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Henkin-Keisler Models
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Located in: NY, United States
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Estimated between Fri, 31 May and Fri, 7 Jun to 43230
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eBay item number:315104758202
Item specifics
- Condition
- PublishedOn
- 2013-10-04
- Title
- Henkin-Keisler Models
- ISBN
- 9781475770766
- Publication Name
- Henkin-Keisler Models
- Item Length
- 9.3in
- Publisher
- Springer
- Publication Year
- 2013
- Series
- Mathematics and Its Applications Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.2in
- Item Width
- 6.1in
- Item Weight
- 15.1 Oz
- Number of Pages
- Xii, 258 Pages
About this product
Product Information
Henkin-Keisler models emanate from a modification of the Henkin construction introduced by Keisler to motivate the definition of ultraproducts. Keisler modified the Henkin construction at that point at which 'new' individual constants are introduced and did so in a way that illuminates a connection between Henkin-Keisler models and ultraproducts. The resulting construction can be viewed both as a specialization of the Henkin construction and as an alternative to the ultraproduct construction. These aspects of the Henkin-Keisler construction are utilized here to present a perspective on ultraproducts and their applications accessible to the reader familiar with Henkin's proof of the completeness of first order logic and naive set theory. This approach culminates in proofs of various forms of the Keisler-Shelah characterizations of elementary equivalence and elementary classes via Henkin-Keisler models. The presentation is self-contained and proofs of more advanced results from set theory are introduced as needed. Audience: Logicians in philosophy, computer science, linguistics and mathematics.
Product Identifiers
Publisher
Springer
ISBN-10
1475770766
ISBN-13
9781475770766
eBay Product ID (ePID)
175911116
Product Key Features
Publication Name
Henkin-Keisler Models
Format
Trade Paperback
Language
English
Publication Year
2013
Series
Mathematics and Its Applications Ser.
Type
Textbook
Number of Pages
Xii, 258 Pages
Dimensions
Item Length
9.3in
Item Height
0.2in
Item Width
6.1in
Item Weight
15.1 Oz
Additional Product Features
Series Volume Number
392
Number of Volumes
1 Vol.
Lc Classification Number
Qa8.9-10.3
Table of Content
Keisler,s Specialization of the Method of Constants.- The Cardinality of Henkin-Keisler Models.- Classifying Maximal Extensions.- Elementary Subsystems of Henkin-Keisler Models I.- Elementary Subsystems of Henkin-Keisler Models II.- Small Models.- The Keisler-Shelah Isomorphism Theorems.- Saturated Models.
Copyright Date
1997
Topic
General, Logic
Dewey Decimal
511.3
Intended Audience
Scholarly & Professional
Dewey Edition
21
Illustrated
Yes
Genre
Computers, Mathematics, Philosophy
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Business seller information
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eBay item number:315104758202
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