a mathematical introduction to logic

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A Mathematical Introduction To Logic

Author : Herbert Enderton
ISBN : 9780080496467
Genre : Mathematics
File Size : 57. 43 MB
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A Mathematical Introduction to Logic, Second Edition, offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets. * Increased flexibility of the text, allowing instructors more choice in how they use the textbook in courses. * Reduced mathematical rigour to fit the needs of undergraduate students

A Mathematical Introduction To Logic

Author : Herbert B. Enderton
ISBN : UOM:39015036987082
Genre : Mathematics
File Size : 51. 94 MB
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A Mathematical Introduction to Logic, Second Edition, offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.* Increased flexibility of the text, allowing instructors more choice in how they use the textbook in courses. * Reduced mathematical rigour to fit the needs of undergraduate students

A Introduction To Logic And Mathematics

Author : William V. Caldwell
ISBN : UOM:49015001345488
Genre : Mathematics
File Size : 34. 18 MB
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A Profile Of Mathematical Logic

Author : Howard DeLong
ISBN : UOM:39015011934893
Genre : Mathematics
File Size : 51. 72 MB
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Hilary Putnam On Logic And Mathematics

Author : Geoffrey Hellman
ISBN : 9783319962740
Genre : Mathematics
File Size : 49. 38 MB
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This book explores the research of Professor Hilary Putnam, a Harvard professor as well as a leading philosopher, mathematician and computer scientist. It features the work of distinguished scholars in the field as well as a selection of young academics who have studied topics closely connected to Putnam’s work. It includes 12 papers that analyze, develop, and constructively criticize this notable professor's research in mathematical logic, the philosophy of logic and the philosophy of mathematics. In addition, it features a short essay presenting reminiscences and anecdotes about Putnam from his friends and colleagues, and also includes an extensive bibliography of his work in mathematics and logic. The book offers readers a comprehensive review of outstanding contributions in logic and mathematics as well as an engaging dialogue between prominent scholars and researchers. It provides those interested in mathematical logic, the philosophy of logic, and the philosophy of mathematics unique insights into the work of Hilary Putnam.

Logic Of Mathematics

Author : Zofia Adamowicz
ISBN : 0471060267
Genre : Mathematics
File Size : 69. 29 MB
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A thorough, accessible, and rigorous presentation of the centraltheorems of mathematical logic . . . ideal for advanced students ofmathematics, computer science, and logic Logic of Mathematics combines a full-scale introductory course inmathematical logic and model theory with a range of speciallyselected, more advanced theorems. Using a strict mathematicalapproach, this is the only book available that contains completeand precise proofs of all of these important theorems: * Gödel's theorems of completeness and incompleteness * The independence of Goodstein's theorem from Peanoarithmetic * Tarski's theorem on real closed fields * Matiyasevich's theorem on diophantine formulas Logic of Mathematics also features: * Full coverage of model theoretical topics such as definability,compactness, ultraproducts, realization, and omission oftypes * Clear, concise explanations of all key concepts, from Booleanalgebras to Skolem-Löwenheim constructions and othertopics * Carefully chosen exercises for each chapter, plus helpfulsolution hints At last, here is a refreshingly clear, concise, and mathematicallyrigorous presentation of the basic concepts of mathematicallogic-requiring only a standard familiarity with abstract algebra.Employing a strict mathematical approach that emphasizes relationalstructures over logical language, this carefully organized text isdivided into two parts, which explain the essentials of the subjectin specific and straightforward terms. Part I contains a thorough introduction to mathematical logic andmodel theory-including a full discussion of terms, formulas, andother fundamentals, plus detailed coverage of relational structuresand Boolean algebras, Gödel's completeness theorem, models ofPeano arithmetic, and much more. Part II focuses on a number of advanced theorems that are centralto the field, such as Gödel's first and second theorems ofincompleteness, the independence proof of Goodstein's theorem fromPeano arithmetic, Tarski's theorem on real closed fields, andothers. No other text contains complete and precise proofs of allof these theorems. With a solid and comprehensive program of exercises and selectedsolution hints, Logic of Mathematics is ideal for classroom use-theperfect textbook for advanced students of mathematics, computerscience, and logic.

Bibliography Of Mathematical Logic

Author : Heinz-Dieter Ebbinghaus
ISBN : 9783662090589
Genre : Mathematics
File Size : 87. 98 MB
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Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.

Fundamentals Of Mathematical Logic

Author : Peter G. Hinman
ISBN : 9781439864272
Genre : Mathematics
File Size : 82. 52 MB
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This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.

Introduction To Mathematical Logic Fourth Edition

Author : Elliott Mendelson
ISBN : 0412808307
Genre : Mathematics
File Size : 46. 87 MB
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The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in mathematical logic. This edition includes an extensive appendix on second-order logic, a section on set theory with urlements, and a section on the logic that results when we allow models with empty domains. The text contains numerous exercises and an appendix furnishes answers to many of them. Introduction to Mathematical Logic includes: propositional logic first-order logic first-order number theory and the incompleteness and undecidability theorems of Gödel, Rosser, Church, and Tarski axiomatic set theory theory of computability The study of mathematical logic, axiomatic set theory, and computability theory provides an understanding of the fundamental assumptions and proof techniques that form basis of mathematics. Logic and computability theory have also become indispensable tools in theoretical computer science, including artificial intelligence. Introduction to Mathematical Logic covers these topics in a clear, reader-friendly style that will be valued by anyone working in computer science as well as lecturers and researchers in mathematics, philosophy, and related fields.

An Introduction To Mathematical Logic

Author : Richard E. Hodel
ISBN : 9780486497853
Genre : Mathematics
File Size : 66. 9 MB
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This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.

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