Critical Views Of Logic

Author : Donald W. Loveland
Publisher : Princeton University Press
ISBN 13 : 140084875X
Total Pages : 344 pages
Book Rating : 4.51/5 ( download)

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Download or read book Three Views of Logic written by Donald W. Loveland and published by Princeton University Press. This book was released on 2014-01-26 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses

Author : Mirja Hartimo
Publisher : Taylor & Francis
ISBN 13 : 1000992314
Total Pages : 231 pages
Book Rating : 4.11/5 ( download)

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Download or read book Critical Views of Logic written by Mirja Hartimo and published by Taylor & Francis. This book was released on 2023-10-31 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines positions that challenge the Fregean logic-first view. It raises critical questions about logic by examining various ways in which logic may be entangled with mathematics and metaphysics. Is logic topic-neutral and general? Can we take the application of logic for granted? This book suggests that we should not be dogmatic about logic but ask similar critical questions about logic as those Kant raised about metaphysics and mathematics. It challenges the Fregean logic-first view according to which logic is fundamental and hence independent of any extra-logical considerations. Whereas Quine assimilated logic and mathematics to the theoretical parts of empirical science, the present volume explores views that stop short of his thoroughgoing holism but instead take logic to be answerable to or entangled with some particular disciplines. The contributions provide views that assign primacy to mathematical reasons, Kantian metaphysical grounds, Husserlian transcendental phenomenological reflection, or normative considerations about how terms ought to be defined in various fields of empirical science or mathematics. Space is thereby carved out between a Fregean position on the one hand and Quinean holism on the other. Critical Views of Logic will be a key resource for academics, researchers, and advanced students of philosophy, linguistics, mathematics, and computer science, as well as those engaged in various fields of empirical science. The chapters in this book, except for chapter 4, were originally published in the journal Inquiry.

Author : William Righter
Publisher : Hassell Street Press
ISBN 13 : 9781014989673
Total Pages : 168 pages
Book Rating : 4.71/5 ( download)

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Download or read book Logic and Criticism written by William Righter and published by Hassell Street Press. This book was released on 2021-09-10 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Mirja Hartimo
Publisher : Taylor & Francis
ISBN 13 : 1000992322
Total Pages : 235 pages
Book Rating : 4.28/5 ( download)

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Download or read book Critical Views of Logic written by Mirja Hartimo and published by Taylor & Francis. This book was released on 2023-10-31 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines positions that challenge the Fregean logic-first view. It raises critical questions about logic by examining various ways in which logic may be entangled with mathematics and metaphysics. Is logic topic-neutral and general? Can we take the application of logic for granted? This book suggests that we should not be dogmatic about logic but ask similar critical questions about logic as those Kant raised about metaphysics and mathematics. It challenges the Fregean logic-first view according to which logic is fundamental and hence independent of any extra-logical considerations. Whereas Quine assimilated logic and mathematics to the theoretical parts of empirical science, the present volume explores views that stop short of his thoroughgoing holism but instead take logic to be answerable to or entangled with some particular disciplines. The contributions provide views that assign primacy to mathematical reasons, Kantian metaphysical grounds, Husserlian transcendental phenomenological reflection, or normative considerations about how terms ought to be defined in various fields of empirical science or mathematics. Space is thereby carved out between a Fregean position on the one hand and Quinean holism on the other. Critical Views of Logic will be a key resource for academics, researchers, and advanced students of philosophy, linguistics, mathematics, and computer science, as well as those engaged in various fields of empirical science. The chapters in this book, except for chapter 4, were originally published in the journal Inquiry.

Author : T.A. Fay
Publisher : Springer Science & Business Media
ISBN 13 : 9401010579
Total Pages : 178 pages
Book Rating : 4.73/5 ( download)

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Download or read book Heidegger: The Critique of Logic written by T.A. Fay and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since his inaugural lecture at Freiburg in 1929 in which Heidegger delivered his most celebrated salvo against logic, he has frequently been portrayed as an anti-logician, a classic example of the obscurity resultant upon a rejection of the discipline of logic, a champion of the irrational, and a variety of similar things. Because many of Heidegger's statements on logic are polemical in tone, there has been no little misunderstanding of his position in regard to logic, and a great deal of distortion of it. All too frequently the position which is attacked as Heidegger's is a barely recognizable caricature of it. Heidegger has, from the very beginning of his career, written and said much on logic. Strangely enough, in view of all that he has said, his critique of logic has not been singled out as the subject of any of the longer, more detailed studies on the various aspects of his thought.

