Elements Of Mathematical Logic

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The Elements of Mathematical Logic

Author : Paul C. Rosenbloom
Publisher : Courier Dover Publications
ISBN 13 : 9780486446172
Total Pages : 0 pages
Book Rating : 4.4/5 (461 download)

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Book Synopsis The Elements of Mathematical Logic by : Paul C. Rosenbloom

Download or read book The Elements of Mathematical Logic written by Paul C. Rosenbloom and published by Courier Dover Publications. This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An excellent introduction to mathematical logic, this book provides readers with a sound knowledge of the most important approaches to the subject, stressing the use of logical methods in attacking nontrivial problems. Its chapters cover the logic of classes (including a section on the structure and representation of Boolean algebras, which are applied in the following chapters to the study of deductive systems), the logic of propositions, the logic of propositional functions (summarizing the methods of Russell, Quine, Zermelo, Curry, and Church for the construction of such logics), and the general syntax of language, with a brief introduction that also illustrates applications to so-called undecidability and incompleteness theorems. Other topics include the simple proof of the completeness of the theory of combinations, Church's theorem on the recursive unsolvability of the decision problem for the restricted function calculus, and the demonstrable properties of a formal system as a criterion for its acceptability.

Elements of Mathematical Logic and Set Theory

Author : Jerzy Słupecki
Publisher : Pergamon
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elements of Mathematical Logic and Set Theory by : Jerzy Słupecki

Download or read book Elements of Mathematical Logic and Set Theory written by Jerzy Słupecki and published by Pergamon. This book was released on 1967 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Mathematical Logic

Author : Georg Kreisel
Publisher : Elsevier
ISBN 13 : 9780444534125
Total Pages : 222 pages
Book Rating : 4.5/5 (341 download)

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Book Synopsis Elements of Mathematical Logic by : Georg Kreisel

Download or read book Elements of Mathematical Logic written by Georg Kreisel and published by Elsevier. This book was released on 1967 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Mathematical Logic

Author : Jan Łukasiewicz
Publisher :
ISBN 13 :
Total Pages : 127 pages
Book Rating : 4.:/5 (183 download)

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Book Synopsis Elements of Mathematical Logic by : Jan Łukasiewicz

Download or read book Elements of Mathematical Logic written by Jan Łukasiewicz and published by . This book was released on 1966 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Mathematical Logic

Author : Georg Kreisel
Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elements of Mathematical Logic by : Georg Kreisel

Download or read book Elements of Mathematical Logic written by Georg Kreisel and published by . This book was released on 1967 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the principles of the Axiomatic Method, here formulated in set theoretic, also called: semantic, terms. This book also contains the elementary, more or less classical, results of its subject. Each of its eight chapters is preceded by a summary which not only indicates the general content of the chapter, but also the relation of the exercises to the main theorems.

Elements of Mathematical Logic and Set Theory

Author : Jerzy Słupecki
Publisher : Pergamon
ISBN 13 :
Total Pages : 372 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Elements of Mathematical Logic and Set Theory by : Jerzy Słupecki

Download or read book Elements of Mathematical Logic and Set Theory written by Jerzy Słupecki and published by Pergamon. This book was released on 1967 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Logic via Numbers and Sets

Author : D.L. Johnson
Publisher : Springer Science & Business Media
ISBN 13 : 1447106032
Total Pages : 179 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Elements of Logic via Numbers and Sets by : D.L. Johnson

Download or read book Elements of Logic via Numbers and Sets written by D.L. Johnson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using clear, simple explanations that require no background knowledge of logic. It gives many useful examples and problems, many with fully-worked solutions at the end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.

Elements of Mathematical Logic

Author : Jan Lukasiewicz
Publisher :
ISBN 13 :
Total Pages : 127 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Elements of Mathematical Logic by : Jan Lukasiewicz

Download or read book Elements of Mathematical Logic written by Jan Lukasiewicz and published by . This book was released on 1991 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Mathematical Logic

Author : Peter G. Hinman
Publisher : CRC Press
ISBN 13 : 1439864276
Total Pages : 894 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Fundamentals of Mathematical Logic by : Peter G. Hinman

Download or read book Fundamentals of Mathematical Logic written by Peter G. Hinman and published by CRC Press. This book was released on 2018-10-08 with total page 894 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Concise Introduction to Mathematical Logic

Author : Wolfgang Rautenberg
Publisher : Springer
ISBN 13 : 1441912215
Total Pages : 337 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A Concise Introduction to Mathematical Logic by : Wolfgang Rautenberg

Download or read book A Concise Introduction to Mathematical Logic written by Wolfgang Rautenberg and published by Springer. This book was released on 2010-07-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.

