The Concept of Relevance and the Logic Diagram Tradition

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9781475071092: The Concept of Relevance and the Logic Diagram Tradition
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PRAISE FOR THE BOOK: "Dejno?ka 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. Dejno?ka’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: "Dejno?ka'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. This book is based on my paper of the same name in Logica Universalis, vol. 4/1, pp. 67–135, 2010. Material from the paper appears by kind permission of Springer, and has been improved and expanded.

Über den Autor:

Jan Dejno?ka (pronounced Yon DAY-no-shka) was born on December 20, 1951 in Saratoga Springs, New York to Ladislav and Helen Garrett Dejno?ka. He earned a Ph.D. in philosophy in 1979 from the University of Iowa and a J.D. in law in 1996 from the University of Michigan. He taught philosophy at the University of Iowa and the U.S. Naval Academy, and is a Research Fellow in Philosophy at Union College. His books include The Ontology of the Analytic Tradition and Its Origins (Littlefield Adams) and Bertrand Russell on Modality and Logical Relevance (Ashgate). He has published over twenty papers in philosophy and law. He is a life member of the American Philosophical Association, a member of the Master Lawyer's Section, State Bar of Michigan, a member of the State Bar of Maryland, and a former member of the American Bar Association. In 1992 he married Chung Hwa Choi, born in Seoul, South Korea. The Dejno?kas have two daughters, Julie and Marina.

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