Relevance Logic

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Release : 2024-05-10
Genre : Philosophy
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Book Rating : 793/5 ( reviews)

Relevance Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Relevance Logic write by Shay Allen Logan. This book was released on 2024-05-10. Relevance Logic available in PDF, EPUB and Kindle. Relevance logics are a misunderstood lot. Despite being the subject of intense study for nearly a century, they remain maligned as too complicated, too abstruse, or too silly to be worth learning much about. This Element aims to dispel these misunderstandings. By focusing on the weak relevant logic B, the discussion provides an entry point into a rich and diverse family of logics. Also, it contains the first-ever textbook treatment of quantification in relevance logics, as well as an overview of the cutting edge on variable sharing results and a guide to further topics in the field.

Relevant Logic

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Release : 2004-02-26
Genre : Philosophy
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Book Rating : 232/5 ( reviews)

Relevant Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Relevant Logic write by Edwin D. Mares. This book was released on 2004-02-26. Relevant Logic available in PDF, EPUB and Kindle. This book introduces the reader to relevant logic and provides it with a philosophical interpretation. The defining feature of relevant logic is that it forces the premises of an argument to be really used ('relevant') in deriving its conclusion. The logic is placed in the context of possible world semantics and situation semantics, which are then applied to provide an understanding of the various logical particles (especially implication and negation) and natural language conditionals. The book ends by examining various applications of relevant logic and presenting some interesting open problems.

Relevant Logic

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Release : 1988-01-01
Genre : Philosophy
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Book Rating : 844/5 ( reviews)

Relevant Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Relevant Logic write by Stephen Read. This book was released on 1988-01-01. Relevant Logic available in PDF, EPUB and Kindle.

The Concept of Relevance and the Logic Diagram Tradition

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Release : 2012
Genre : Logic, Modern
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Book Rating : 092/5 ( reviews)

The Concept of Relevance and the Logic Diagram Tradition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Concept of Relevance and the Logic Diagram Tradition write by Jan Dejnožka. This book was released on 2012. The Concept of Relevance and the Logic Diagram Tradition available in PDF, EPUB and Kindle. PRAISE FOR THE BOOK:"Dejnozka's erudition continues to astound me." - Nicholas Griffin.As Canada Research Chair and Director of the Bertrand Russell Research Centre at McMaster University, Professor Griffin directs the editing of the ongoing editions of The Collected Papers of Bertrand Russell, currently at 16 volumes. He also edited The Cambridge Companion to Bertrand Russell, and has written several books and articles."Dejnozka challenges the reader to open his mind for a new interpretation of Russell's work, in particular that relevance notions have a greater place in his philosophy of logic than has been stressed before. Dejnozka's work is full of material which stimulates one to rethink Russell's philosophy of logic, and it is greatly to the author's credit that he brings to light such a wealth of crucial issues in the history and philosophy of logic." - Shahid Rahman.Professor Rahman teaches at the Université de Lille (France). He has served as dean and supervised many dissertations. He is the author of several books and the editor of several anthologies in logic and the philosophy of logic. He recently edited a book on Hugh MacColl. He has also written many articles and reviews, and read papers at various congresses.PUBLISHED REVIEW:"Dejnozka's defense of his view is well articulated and strongly supported by citing thinkers of the caliber of Quine, Russell and Wittgenstein, among others. Moreover, the defense is presented in a clear and explicit way, making evident the role played by relevance logic and diagrams.... Finally, a very positive aspect is the presence of many explanatory notes, placed at the end of the book, that shed light on the discussion in the text." Edgar L. B. Almeida, Logic and Logical Philosophy (2013).PUBLISHED REVIEW:"The main argument of the book is interesting for suggesting that truth ground containment, i.e. the classical notion of consequence, embodies a meaningful notion of a connection between the assumptions and the conclusion of a valid argument.... I do think that the book's main claims hold.... Yes, classical validity can be seen as involving a...notion of containment - containment of truth grounds. Yes, this notion can be found in the writings of outstanding modern classical logicians such as Wittgenstein or Russell. Yes, the relevantist's notion of relevance...can be seen as a species of a broader genus. Perhaps the greatest merit of the present book is that it emphasizes these points explicitly." Igor Sedlár, Organon F (2014).BOOK DESCRIPTION:In the first volume of their monumental work, Entailment, Alan Ross Anderson and Nuel D. Belnap say that the "modern classical tradition[,] stemming from Frege and Whitehead-Russell, gave no consideration whatsoever to the classical notion of relevance." But just what is this classical notion? I argue that the relevance tradition is implicitly most deeply concerned with the containment of truth-grounds. Thus modern classical logicians such as Peirce, Frege, Russell, Wittgenstein, and Quine are implicit relevantists on the deepest level. In showing this, I reunite two fields of logic which have become basically separated from each other: relevance logic and diagram logic. I argue that there are two main concepts of relevance, intensional and extensional. The first is that of the relevantists. The second is the concept of truth-ground containment as following from in Wittgenstein's Tractatus. I show that this second concept belongs to the diagram tradition of showing that the premisses contain the conclusion by the fact that the conclusion is diagrammed in the very act of diagramming the premisses. I argue that the extensional concept is primary, with at least five usable modern classical filters or constraints, and indefinitely many secondary intensional filters or constraints. In this way, I argue for a major reunion of purpose in logic between relevantists and modern classical logicians.

Philosophy of Logic

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Release : 2006-11-29
Genre : Mathematics
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Book Rating : 63X/5 ( reviews)

Philosophy of Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Philosophy of Logic write by . This book was released on 2006-11-29. Philosophy of Logic available in PDF, EPUB and Kindle. The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert's program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights.- Written by leading logicians and philosophers- Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic- Clear, in-depth expositions of technical detail- Progressive organization from general considerations to informal to symbolic logic to nonclassical logics- Presents current work in symbolic logic within a unified framework- Accessible to students, engaging for experts and professionals- Insightful philosophical discussions of all aspects of logic- Useful bibliographies in every chapter