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Models and Games (Cambridge Studies in Advanced Mathematics) by Jouko V????n??nen (2011-05-05)

Penned By Jouko Väänänen
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Models and Games (Cambridge Studies in Advanced Mathematics) by Jouko V????n??nen (2011-05-05)

Penned By Jouko Väänänen
4.85 84,961 Ratings
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Editor's Note:
This gentle introduction to logic and model theory is based on a systematic use of three important games in logic: the semantic game; the Ehrenfeucht-Fra�ss� game; and the model existence game. The third game has not been isolated in the literature before but it underlies the concepts of Beth tableaux and consistency properties. Jouko V��n�nen shows that these games are closely related and in turn govern the three interrelated concepts of logic: truth, elementary equivalence and proof. All three methods are developed not only for first order logic but also for infinitary logic and generalized quantifiers. Along the way, the author also proves completeness theorems for many logics, including the cofinality quantifier logic of Shelah, a fully compact extension of first order logic. With over 500 exercises this book is ideal for graduate courses, covering the basic material as well as more advanced applications.

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Released May 5, 2011
Identifier (ISBN) 168528222
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Jouko Väänänen
The Mind Behind the Work
Jouko Väänänen

After spending years working in the corporate world, Jouko Väänänen finally decided to pursue a lifelong passion for writing. They currently reside in a quiet suburb where they spend most of their time outlining new stories, reading extensively, and occasionally attempting to bake.

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"Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
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"I was completely blown away. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading."
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"Absolutely brilliant. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
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"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
Richard Lee
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