a tour through mathematical logic

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A Tour Through Mathematical Logic

Author : Robert S. Wolf
ISBN : 0883850362
Genre : Mathematics
File Size : 89. 5 MB
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A guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from.

A Tour Through Mathematical Logic

Author : Robert S. Wolf
ISBN : 0883850427
Genre : Mathematics
File Size : 42. 44 MB
Format : PDF, Docs
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The foundations of mathematics include mathematical logic, set theory, recursion theory, model theory, and Gödel's incompleteness theorems. Professor Wolf provides here a guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from. It could also serve as a textbook for courses in the foundations of mathematics, at the undergraduate or graduate level. The book is deliberately less structured and more user-friendly than standard texts on foundations, so will also be attractive to those outside the classroom environment wanting to learn about the subject.

A Tour Through Mathematical Logic

Author : Robert S. Wolf
ISBN : 0883850362
Genre : Mathematics
File Size : 67. 21 MB
Format : PDF, Mobi
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A guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from.

Notes On Logic And Set Theory

Author : P. T. Johnstone
ISBN : 0521336929
Genre : Mathematics
File Size : 85. 76 MB
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A succinct introduction to mathematical logic and set theory, which together form the foundations for the rigorous development of mathematics. Suitable for all introductory mathematics undergraduates, Notes on Logic and Set Theory covers the basic concepts of logic: first-order logic, consistency, and the completeness theorem, before introducing the reader to the fundamentals of axiomatic set theory. Successive chapters examine the recursive functions, the axiom of choice, ordinal and cardinal arithmetic, and the incompleteness theorems. Dr. Johnstone has included numerous exercises designed to illustrate the key elements of the theory and to provide applications of basic logical concepts to other areas of mathematics.

A Profile Of Mathematical Logic

Author : Howard DeLong
ISBN : 9780486139159
Genre : Mathematics
File Size : 40. 75 MB
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This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired by this work.

Proof Logic And Conjecture

Author : Robert S. Wolf
ISBN : 0716730502
Genre : Mathematics
File Size : 26. 79 MB
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This text is designed to teach students how to read and write proofs in mathematics and to acquaint them with how mathematicians investigate problems and formulate conjecture.

Logic Of Mathematics

Author : Zofia Adamowicz
ISBN : 9781118030790
Genre : Mathematics
File Size : 73. 9 MB
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A thorough, accessible, and rigorous presentation of the central theorems of mathematical logic . . . ideal for advanced students of mathematics, computer science, and logic Logic of Mathematics combines a full-scale introductory course in mathematical logic and model theory with a range of specially selected, more advanced theorems. Using a strict mathematical approach, this is the only book available that contains complete and precise proofs of all of these important theorems: * Gödel's theorems of completeness and incompleteness * The independence of Goodstein's theorem from Peano arithmetic * 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 of types * Clear, concise explanations of all key concepts, from Boolean algebras to Skolem-Löwenheim constructions and other topics * Carefully chosen exercises for each chapter, plus helpful solution hints At last, here is a refreshingly clear, concise, and mathematically rigorous presentation of the basic concepts of mathematical logic-requiring only a standard familiarity with abstract algebra. Employing a strict mathematical approach that emphasizes relational structures over logical language, this carefully organized text is divided into two parts, which explain the essentials of the subject in specific and straightforward terms. Part I contains a thorough introduction to mathematical logic and model theory-including a full discussion of terms, formulas, and other fundamentals, plus detailed coverage of relational structures and Boolean algebras, Gödel's completeness theorem, models of Peano arithmetic, and much more. Part II focuses on a number of advanced theorems that are central to the field, such as Gödel's first and second theorems of incompleteness, the independence proof of Goodstein's theorem from Peano arithmetic, Tarski's theorem on real closed fields, and others. No other text contains complete and precise proofs of all of these theorems. With a solid and comprehensive program of exercises and selected solution hints, Logic of Mathematics is ideal for classroom use-the perfect textbook for advanced students of mathematics, computer science, and logic.

Propositional And Predicate Calculus A Model Of Argument

Author : Derek Goldrei
ISBN : 1846282292
Genre : Mathematics
File Size : 56. 11 MB
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Designed specifically for guided independent study. Features a wealth of worked examples and exercises, many with full teaching solutions, that encourage active participation in the development of the material. It focuses on core material and provides a solid foundation for further study.

Set Theory For The Working Mathematician

Author : Krzysztof Ciesielski
ISBN : 0521594650
Genre : Mathematics
File Size : 30. 94 MB
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Presents those methods of modern set theory most applicable to other areas of pure mathematics.

The Elements Of Mathematical Logic

Author : Paul C. Rosenbloom
ISBN : 9780486446172
Genre : Mathematics
File Size : 37. 35 MB
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This introduction to mathematical logic stresses the use of logical methods in attacking nontrivial problems. It covers the logic of classes, of propositions, of propositional functions, and the general syntax of language, with a brief introduction to so-called undecidability and incompleteness theorems; and much more. 1950 edition.

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