David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Dover Publications (1967)
Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text by one of the centuries greatest authorities on the subject. Part I offers an elementary but thorough overview of mathematical logic of first order. The treatment does not stop with a single method of formulating logic; students receive instruction in a variety of techniques, first learning model theory (truth tables), then Hilbert-type proof theory, and proof theory handled through derived rules. Part II supplements the material covered in Part I and introduces some of the newer ideas and the more profound results of logical research in the twentieth century. Subsequent chapters introduce the study of formal number theory, with surveys of the famous incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations of Godel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic, and other theorems. Unabridged republication of the edition published by John Wiley & Sons, Inc. New York, 1967. Preface. Bibliography. Theorem and Lemma Numbers: Pages. List of Postulates. Symbols and Notations. Index.
|Keywords||Mathematics Philosophy Logic, Symbolic and mathematical|
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|Buy the book||$12.16 used (52% off) $13.99 new (44% off) $19.56 direct from Amazon (22% off) Amazon page|
|Call number||QA9.A1.K54 2002|
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Citations of this work BETA
Nicholas J. J. Smith (2009). Frege's Judgement Stroke and the Conception of Logic as the Study of Inference Not Consequence. Philosophy Compass 4 (4):639-665.
Francisco Antonio Doria (2007). Informal Versus Formal Mathematics. Synthese 154 (3):401 - 415.
Daniel Osherson (2004). The Conjunction Fallacy: A Misunderstanding About Conjunction? Cognitive Science 28 (3):467-477.
Joshua M. Epstein (1999). Agent-Based Computational Models and Generative Social Science. Complexity 4 (5):41-60.
Z. Šikić (1984). Multiple Forms of Gentzen's Rules and Some Intermediate Logics. Mathematical Logic Quarterly 30 (19‐24):335-338.
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