[PDF.29rk] Set Theoretical Logic-The Algebra of Models (Lectures on Mathematical Logic)

Set Theoretical Logic-The Algebra of Models (Lectures on Mathematical Logic)

[PDF.lm88] Set Theoretical Logic-The Algebra of Models (Lectures on Mathematical Logic)

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 | #1807486 in Books |  2000-05-30 | Original language:English | PDF # 1 |  9.26 x.94 x6.18l,1.46 | File type: PDF | 296 pages

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|| |"A complete representation of the current knowledge in Mathematical Logic in a detailed and precise manner." -- Prof. Michael M. Richter of University of Kaiserslautern, Germany

This is an introduction to mathematical logic in which all the usual topics are presented: compactness and axiomatizability of semantical consequence, Löwenheim-Skolem-Tarski theorems, prenex and other normal forms, and characterizations of elementary classes with the help of ultraproducts. Logic is based exclusively on semantics: truth and satisfiability of formulas in structures are the basic notions. The methods are algebraic in the sense that notions such as hom...

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