Henkin-Keisler Models. Mathematics and Its Applications

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Henkin-Keisler Models. Mathematics and...

Henkin-Keisler Models. Mathematics and Its Applications

Weaver, George

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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 ultra.
Abstract: 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 ultra

Kategoriler:

Mathematics - Logic

Yıl:

1997

Yayımcı:

Kluwer,Springer

Dil:

english

Sayfalar:

252

Seriler:

Mathematics and Its Applications