ELEMENTARY LOGIC REV ED P

ELEMENTARY LOGIC REV ED P

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  • Author: W. V. QUINE
  • Publisher: Harvard University Press
  • ISBN: 0674042492
  • Category : Philosophy
  • Languages : en
  • Pages : 144

Now much revised since its first appearance in 1941, this book, despite its brevity, is notable for its scope and rigor. It provides a single strand of simple techniques for the central business of modern logic. Basic formal concepts are explained, the paraphrasing of words into symbols is treated at some length, and a testing procedure is given for truth-function logic along with a complete proof procedure for the logic of quantifiers. Fully one third of this revised edition is new, and presents a nearly complete turnover in crucial techniques of testing and proving, some change of notation, and some updating of terminology. The study is intended primarily as a convenient encapsulation of minimum essentials, but concludes by giving brief glimpses of further matters.


Introduction to Logic

Introduction to Logic

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  • Author: Harry J Gensler
  • Publisher: Routledge
  • ISBN: 1136994521
  • Category : Philosophy
  • Languages : en
  • Pages : 510

Introduction to Logic combines likely the broadest scope of any logic textbook available with clear, concise writing and interesting examples and arguments. Its key features, all retained in the Second Edition, include: • simpler ways to test arguments than those available in competing textbooks, including the star test for syllogisms • a wide scope of materials, making it suitable for introductory logic courses (as the primary text) or intermediate classes (as the primary or supplementary book) • engaging and easy-to-understand examples and arguments, drawn from everyday life as well as from the great philosophers • a suitability for self-study and for preparation for standardized tests, like the LSAT • a reasonable price (a third of the cost of many competitors) • exercises that correspond to the LogiCola program, which may be downloaded for free from the web. This Second Edition also: • arranges chapters in a more useful way for students, starting with the easiest material and then gradually increasing in difficulty • provides an even broader scope with new chapters on the history of logic, deviant logic, and the philosophy of logic • expands the section on informal fallacies • includes a more exhaustive index and a new appendix on suggested further readings • updates the LogiCola instructional program, which is now more visually attractive as well as easier to download, install, update, and use.


An Introduction to Formal Logic

An Introduction to Formal Logic

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

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.


Logic and Structure

Logic and Structure

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  • Author: Dirk van Dalen
  • Publisher: Springer Science & Business Media
  • ISBN: 3662023822
  • Category : Mathematics
  • Languages : en
  • Pages : 218

New corrected printing of a well-established text on logic at the introductory level.


Logic for Philosophy

Logic for Philosophy

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  • Author: Theodore Sider
  • Publisher: Oxford University Press
  • ISBN: 0192658816
  • Category : Philosophy
  • Languages : en
  • Pages : 305

Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.


A Concise Introduction to Mathematical Logic

A Concise Introduction to Mathematical Logic

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

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.


Computability and Logic

Computability and Logic

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  • Author: George S. Boolos
  • Publisher: Cambridge University Press
  • ISBN: 0521877520
  • Category : Computers
  • Languages : en
  • Pages : 365

This fifth edition of 'Computability and Logic' covers not just the staple topics of an intermediate logic course such as Godel's incompleteness theorems, but also optional topics that include Turing's theory of computability and Ramsey's theorem.


A Course in Mathematical Logic for Mathematicians

A Course in Mathematical Logic for Mathematicians

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  • Author: Yu. I. Manin
  • Publisher: Springer Science & Business Media
  • ISBN: 1441906150
  • Category : Mathematics
  • Languages : en
  • Pages : 389

1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic: (i) Model theory has shown that insights acquired in the study of formal languages could be used fruitfully in solving old problems of conventional mathematics. (ii) Mathematics has been and is moving with growing acceleration from the set-theoretic language of structures to the language and intuition of (higher) categories, leaving behind old concerns about in?nities: a new view of foundations is now emerging. (iii) Computer science, a no-nonsense child of the abstract computability theory, has been creatively dealing with old challenges and providing new ones, such as the P/NP problem. Planning additional chapters for this second edition, I have decided to focus onmodeltheory,the conspicuousabsenceofwhichinthe ?rsteditionwasnoted in several reviews, and the theory of computation, including its categorical and quantum aspects. The whole Part IV: Model Theory, is new. I am very grateful to Boris I. Zilber, who kindly agreed to write it. It may be read directly after Chapter II. The contents of the ?rst edition are basically reproduced here as Chapters I–VIII. Section IV.7, on the cardinality of the continuum, is completed by Section IV.7.3, discussing H. Woodin’s discovery.


Elementary Applied Symbolic Logic

Elementary Applied Symbolic Logic

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  • Author: Bangs Tapscott
  • Publisher:
  • ISBN: 9781976891427
  • Category :
  • Languages : en
  • Pages : 531

Elementary Applied Symbolic Logic was first published by Prentice-Hall in 1976. It went through two editions with them, then had a successful classroom run of 25 years by various publishers, before it finally went out of print in 2001.I am reviving it here, because during its run it acquired a reputation as an outstanding textbook for getting students to understand symbolic logic.I immodestly believe it is the best textbook ever written on the subject.------------This is a book on applied symbolic logic. It provides the bridge between statements and arguments in English, and their formal counterparts in symbolic logic. Extensive exercises are given, illustrating how different natural-language concepts can correspond to the same symbolism, and how English sentences may be translated into formulae. Translation is heavily emphasized.It is intended to make learning symbolic logic (relatively) easy, by starting out with very basics and progressing from there a step at a time, building on what came before. I tried to make it as close to a self-teaching text as I could manage. It has two major divisions: Propositional Logic and Quantifier Logic.The first starts with propositions and truth-values, then truth-tables for evaluating the status of statements and arguments. It then moves to natural deduction, with rules for making inferences and transformations. Procedures are given for proving both validity and invalidity.Exercises increase in complexity as things move along. Solutions to selected exercises are included at the back of the book.Quantifier Logic starts with Monadic predicate logic, involving only single-place predicates ("properties"). It starts with singular statements and propositional functions, then moves to statements containing a single universal or existential quantifier, then to statements and arguments involving multiple quantifiers. It covers inferences using quantificational inference and transformation rules, and gives methods of invalidity proof.Its second half goes into polyadic predicates ("relations") of various degrees, moves on to identity, and finally to definite descriptions.Appendices on various related and supplementary topics are included at the end. The original appendix on Completeness and Consistency was complicated and confusing. It has been deleted, and replaced with an addendum at the end.


Swift And The Dialectical Tradition

Swift And The Dialectical Tradition

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  • Author: James A Rembret
  • Publisher: Springer
  • ISBN: 1349190721
  • Category : Literary Criticism
  • Languages : en
  • Pages : 274