Relevant Logics And Their Rivals

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Relevant Logics and Their Rivals

Author : Richard Sylvan
Publisher : Unknown
Page : 490 pages
File Size : 44,6 Mb
Release : 1982
Category : Entailment (Logic)
ISBN : UIUC:30112045371280

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Relevant Logics and Their Rivals by Richard Sylvan Pdf

Relevant Logics and Their Rivals: The basic philosophical and semantical theory

Author : Richard Sylvan,Val Plumwood,Robert K. Meyer,Ross T. Brady
Publisher : Unknown
Page : 460 pages
File Size : 53,9 Mb
Release : 1982
Category : Entailment (Logic)
ISBN : 0917930665

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Relevant Logics and Their Rivals: The basic philosophical and semantical theory by Richard Sylvan,Val Plumwood,Robert K. Meyer,Ross T. Brady Pdf

Relevant Logics and Their Rivals

Author : Ross Brady
Publisher : Routledge
Page : 128 pages
File Size : 47,8 Mb
Release : 2017-12-15
Category : Electronic
ISBN : 1138724297

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Relevant Logics and Their Rivals by Ross Brady Pdf

This title was first published in 2003. Relevant Logics and their Rivals, Volume II extends the material of the first volume in two ways. First, it includes work done in the 1970s which expands on and applies the Routley-Meyer semantics (introduced in the first volume), together with an Appendix which offers a critique of the whole process of extensional reduction. Secondly, the volume includes material from the 1980s and 1990s which brings the Routley-Meyer semantics up to date and introduces a wide range of cognate topics in relevant logic. The two volumes together provide a treatise on Australian research into relevant and related logics since the early 1970s, enhanced by the work of a number of co-workers from abroad.

Relevant Logics and Their Rivals

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,6 Mb
Release : 1982
Category : Logic
ISBN : LCCN:85197137

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Relevant Logics and Their Rivals by Anonim Pdf

Relevant Logics and Their Rivals

Author : Ross Brady
Publisher : Ashgate Publishing, Ltd.
Page : 456 pages
File Size : 40,7 Mb
Release : 1982
Category : Language Arts & Disciplines
ISBN : UOM:39015060570515

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Relevant Logics and Their Rivals by Ross Brady Pdf

Relevant Logics and their Rivals, Volume II extends the material of the first volume in two ways. First, it includes work done in the 1970s which expands on and applies the Routley-Meyer semantics (introduced in the first volume), together with an Appendix which offers a critique of the whole process of extensional reduction. Secondly, the volume includes material from the 1980s and 1990s which brings the Routley-Meyer semantics up to date and introduces a wide range of cognate topics in relevant logic. The two volumes together provide a treatise on Australian research into relevant and related logics since the early 1970s, enhanced by the work of a number of co-workers from abroad.

Relevant Logics and Their Rivals

Author : Ross Brady
Publisher : Unknown
Page : 128 pages
File Size : 55,9 Mb
Release : 2017
Category : Electronic books
ISBN : 1315192551

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Relevant Logics and Their Rivals by Ross Brady Pdf

"This title was first published in 2003. Relevant Logics and their Rivals, Volume II extends the material of the first volume in two ways. First, it includes work done in the 1970s which expands on and applies the Routley-Meyer semantics (introduced in the first volume), together with an Appendix which offers a critique of the whole process of extensional reduction. Secondly, the volume includes material from the 1980s and 1990s which brings the Routley-Meyer semantics up to date and introduces a wide range of cognate topics in relevant logic. The two volumes together provide a treatise on Australian research into relevant and related logics since the early 1970s, enhanced by the work of a number of co-workers from abroad."--Provided by publisher.

Sociative Logics and Their Applications

Author : Dominic Hyde,Graham Priest
Publisher : Routledge
Page : 440 pages
File Size : 47,6 Mb
Release : 2017-11-01
Category : Political Science
ISBN : 9781351723732

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Sociative Logics and Their Applications by Dominic Hyde,Graham Priest Pdf

This title was first published in 2003. Richard Sylvan died in 1996, he had made contributions to many areas of philosophy, such as, relevant and paraconsistent logic, Meinongianism and metaphysics and environmental ethics. One of his "trademarks" was the taking up of unpopular views and defending them. To Richard Sylvan ideas were important, wether they were his or not. This is a book of ideas, based on a collection of work found after his death, a chance for readers to see his vision of his projects. This collected works represents material drafted between 1982 and 1996, and the theme is that a small band of logics, namely pararelevant logics, offer solutions to many problems, puzzles and paradoxes in the philosophy of science.

Directions in Relevant Logic

Author : J. Norman,R. Sylvan
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789400910058

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Directions in Relevant Logic by J. Norman,R. Sylvan Pdf

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

Author : Edwin D. Mares
Publisher : Cambridge University Press
Page : 241 pages
File Size : 45,6 Mb
Release : 2004-02-26
Category : Philosophy
ISBN : 9780521829236

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Relevant Logic by Edwin D. Mares Pdf

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.

