10 results on '"J. Michael Dunn"'
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2. J. Michael Dunn on Information Based Logics
- Author
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Katalin Bimbó
- Subjects
Cognitive science ,Philosophy ,Epistemology - Abstract
This book celebrates and expands on J. Michael Dunn’s work on informational interpretations of logic. Dunn, in his Ph.D. thesis (1966), introduced a semantics for first-degree entailments utilizing the idea that a sentence can provide positive or negative information about a topic, possibly supplying both or neither. He later published a related interpretation of the logic R-mingle, which turned out to be one of the first relational semantics for a relevance logic. An incompatibility relation between information states lends itself to a definition of negation and it has figured into Dunn's comprehensive investigations into representations of various negations. The informational view of semantics is also a prominent theme in Dunn’s research on other logics, such as quantum logic and linear logic, and led to the encompassing theory of generalized Galois logics (or "gaggles"). Dunn’s latest work addresses informational interpretations of the ternary accessibility relation and the very nature of information. The book opens with Dunn’s autobiography, followed by a list of his publications. It then presents a series of papers written by respected logicians working on different aspects of information-based logics. The topics covered include the logic R-mingle, which was introduced by Dunn, and its applications in mathematical reasoning as well as its importance in obtaining results for other relevance logics. There are also interpretations of the accessibility relation in the semantics of relevance and other non-classical logics using different notions of information. It also presents a collection of papers that develop semantics for various logics, including certain modal and many-valued logics. The publication of this book is well timed, since we are living in an "information age.” Providing new technical findings, intellectual history and careful expositions of intriguing ideas, it appeals to a wide audience of scholars and researchers.
- Published
- 2016
- Full Text
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3. R-Mingle is Nice, and so is Arnon Avron
- Author
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J. Michael Dunn
- Subjects
Philosophy ,Nice ,Paraconsistent logic ,computer ,Terminology ,Epistemology ,computer.programming_language - Abstract
Arnon Avron has written: “Dunn-McCall logic RM is by far the best understood and the most well-behaved in the family of logics developed by the school of Anderson and Belnap.” I agree. There is the famous saying: “Do not let the perfect become the enemy of the good.” I might say: “good enough.” In this spirit, I will examine the logic R-Mingle, exploring how (in the terminology of Avron) it is only a “semi-relevant logic” but still a paraconsistent logic. I shall discuss the history of RM, and compare RM to Anderson and Belnap’s system R of relevant implication and to classical two-valued logic. There is a “consumer’s guide,” evaluating these logics as “tools,” in the light of my recent work on “Humans as Rational Toolmaking Animals.”
- Published
- 2021
- Full Text
- View/download PDF
4. IMPLICATIONAL RELEVANCE LOGIC IS 2-EXPTIME-COMPLETE.
- Author
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SCHMITZ, SYLVAIN
- Subjects
RELEVANCE logic ,LOGIC ,RELEVANCE (Philosophy) ,INTELLECT ,PHILOSOPHY - Abstract
We show that provability in the implicational fragment of relevance logic is complete for doubly exponential time, using reductions to and from coverability in branching vector addition systems. [ABSTRACT FROM PUBLISHER]
- Published
- 2016
- Full Text
- View/download PDF
5. Two proofs of the algebraic completeness theorem for multilattice logic
- Author
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Oleg Grigoriev and Yaroslav I. Petrukhin
- Subjects
Lindenbaum–Tarski algebra ,Logic ,010102 general mathematics ,Sequent calculus ,02 engineering and technology ,Plan (drawing) ,Mathematical proof ,01 natural sciences ,Algebra ,Philosophy ,Algebraic semantics ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Gödel's completeness theorem ,0101 mathematics ,Algebraic number ,Mathematics - Abstract
Shramko [(2016). Truth, falsehood, information and beyond: The American plan generalized. In K. Bimbo (Ed.), J. Michael Dunn on information based logics, outstanding contributions to logic ...
- Published
- 2019
- Full Text
- View/download PDF
6. RSL volume 9 issue 4 Cover and Front matter.
- Subjects
LOGIC ,INTELLECT ,PHILOSOPHY - Abstract
The front cover of the journal is presented along with the issue's editors and information on membership and subscriptions and table of contents.
