A Concise Introduction to Logic PDF Download

Author: Craig DeLancey
Publisher: Open SUNY Textbooks
ISBN: 9781942341437
Category :
Languages : en
Pages :

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Author: Wolfgang Rautenberg
Publisher: Springer
ISBN: 1441912215
Category : Mathematics
Languages : en
Pages : 337

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Book Description
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.

Author: Merrie Bergmann
Publisher: McGraw-Hill Humanities/Social Sciences/Languages
ISBN: 9780073535630
Category : Philosophy
Languages : en
Pages : 0

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Book Description
This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.

Author: P. D. Magnus
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 0

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Author: Yu.I. Manin
Publisher: Springer Science & Business Media
ISBN: 1475743858
Category : Mathematics
Languages : en
Pages : 296

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Book Description
1. This book is above all addressed to mathematicians. It is intended to be a textbook of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last ten or fifteen years. These include: the independence of the continuum hypothe sis, the Diophantine nature of enumerable sets, the impossibility of finding an algorithmic solution for one or two old problems. All the necessary preliminary material, including predicate logic and the fundamentals of recursive function theory, is presented systematically and with complete proofs. We only assume that the reader is familiar with "naive" set theoretic arguments. In this book mathematical logic is presented both as a part of mathe matics and as the result of its self-perception. Thus, the substance of the book consists of difficult proofs of subtle theorems, and the spirit of the book consists of attempts to explain what these theorems say about the mathematical way of thought. Foundational problems are for the most part passed over in silence. Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life. 2. The first two chapters are devoted to predicate logic. The presenta tion here is fairly standard, except that semantics occupies a very domi nant position, truth is introduced before deducibility, and models of speech in formal languages precede the systematic study of syntax.

Author: Vern S. Poythress
Publisher: Crossway
ISBN: 1433532328
Category : Religion
Languages : en
Pages : 736

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Book Description
For the well-rounded Christian looking to improve their critical thinking skills, here is an accessible introduction to the study of logic (parts 1 & 2) as well as an in-depth treatment of the discipline (parts 3 & 4) from a professor with 6 academic degrees and over 30 years experience teaching. Questions for further reflection are included at the end of each chapter as well as helpful diagrams and charts that are appropriate for use in high school, home school, college, and graduate-level classrooms. Overall, Vern Poythress has undertaken a radical recasting of the study of logic in this revolutionary work from a Christian worldview.

Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 0486138054
Category : Mathematics
Languages : en
Pages : 340

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Book Description
Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates.

Author: Abraham Wolf
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 364

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Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 9780521008044
Category : Mathematics
Languages : en
Pages : 370

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Book Description
Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.

Author: Paul A. Gregory
Publisher: Broadview Press
ISBN: 1770485945
Category : Mathematics
Languages : en
Pages : 474

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Book Description
Formal Logic is an undergraduate text suitable for introductory, intermediate, and advanced courses in symbolic logic. The book’s nine chapters offer thorough coverage of truth-functional and quantificational logic, as well as the basics of more advanced topics such as set theory and modal logic. Complex ideas are explained in plain language that doesn’t presuppose any background in logic or mathematics, and derivation strategies are illustrated with numerous examples. Translations, tables, trees, natural deduction, and simple meta-proofs are taught through over 400 exercises. A companion website offers supplemental practice software and tutorial videos.