Author : T. Ryan Byerly
Publisher : Baker Academic
ISBN 13 : 1493410806
Total Pages : 256 pages
Book Rating : 4.04/5 ( download)

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Download or read book Introducing Logic and Critical Thinking written by T. Ryan Byerly and published by Baker Academic. This book was released on 2017-08-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This robust, clear, and well-researched textbook for classes in logic introduces students to both formal logic and to the virtues of intellectual inquiry. Part 1 challenges students to develop the analytical skills of deductive and inductive reasoning, showing them how to identify and evaluate arguments. Part 2 helps students develop the intellectual virtues of the wise inquirer. The book includes helpful pedagogical features such as practice exercises and a concluding summary with definitions of key concepts for each chapter. Resources for professors and students are available through Baker Academic's Textbook eSources.

Author : Philip Turetzky
Publisher : Broadview Press
ISBN 13 : 146040646X
Total Pages : 338 pages
Book Rating : 4.65/5 ( download)

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Download or read book The Elements of Arguments: An Introduction to Critical Thinking and Logic written by Philip Turetzky and published by Broadview Press. This book was released on 2019-04-11 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Elements of Arguments introduces such central critical thinking topics as informal fallacies, the difference between validity and truth, basic formal propositional logic, and how to extract arguments from texts. Turetzky aims to prevent common confusions by clearly explaining a number of important distinctions, including propositions vs. propositional attitudes, propositions vs. states of affairs, and logic vs. rhetoric vs. psychology. Exercises are provided throughout, including numerous informal arguments that can be assessed using the skills and strategies presented within the text.

Author : Scott L. Pratt
Publisher : John Wiley & Sons
ISBN 13 : 1119050995
Total Pages : 272 pages
Book Rating : 4.95/5 ( download)

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Download or read book Logic written by Scott L. Pratt and published by John Wiley & Sons. This book was released on 2015-01-27 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: An enlightening introduction to the study of logic: its history, philosophical foundations, and formal structures Logic: Inquiry, Argument, and Order is the first book of its kind to frame the study of introductory logic in terms of problems connected to wider issues of knowledge and judgment that arise in the context of racial, cultural, and religious diversity. With its accessible style and integration of philosophical inquiry and real-life concerns, this book offers a novel approach to the theory of logic and its relevance to questions of meaning and value that arise in the world around us. The book poses four problems for logic: Is logic separate from experience? Does logic require dualisms? Can logic reconcile opposed ways of understanding the world? And when things are divided, does the boundary have a logic? The author begins the exploration of these questions with a discussion of the process of analyzing and constructing arguments. Using the logical theories of C. S. Peirce, John Dewey, and Josiah Royce to frame the investigation, subsequent chapters outline the process of inquiry, the concept of communicative action, the nature of validity, categorical reasoning through the theory of the syllogism, and inductive reasoning and probability. The book concludes with a presentation of modal logic, propositional logic, and quantification. Logic is presented as emerging from the activities of inquiry and communication, allowing readers to understand even the most difficult aspects of formal logic as straightforward developments of the process of anticipating and taking action. Numerous practice problems use arguments related to issues of diversity and social theory, and the book introduces methods of proving validity that include Venn diagrams, natural deduction, and the method of tableaux. Logic: Inquiry, Argument, and Order is an ideal book for courses on philosophical methods and critical reasoning at the upper-undergraduate and graduate levels. It is also an insightful reference for anyone who would like to explore a cross-cultural approach to the topic of logic.

Author : Richard E. Hodel
Publisher : Courier Corporation
ISBN 13 : 0486497852
Total Pages : 514 pages
Book Rating : 4.53/5 ( download)

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Download or read book An Introduction to Mathematical Logic written by Richard E. Hodel and published by Courier Corporation. This book was released on 2013-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.

Author : Antis Loizides
Publisher : Routledge
ISBN 13 : 113502054X
Total Pages : 282 pages
Book Rating : 4.45/5 ( download)

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Download or read book Mill's A System of Logic written by Antis Loizides and published by Routledge. This book was released on 2014-05-23 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Stuart Mill considered his A System of Logic, first published in 1843, the methodological foundation and intellectual groundwork of his later works in ethical, social, and political theory. Yet no book has attempted in the past to engage with the most important aspects of Mill's Logic. This volume brings together leading scholars to elucidate the key themes of this influential work, looking at such topics as his philosophy of language and mathematics, his view on logic, induction and deduction, free will, argumentation, ethology and psychology, as well as his account of normativity, kinds of pleasure, philosophical and political method and the "Art of Life."