Mathematical Logic

Author : Roman Kossak
Publisher : Springer
ISBN 13 : 3319972987
Total Pages : 186 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Mathematical Logic by : Roman Kossak

Download or read book Mathematical Logic written by Roman Kossak and published by Springer. This book was released on 2018-10-03 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, presented in two parts, offers a slow introduction to mathematical logic, and several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions. Its first part, Logic Sets, and Numbers, shows how mathematical logic is used to develop the number structures of classical mathematics. The exposition does not assume any prerequisites; it is rigorous, but as informal as possible. All necessary concepts are introduced exactly as they would be in a course in mathematical logic; but are accompanied by more extensive introductory remarks and examples to motivate formal developments. The second part, Relations, Structures, Geometry, introduces several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions, and shows how they are used to study and classify mathematical structures. Although more advanced, this second part is accessible to the reader who is either already familiar with basic mathematical logic, or has carefully read the first part of the book. Classical developments in model theory, including the Compactness Theorem and its uses, are discussed. Other topics include tameness, minimality, and order minimality of structures. The book can be used as an introduction to model theory, but unlike standard texts, it does not require familiarity with abstract algebra. This book will also be of interest to mathematicians who know the technical aspects of the subject, but are not familiar with its history and philosophical background.

Elements of Mathematics

Author : John Stillwell
Publisher : Princeton University Press
ISBN 13 : 0691178542
Total Pages : 440 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Elements of Mathematics by : John Stillwell

Download or read book Elements of Mathematics written by John Stillwell and published by Princeton University Press. This book was released on 2017-11-07 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

The Elements of Mathematical Logic

Author : Paul C. Rosenbloom
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Elements of Mathematical Logic by : Paul C. Rosenbloom

Download or read book The Elements of Mathematical Logic written by Paul C. Rosenbloom and published by . This book was released on 1950 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is intended for readers who, while mature mathematically, have no knowledge of mathematical logic. We attempt to introduce the reader to the most important approaches to the subject, and, wherever possible within the limitations of space which we have set for ourselves, to give at least a few nontrivial results illustrating each of the important methods for attacking logical problems"--Preface.

The Elements of Formal Logic

Author : G. E. Hughes
Publisher : Routledge
ISBN 13 : 100073658X
Total Pages : 421 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis The Elements of Formal Logic by : G. E. Hughes

Download or read book The Elements of Formal Logic written by G. E. Hughes and published by Routledge. This book was released on 2019-11-04 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1965. This is a textbook of modern deductive logic, designed for beginners but leading further into the heart of the subject than most other books of the kind. The fields covered are the Propositional Calculus, the more elementary parts of the Predicate Calculus, and Syllogistic Logic treated from a modern point of view. In each of the systems discussed the main emphases are on Decision Procedures and Axiomatisation, and the material is presented with as much formal rigour as is compatible with clarity of exposition. The techniques used are not only described but given a theoretical justification. Proofs of Consistency, Completeness and Independence are set out in detail. The fundamental characteristics of the various systems studies, and their relations to each other are established by meta-logical proofs, which are used freely in all sections of the book. Exercises are appended to most of the chapters, and answers are provided.

Elements of Set Theory

Author : Herbert B. Enderton
Publisher : Academic Press
ISBN 13 : 0080570429
Total Pages : 279 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Elements of Set Theory by : Herbert B. Enderton

Download or read book Elements of Set Theory written by Herbert B. Enderton and published by Academic Press. This book was released on 1977-05-23 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.

Mathematical Logic

Author : Wei Li
Publisher :
ISBN 13 : 9783034808637
Total Pages : 316 pages
Book Rating : 4.8/5 (86 download)

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Book Synopsis Mathematical Logic by : Wei Li

Download or read book Mathematical Logic written by Wei Li and published by . This book was released on 2014-11-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Logic

Author : Alfred Tarski
Publisher : Courier Corporation
ISBN 13 : 0486318893
Total Pages : 272 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Introduction to Logic by : Alfred Tarski

Download or read book Introduction to Logic written by Alfred Tarski and published by Courier Corporation. This book was released on 2013-07-04 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.