Relevant Logic
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Relevant Logic
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Author : Edwin D. Mares
language : en
Publisher: Cambridge University Press
Release Date : 2004-02-26
Relevant Logic written by Edwin D. Mares and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-26 with Philosophy categories.
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.
Relevance Logic
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Author : Shay Allen Logan
language : en
Publisher:
Release Date : 2024-05-10
Relevance Logic written by Shay Allen Logan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-10 with Philosophy categories.
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.
Directions In Relevant Logic
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Author : J. Norman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Directions In Relevant Logic written by J. Norman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
Relevance logics came of age with the one and only International Conference on relevant logics in 1974. They did not however become accepted, or easy to promulgate. In March 1981 we received most of the typescript of IN MEMORIAM: ALAN ROSS ANDERSON Proceedings of the International Conference of Relevant Logic from the original editors, Kenneth W. Collier, Ann Gasper and Robert G. Wolf of Southern Illinois University. 1 They had, most unfortunately, failed to find a publisher - not, it appears, because of overall lack of merit of the essays, but because of the expense of producing the collection, lack of institutional subsidization, and doubts of publishers as to whether an expensive collection of essays on such an esoteric, not to say deviant, subject would sell. We thought that the collection of essays was still (even after more than six years in the publishing trade limbo) well worth publishing, that the subject would remain undeservedly esoteric in North America while work on it could not find publishers (it is not so esoteric in academic circles in Continental Europe, Latin America and the Antipodes) and, quite important, that we could get the collection published, and furthermore, by resorting to local means, published comparatively cheaply. It is indeed no ordinary collection. It contains work by pioneers of the main types of broadly relevant systems, and by several of the most innovative non-classical logicians of the present flourishing logical period. We have slowly re-edited and reorganised the collection and made it camera-ready.
Relevant Logic
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Author : Stephen Read
language : en
Publisher: Wiley-Blackwell
Release Date : 1988-01-01
Relevant Logic written by Stephen Read and has been published by Wiley-Blackwell this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Philosophy categories.
Relevant Logics And Their Rivals
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Author : Richard Sylvan
language : en
Publisher:
Release Date : 1982
Relevant Logics And Their Rivals written by Richard Sylvan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Entailment (Logic) categories.
Entailment
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Author : Alan Ross Anderson
language : en
Publisher:
Release Date : 1992-01-01
Entailment written by Alan Ross Anderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Philosophy categories.
In spite of a powerful tradition, more than two thousand years old, that in a valid argument the premises must be relevant to the conclusion, twentieth-century logicians neglected the concept of relevance until the publication of Volume I of this monumental work. Since that time relevance logic has achieved an important place in the field of philosophy: Volume II of Entailment brings to a conclusion a powerful and authoritative presentation of the subject by most of the top people working in the area. Originally the aim of Volume II was simply to cover certain topics not treated in the first volume--quantification, for example--or to extend the coverage of certain topics, such as semantics. However, because of the technical progress that has occurred since the publication of the first volume, Volume II now includes other material. The book contains the work of Alasdair Urquhart, who has shown that the principal sentential systems of relevance logic are undecidable, and of Kit Fine, who has demonstrated that, although the first-order systems are incomplete with respect to the conjectured constant domain semantics, they are still complete with respect to a semantics based on "arbitrary objects." Also presented is important work by the other contributing authors, who are Daniel Cohen, Steven Giambrone, Dorothy L. Grover, Anil Gupta, Glen Helman, Errol P. Martin, Michael A. McRobbie, and Stuart Shapiro. Robert G. Wolf's bibliography of 3000 items is a valuable addition to the volume.
The Concept Of Relevance And The Logic Diagram Tradition
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Author : Jan Dejnožka
language : en
Publisher:
Release Date : 2012
The Concept Of Relevance And The Logic Diagram Tradition written by Jan Dejnožka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Logic, Modern categories.
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.
Relevant Logics And Their Rivals The Basic Philosophical And Semantical Theory
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Author : Richard Sylvan
language : en
Publisher:
Release Date : 1982
Relevant Logics And Their Rivals The Basic Philosophical And Semantical Theory written by Richard Sylvan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Entailment (Logic) categories.
On Inferring
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Author : Dirk Hartmann
language : en
Publisher:
Release Date : 2003
On Inferring written by Dirk Hartmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Inference categories.
Bertrand Russell On Modality And Logical Relevance
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Author : Jan Dejnožka
language : en
Publisher: Routledge
Release Date : 2018-08-13
Bertrand Russell On Modality And Logical Relevance written by Jan Dejnožka and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-13 with Philosophy categories.
First published in 1999, this volume re-examines Bertrand Russell’s views on modal logic and logical relevance, arguing that Russell does in fact accommodate modality and modal logic. The author, Jan Dejnožka, draws together Russell’s comments and perspectives from throughout his canon in order to demonstrate a coherent view on logical modality and logical relevance. To achieve this, Dejnožka explores questions including whether Russell has a possible worlds logic, Rescher’s case against Russell, Russell’s three levels of modality and the motives and origins of Russell’s theory of modality.