Logic, Form and Function

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Author :
Publisher : North Holland
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Logic, Form and Function by : John Alan Robinson

Download or read book Logic, Form and Function written by John Alan Robinson and published by North Holland. This book was released on 1979 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic: form and content; Formulas: syntax and intuitive semantics; Boolean analysis of sentences; Infinitive finitary trees and boolean compactness; Semantic analysis of sentences and terms; Logical consequence: sequents and proofs; Logical equivalence: substitutivity and variants; Normal forms of sentences and sequents; Herbrand models and maps; Quad notation for clausal sequents; Unification; Resolution; Resolution on the computer; Historical notes; Appedix; Index.

Truth-Functional Logic

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Author :
Publisher : Routledge
ISBN 13 : 1000735532
Total Pages : 127 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Truth-Functional Logic by : J. A. Faris

Download or read book Truth-Functional Logic written by J. A. Faris and published by Routledge. This book was released on 2019-11-04 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1962. This book gives an account of the concepts and methods of a basic part of logic. In chapter I elementary ideas, including those of truth-functional argument and truth-functional validity, are explained. Chapter II begins with a more comprehensive account of truth-functionality; the leading characteristics of the most important monadic and dyadic truth-functions are described, and the different notations in use are set forth. The main part of the book describes and explains three different methods of testing truth-functional aguments and agument forms for validity: the truthtable method, the deductive method and the method of normal forms; for the benefit mainly of readers who have not acquired in one way or another a general facility in the manipulation of symbols some of the procedures have been described in rather more detail than is common in texts of this kind. In the final chapter the author discusses and rejects the view, based largely on the so called paradoxes of material implication, that truth-functional logic is not applicable in any really important way to arguments of ordinary discourse.

Logical Form

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Author :
Publisher : Springer
ISBN 13 : 3319741543
Total Pages : 139 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Logical Form by : Andrea Iacona

Download or read book Logical Form written by Andrea Iacona and published by Springer. This book was released on 2018-01-28 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical form has always been a prime concern for philosophers belonging to the analytic tradition. For at least one century, the study of logical form has been widely adopted as a method of investigation, relying on its capacity to reveal the structure of thoughts or the constitution of facts. This book focuses on the very idea of logical form, which is directly relevant to any principled reflection on that method. Its central thesis is that there is no such thing as a correct answer to the question of what is logical form: two significantly different notions of logical form are needed to fulfill two major theoretical roles that pertain respectively to logic and to semantics. This thesis has a negative and a positive side. The negative side is that a deeply rooted presumption about logical form turns out to be overly optimistic: there is no unique notion of logical form that can play both roles. The positive side is that the distinction between two notions of logical form, once properly spelled out, sheds light on some fundamental issues concerning the relation between logic and language.

Functions and Generality of Logic

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Author :
Publisher : Springer
ISBN 13 : 3319171097
Total Pages : 125 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Functions and Generality of Logic by : Hourya Benis-Sinaceur

Download or read book Functions and Generality of Logic written by Hourya Benis-Sinaceur and published by Springer. This book was released on 2015-06-24 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines three connected aspects of Frege’s logicism: the differences between Dedekind’s and Frege’s interpretation of the term ‘logic’ and related terms and reflects on Frege’s notion of function, comparing its understanding and the role it played in Frege’s and Lagrange’s foundational programs. It concludes with an examination of the notion of arbitrary function, taking into account Frege’s, Ramsey’s and Russell’s view on the subject. Composed of three chapters, this book sheds light on important aspects of Dedekind’s and Frege’s logicisms. The first chapter explains how, although he shares Frege’s aim at substituting logical standards of rigor to intuitive imports from spatio-temporal experience into the deductive presentation of arithmetic, Dedekind had a different goal and used or invented different tools. The chapter highlights basic dissimilarities between Dedekind’s and Frege’s actual ways of doing and thinking. The second chapter reflects on Frege’s notion of a function, in comparison with the notions endorsed by Lagrange and the followers of the program of arithmetization of analysis. It remarks that the foundational programs pursued by Lagrange and Frege are crucially different and based on a different idea of what the foundations of mathematics should be like. However, despite this contrast, the notion of function plays similar roles in the two programs, and this chapter emphasizes the similarities. The third chapter traces the development of thinking about Frege’s program in the foundations of mathematics, and includes comparisons of Frege’s, Russell’s and Ramsey’s views. The chapter discusses earlier papers written by Hintikka, Sandu, Demopoulos and Trueman. Although the chapter’s main focus is on the notion of arbitrary correlation, it starts out by discussing some aspects of the connection between this notion and Dedekind Theorem.

