic objects
Initial objects
Terminal objects
Duality
Products
Co-products
Equalisers
Limits and co-limits
Co-equalisers
The pullback
Pushouts
Completeness
Exponentiation
Introducing Topoi
Subobjects
Classifying subobjects
Definition of topos
First examples
Bundles and sheaves
Monoid actions
Power objects
[Omega] and comprehension
Topos Structure: First Steps
Monics equalise
Images of arrows
Fundamental facts
Extensionality and bivalence
Monics and epics by elements
Logic Classically Conceived
Motivating topos logic
Propositions and truth-values
The propositional calculus
Boolean algebra
Algebraic semantics
Truth-functions as arrows
[epsilon]-semantics
Algebra of Subobjects
Complement, intersection, union
Sub(d) as a lattice
Boolean topoi
Internal vs. external
Implication and its implications
Filling two gaps
Extensionality revisited
Intuitionism and its Logic
Constructivist philosophy
Heyting's calculus
Heyting algebras
Kripke semantics
Functors
The concept of functor
Natural transformations
Functor categories
Set Concepts and Validity
Set concepts
Heyting algebras in P
The subobject classifier in Set[superscript p]
The truth arrows
Validity
Applications
Elementary Truth
The idea of a first-order language
Formal language and semantics
Axiomatics
Models in a topos
Substitution and soundness
Kripke models
Completeness
Existence and free logic
Heyting-valued sets
High-order logic
Categorial Set Theory
Axioms of choice
Natural numbers objects
Formal set theory
Transitive sets
Set-objects
Equivalence of models
Arithmetic
Topoi as foundations
Primitive recursion
Peano postulates
Local Truth
Stacks and sheaves
Classifying stacks and sheaves
Grothendieck topoi
Elementary sites
Geometric modality
Kripke-Joyal semantics
Sheaves as complete [Omega]-sets
Number systems as sheaves
Adjointness and Quantifiers
Adjunctions
Some adjoint situations
The fundamental theorem
Quantifiers
Logical Geometry
Preservation and reflection
Geometric morphisms
Internal logic
Geometric logic
Theories as sites
References
Catalogue of Notation
Index of Definitions
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×