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

Author : Ivo Düntsch,Edwin Mares
Publisher : Springer Nature
Page : 591 pages
File Size : 47,9 Mb
Release : 2021-09-24
Category : Philosophy
ISBN : 9783030714307

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Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs by Ivo Düntsch,Edwin Mares Pdf

This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.

Relevance Logic

Author : Shay Allen Logan
Publisher : Unknown
Page : 86 pages
File Size : 52,7 Mb
Release : 2024-05-10
Category : Philosophy
ISBN : 9781009227797

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Relevance Logic by Shay Allen Logan Pdf

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.

Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations

Author : Gemma Robles,José M. Méndez
Publisher : Academic Press
Page : 158 pages
File Size : 44,6 Mb
Release : 2018-01-02
Category : Mathematics
ISBN : 9780128045091

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Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations by Gemma Robles,José M. Méndez Pdf

Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations examines how to introduce intuitionistic-type negations into RM-semantics. RM-semantics is highly malleable and capable of modeling families of logics which are very different from each other. This semantics was introduced in the early 1970s, and was devised for interpreting relevance logics. In RM-semantics, negation is interpreted by means of the Routley operator, which has been almost exclusively used for modeling De Morgan negations. This book provides research on particular features of intuitionistic-type of negations in RM-semantics, while also defining the basic systems and many of their extensions by using models with or without a set of designated points. Provides a clear development of the fundamentals of RM-semantics in a new application Covers the most general research on ternary relational semantics Includes scrutiny of constructive negation from the ternary relational perspective

Labelled Non-Classical Logics

Author : Luca Viganò
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 52,6 Mb
Release : 2013-04-17
Category : Philosophy
ISBN : 9781475732085

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Labelled Non-Classical Logics by Luca Viganò Pdf

I am very happy to have this opportunity to introduce Luca Vigano's book on Labelled Non-Classical Logics. I put forward the methodology of labelled deductive systems to the participants of Logic Colloquium'90 (Labelled Deductive systems, a Position Paper, In J. Oikkonen and J. Vaananen, editors, Logic Colloquium '90, Volume 2 of Lecture Notes in Logic, pages 66-68, Springer, Berlin, 1993), in an attempt to bring labelling as a recognised and significant component of our logic culture. It was a response to earlier isolated uses of labels by various distinguished authors, as a means to achieve local proof theoretic goals. Labelling was used in many different areas such as resource labelling in relevance logics, prefix tableaux in modal logics, annotated logic programs in logic programming, proof tracing in truth maintenance systems, and various side annotations in higher-order proof theory, arithmetic and analysis. This widespread local use of labels was an indication of an underlying logical pattern, namely the simultaneous side-by-side manipulation of several kinds of logical information. It was clear that there was a need to establish the labelled deductive systems methodology. Modal logic is one major area where labelling can be developed quickly and sys tematically with a view of demonstrating its power and significant advantage. In modal logic the labels can play a double role.

What is Negation?

Author : Dov M. Gabbay,Heinrich Wansing
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 47,8 Mb
Release : 2013-06-29
Category : Philosophy
ISBN : 9789401593090

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What is Negation? by Dov M. Gabbay,Heinrich Wansing Pdf

The notion of negation is one of the central logical notions. It has been studied since antiquity and has been subjected to thorough investigations in the development of philosophical logic, linguistics, artificial intelligence and logic programming. The properties of negation-in combination with those of other logical operations and structural features of the deducibility relation-serve as gateways among logical systems. Therefore negation plays an important role in selecting logical systems for particular applications. At the moment negation is a 'hot topic', and there is an urgent need for a comprehensive account of this logical key concept. We therefore have asked leading scholars in various branches of logic to contribute to a volume on "What is Negation?". The result is the present neatly focused collection of re search papers bringing together different approaches toward a general characteri zation of kinds of negation and classifications thereof. The volume is structured into four interrelated thematic parts. Part I is centered around the themes of Models, Relevance and Impossibility. In Chapter 1 (Negation: Two Points of View), Arnon Avron develops two characteri zations of negation, one semantic the other proof-theoretic. Interestingly and maybe provokingly, under neither of these accounts intuitionistic negation emerges as a genuine negation. J. Michael Dunn in Chapter 2 (A Comparative Study of Various Model-theoretic Treatments of Negation: A History of Formal Negation) surveys a detailed correspondence-theoretic classifcation of various notions of negation in terms of properties of a binary relation interpreted as incompatibility.

Logic and Its Applications

Author : Mohua Banerjee,Krishna S.
Publisher : Springer
Page : 242 pages
File Size : 47,8 Mb
Release : 2014-11-22
Category : Mathematics
ISBN : 9783662458242

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Logic and Its Applications by Mohua Banerjee,Krishna S. Pdf

This book collects the refereed proceedings of the 6th Indian Conference on Logic and Its Applications, ICLA 2015, held in Mumbai, India, in January 2015. The volume contains 13 full revised papers along with 3 invited talks presented at the conference. The papers were selected after rigorous review, from 23 submissions. They cover topics related to pure and applied formal logic, foundations and philosophy of mathematics and the sciences, set theory, model theory, proof theory, areas of theoretical computer science, artificial intelligence, systems of logic in the Indian tradition, and other disciplines which are of direct interest to mathematical and philosophical logic.