Mathematics Form and Function

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461248728
Total Pages : 486 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematics Form and Function by : Saunders MacLane

Download or read book Mathematics Form and Function written by Saunders MacLane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.

A Concise Introduction to Logic

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Author :
Publisher : Open SUNY Textbooks
ISBN 13 : 9781942341437
Total Pages : pages
Book Rating : 4.3/5 (414 download)

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Book Synopsis A Concise Introduction to Logic by : Craig DeLancey

Download or read book A Concise Introduction to Logic written by Craig DeLancey and published by Open SUNY Textbooks. This book was released on 2017-02-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Language, Form(s) of Life, and Logic

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Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110518287
Total Pages : 342 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Language, Form(s) of Life, and Logic by : Christian Martin

Download or read book Language, Form(s) of Life, and Logic written by Christian Martin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-09-10 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the connection between thinking-and-speaking and our form(s) of life. All contributions engage with Wittgenstein’s approach to this topic. As a whole, the volume takes a stance against both biological and ethnological interpretations of the notion "form of life" and seeks to promote a broadly logico-linguistic understanding instead. The structure of this book is threefold. Part one focuses on lines of thinking that lead from Wittgenstein’s earlier thought to the concept of form of life in his later work. Contributions to part two examine the concrete philosophical function of this notion as well as the ways in which it differs from cognate concepts. Contributions to part three put Wittgenstein’s notion of form of life in perspective by relating it to phenomenology, ordinary language philosophy and problems in contemporary analytic philosophy.

A Computational Logic

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Publisher : Academic Press
ISBN 13 : 1483277887
Total Pages : 414 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis A Computational Logic by : Robert S. Boyer

Download or read book A Computational Logic written by Robert S. Boyer and published by Academic Press. This book was released on 2014-06-25 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.

Logic Functions and Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1402029381
Total Pages : 410 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Logic Functions and Equations by : Christian Posthoff

Download or read book Logic Functions and Equations written by Christian Posthoff and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic functions and equations are (some of) the most important concepts of Computer Science with many applications such as Binary Arithmetics, Coding, Complexity, Logic Design, Programming, Computer Architecture and Artificial Intelligence. They are very often studied in a minimum way prior to or together with their respective applications. Based on our long-time teaching experience, a comprehensive presentation of these concepts is given, especially emphasising a thorough understanding as well as numerical and computer-based solution methods. Any applications and examples from all the respective areas are given that can be dealt with in a unified way. They offer a broad understanding of the recent developments in Computer Science and are directly applicable in professional life. Logic Functions and Equations is highly recommended for a one- or two-semester course in many Computer Science or computer Science-oriented programmes. It allows students an easy high-level access to these methods and enables sophisticated applications in many different areas. It elegantly bridges the gap between Mathematics and the required theoretical foundations of Computer Science.

Logic and Structure

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Publisher : Springer Science & Business Media
ISBN 13 : 3662023822
Total Pages : 218 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Logic and Structure by : Dirk van Dalen

Download or read book Logic and Structure written by Dirk van Dalen and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: New corrected printing of a well-established text on logic at the introductory level.

Logical Form and Language

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Author :
Publisher : Oxford University Press
ISBN 13 : 9780199245550
Total Pages : 534 pages
Book Rating : 4.2/5 (455 download)

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Book Synopsis Logical Form and Language by : Gerhard Preyer

Download or read book Logical Form and Language written by Gerhard Preyer and published by Oxford University Press. This book was released on 2002 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seventeen specially written essays by eminent philosophers and linguists appear for the first time in this anthology, all with the central theme of logical form - a fundamental issue in analytical philosophy and linguistic theory.

