Henkin-Keisler Models
(Sprache: Englisch)
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...
Voraussichtlich lieferbar in 3 Tag(en)
versandkostenfrei
Buch (Kartoniert)
54.99 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „Henkin-Keisler Models “
Klappentext zu „Henkin-Keisler Models “
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.
Inhaltsverzeichnis zu „Henkin-Keisler Models “
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.
Bibliographische Angaben
- Autor: George Weaver
- 2013, Softcover reprint of the original 1st ed. 1997, XII, 258 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1475770766
- ISBN-13: 9781475770766
Sprache:
Englisch
Kommentar zu "Henkin-Keisler Models"
Schreiben Sie einen Kommentar zu "Henkin-Keisler Models".
Kommentar verfassen