Title
Models and Ultraproducts: An Introduction (Dover Books on Mathematics),Used
Delivery time: 8-12 business days (International)
In this text for firstyear graduate students, the authors provide an elementary exposition of some of the basic concepts of model theoryfocusing particularly on the ultraproduct construction and the areas in which it is most useful. The book, which assumes only that its readers are acquainted with the rudiments of set theory, starts by developing the notions of Boolean algebra, propositional calculus, and predicate calculus.Model theory proper begins in the fourth chapter, followed by an introduction to ultraproduct construction, which includes a detailed look at its theoretic properties. An overview of elementary equivalence provides algebraic descriptions of the elementary classes. Discussions of completeness follow, along with surveys of the work of Jnsson and of Morley and Vaught on homogeneous universal models, and the results of Keisler in connection with the notion of a saturated structure. Additional topics include classical results of Gdel and Skolem, and extensions of classical firstorder logic in terms of generalized quantifiers and infinitary languages. Numerous exercises appear throughout the text.
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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