Logic, Form and Grammar

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1134547722
Total Pages : 121 pages
Book Rating : 4.1/5 (345 download)

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Book Synopsis Logic, Form and Grammar by : Peter Long

Download or read book Logic, Form and Grammar written by Peter Long and published by Taylor & Francis. This book was released on 2013-01-11 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work contains Peter Long's important essay, Logic, Form and Grammar, which resolves many difficulties for the logical form of an argument where the reasoning is hypothetical. Also included are two essays on classical problems in philosophical logic, relating to logical form and formal relations. All of the essays provide clear thinking and philosophical explanations, overturning many unchallenged suggestions in philosophical logic.

Logic from A to Z

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Author :
Publisher : Routledge
ISBN 13 : 1134971044
Total Pages : 126 pages
Book Rating : 4.1/5 (349 download)

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Book Synopsis Logic from A to Z by : John B. Bacon

Download or read book Logic from A to Z written by John B. Bacon and published by Routledge. This book was released on 2013-09-05 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in the most ambitious international philosophy project for a generation; the Routledge Encyclopedia of Philosophy. Logic from A to Z is a unique glossary of terms used in formal logic and the philosophy of mathematics. Over 500 entries include key terms found in the study of: * Logic: Argument, Turing Machine, Variable * Set and model theory: Isomorphism, Function * Computability theory: Algorithm, Turing Machine * Plus a table of logical symbols. Extensively cross-referenced to help comprehension and add detail, Logic from A to Z provides an indispensable reference source for students of all branches of logic.

An Introduction to Logic

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Author :
Publisher : Independently Published
ISBN 13 : 9781793926661
Total Pages : 388 pages
Book Rating : 4.9/5 (266 download)

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Book Synopsis An Introduction to Logic by : Eulalio Baltazar

Download or read book An Introduction to Logic written by Eulalio Baltazar and published by Independently Published. This book was released on 2019-01-12 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the basic inferential patterns of formal logic as they are embedded in everyday life, information technology, and science. It is designed to make clear the basic topics of classical and modern logic. The aim is to improve the reader's ability to navigate both everyday and science-based interactions.

An Introduction to Symbolic Logic

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Publisher : Courier Corporation
ISBN 13 : 9780486601649
Total Pages : 390 pages
Book Rating : 4.6/5 (16 download)

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Book Synopsis An Introduction to Symbolic Logic by : Langer

Download or read book An Introduction to Symbolic Logic written by Langer and published by Courier Corporation. This book was released on 1967-01-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famous classic has introduced countless readers to symbolic logic with its thorough and precise exposition. Starts with simple symbols and conventions and concludes with the Boole-Schroeder and Russell-Whitehead systems. No special knowledge of mathematics necessary. "One of the clearest and simplest introductions to a subject which is very much alive." — Mathematics Gazette.

The Structure of Aristotelian Logic

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Author :
Publisher : Routledge
ISBN 13 : 1317375424
Total Pages : 97 pages
Book Rating : 4.3/5 (173 download)

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Book Synopsis The Structure of Aristotelian Logic by : James Wilkinson Miller

Download or read book The Structure of Aristotelian Logic written by James Wilkinson Miller and published by Routledge. This book was released on 2015-08-14 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A, E, I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional logic as it existed in the twentieth century. The primary consideration of the book is the inclusion of negative terms - obversion, contraposition etc. – within traditional logic by addressing three questions, of systematization, the rules, and the interpretation.

Good Thinking

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Publisher : Cambridge University Press
ISBN 13 : 0521192048
Total Pages : 213 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Good Thinking by : Denise D. Cummins

Download or read book Good Thinking written by Denise D. Cummins and published by Cambridge University Press. This book was released on 2012-04-16 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do you know what economists mean when they refer to you as a "rational agent"? Or why a psychologist might label your idea a "creative insight"? After reading this book, you will know how the best and brightest thinkers judge the ways we decide, argue, solve problems, and tell right from wrong.