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{ "item_title" : "Model Theory for Beginners. 15 Lectures", "item_author" : [" Roman Kossak "], "item_description" : "This book presents an introduction to model theory in 15 lectures. It concentrates on several key concepts: first-order definability, classification of complete types, elementary extensions, categoricity, automorphisms, and saturation; all illustrated with examples that require neither advanced alegbra nor set theory. A full proof of the compactness theorem for countable languages and its applications are given, followed by a discussion of the Ehrefeucht-Mostowski technique for constructing models admitting automorphisms. Additional topics include recursive saturation, nonstandard models of arithmetic, Abraham Robinson's model-theoretic proof of Tarski's theorem on undefinability of truth, and the proof of the Infinite Ramsey Theorem using an elementary extension of the standard model of arithmetic.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/1/84/890/361/1848903618_b.jpg", "price_data" : { "retail_price" : "18.50", "online_price" : "18.50", "our_price" : "18.50", "club_price" : "18.50", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Model Theory for Beginners. 15 Lectures|Roman Kossak

Model Theory for Beginners. 15 Lectures

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Overview

This book presents an introduction to model theory in 15 lectures. It concentrates on several key concepts: first-order definability, classification of complete types, elementary extensions, categoricity, automorphisms, and saturation; all illustrated with examples that require neither advanced alegbra nor set theory. A full proof of the compactness theorem for countable languages and its applications are given, followed by a discussion of the Ehrefeucht-Mostowski technique for constructing models admitting automorphisms. Additional topics include recursive saturation, nonstandard models of arithmetic, Abraham Robinson's model-theoretic proof of Tarski's theorem on undefinability of truth, and the proof of the Infinite Ramsey Theorem using an elementary extension of the standard model of arithmetic.

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Details

  • ISBN-13: 9781848903616
  • ISBN-10: 1848903618
  • Publisher: College Publications
  • Publish Date: February 2021
  • Dimensions: 9.21 x 6.14 x 0.33 inches
  • Shipping Weight: 0.49 pounds
  • Page Count: 152

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