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Author: Patrick Kenny
Publisher:
ISBN: 9781524965730
Category :
Languages : en
Pages :
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Book Description
Author: Patrick Kenny
Publisher:
ISBN: 9781524965730
Category :
Languages : en
Pages :
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Book Description
Author: Shawn Hedman
Publisher: OUP Oxford
ISBN: 0191586773
Category : Mathematics
Languages : en
Pages : 452
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Book Description
The ability to reason and think in a logical manner forms the basis of learning for most mathematics, computer science, philosophy and logic students. Based on the author's teaching notes at the University of Maryland and aimed at a broad audience, this text covers the fundamental topics in classical logic in an extremely clear, thorough and accurate style that is accessible to all the above. Covering propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and model theory, the text also contains numerous carefully graded exercises and is ideal for a first or refresher course.
Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 0486150941
Category : Mathematics
Languages : en
Pages : 308
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Book Description
Rigorous introduction is simple enough in presentation and context for wide range of students. Symbolizing sentences; logical inference; truth and validity; truth tables; terms, predicates, universal quantifiers; universal specification and laws of identity; more.
Author: K. Codell Carter
Publisher: Addison-Wesley Longman
ISBN: 9780321277329
Category : Logic
Languages : en
Pages : 0
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Book Description
Providing students with a more understandable introduction to logic without sacrificing rigor, A First Course in Logic presents topics and methods in a highly accessible and integrated manner. By integrating and comparing topics throughout and using the same examples in different chapters, the author shows the utility and limitations of each method of logic. Consistent pedagogical structure helps students learn and study better; the introduction now emphasizes strategies and tactics for applying memorization rules. One-of-a-kind LSAT-type exercises apply logic to pre-professional exams. This Gold Edition of the text now uses more standard notation and has been thoroughly class-tested and revised for absolute accuracy of information.
Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 1107494583
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: Mark Verus Lawson
Publisher: CRC Press
ISBN: 135117536X
Category : Mathematics
Languages : en
Pages : 252
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Book Description
A First Course in Logic is an introduction to first-order logic suitable for first and second year mathematicians and computer scientists. There are three components to this course: propositional logic; Boolean algebras; and predicate/first-order, logic. Logic is the basis of proofs in mathematics — how do we know what we say is true? — and also of computer science — how do I know this program will do what I think it will? Surprisingly little mathematics is needed to learn and understand logic (this course doesn't involve any calculus). The real mathematical prerequisite is an ability to manipulate symbols: in other words, basic algebra. Anyone who can write programs should have this ability.
Author: Michael L. O'Leary
Publisher: John Wiley & Sons
ISBN: 1118548019
Category : Mathematics
Languages : en
Pages : 464
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Book Description
A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces how logic is used to prepare and structure proofs and solve more complex problems. The book begins with propositional logic, including two-column proofs and truth table applications, followed by first-order logic, which provides the structure for writing mathematical proofs. Set theory is then introduced and serves as the basis for defining relations, functions, numbers, mathematical induction, ordinals, and cardinals. The book concludes with a primer on basic model theory with applications to abstract algebra. A First Course in Mathematical Logic and Set Theory also includes: Section exercises designed to show the interactions between topics and reinforce the presented ideas and concepts Numerous examples that illustrate theorems and employ basic concepts such as Euclid’s lemma, the Fibonacci sequence, and unique factorization Coverage of important theorems including the well-ordering theorem, completeness theorem, compactness theorem, as well as the theorems of Löwenheim–Skolem, Burali-Forti, Hartogs, Cantor–Schröder–Bernstein, and König An excellent textbook for students studying the foundations of mathematics and mathematical proofs, A First Course in Mathematical Logic and Set Theory is also appropriate for readers preparing for careers in mathematics education or computer science. In addition, the book is ideal for introductory courses on mathematical logic and/or set theory and appropriate for upper-undergraduate transition courses with rigorous mathematical reasoning involving algebra, number theory, or analysis.
Author: P. D. Magnus
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 0
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Book Description
Author: Bruno Poizat
Publisher: Springer Science & Business Media
ISBN: 1441986227
Category : Mathematics
Languages : en
Pages : 472
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Book Description
Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.
Author: Howard DeLong
Publisher: Courier Corporation
ISBN: 0486139158
Category : Mathematics
Languages : en
Pages : 322
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Book Description
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.