- Published
- 2016
- Full Text
- View/download PDF
7. Philosophical Letters of David K. Lewis : Volume 1: Causation, Modality, Ontology
- Author
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David K. Lewis, Helen Beebee, A. R. J. Fisher, David K. Lewis, Helen Beebee, and A. R. J. Fisher
- Subjects
- Personal correspondence, Philosophers--United States--Correspondence, Metaphysics, Philosophers, Philosophy
- Abstract
David Kellogg Lewis (1941-2001) was one of the most influential philosophers of the twentieth century. He made significant contributions to almost every area of analytic philosophy including metaphysics, philosophy of language, philosophy of mind, and philosophy of science, and set the agenda for various debates in these areas which carry on to this day. In several respects he remains a contemporary figure, yet enough time has now passed for historians of philosophy to begin to study his place in twentieth century thought. His philosophy was constructed and refined not just through his published writing, but also crucially through his life-long correspondence with fellow philosophers, including leading figures such as D.M. Armstrong, Saul Kripke, W.V. Quine, J.J.C. Smart, and Peter van Inwagen. His letters formed the undercurrent of his published work and became the medium through which he proposed many of his well-known theories and discussed a range of philosophical topics in depth. A selection of his vast correspondence over a 40-year period is presented here across two volumes. As metaphysics is arguably where Lewis made his greatest contribution, this forms the focus of Volume 1. Arranged under the broad areas of Causation, Modality, and Ontology, the letters offer an organic story of the origins, development, breadth, and depth of his metaphysics in its historical context, as well as a glimpse into the influence of his many interlocutors. This volume will be an indispensable resource for contemporary metaphysics and for those interested in the Lewisian perspective.
- Published
- 2020
8. Meaning and Proscription in Formal Logic : Variations on the Propositional Logic of William T. Parry
- Author
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Thomas Macaulay Ferguson and Thomas Macaulay Ferguson
- Subjects
- Philosophy, Logic, Symbolic and mathematical, Proposition (Logic), Logic design, Analysis (Philosophy), Logic
- Abstract
This book aids in the rehabilitation of the wrongfully deprecated work of William Parry, and is the only full-length investigation into Parry-type propositional logics.A central tenet of the monograph is that the sheer diversity of the contexts in which the mereological analogy emerges – its effervescence with respect to fields ranging from metaphysics to computer programming – provides compelling evidence that the study of logics of analytic implication can be instrumental in identifying connections between topics that would otherwise remain hidden. More concretely, the book identifies and discusses a host of cases in which analytic implication can play an important role in revealing distinct problems to be facets of a larger, cross-disciplinary problem.It introduces an element of constancy and cohesion that has previously been absent in a regrettably fractured field, shoring up those who are sympathetic to the worth of mereological analogy. Moreover, it generates new interest in the field by illustrating a wide range of interesting features present in such logics – and highlighting these features to appeal to researchers in many fields.
- Published
- 2017
9. Paraconsistent Logic: Consistency, Contradiction and Negation
- Author
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Walter Carnielli, Marcelo Esteban Coniglio, Walter Carnielli, and Marcelo Esteban Coniglio
- Subjects
- Knowledge, Theory of, Philosophy, Logic
- Abstract
This book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including connections to other logics and applications in information processing, linguistics, reasoning and argumentation, and philosophy of science. It is recommended reading for anyone interested in the question of reasoning and argumentation in the presence of contradictions, in semantics, in the paradoxes of set theory and in the puzzling properties of negation in logic programming. Paraconsistent logic comprises a major logical theory and offers the broadest possible perspective on the debate of negation in logic and philosophy. It is a powerful tool for reasoning under contradictoriness as it investigates logic systems in which contradictory information does not lead to arbitrary conclusions. Reasoning under contradictions constitutes one of most important and creative achievements in contemporary logic, with deep roots in philosophical questions involving negation and consistencyThis book offers an invaluable introduction to a topic of central importance in logic and philosophy. It discusses (i) the history of paraconsistent logic; (ii) language, negation, contradiction, consistency and inconsistency; (iii) logics of formal inconsistency (LFIs) and the main paraconsistent propositional systems; (iv) many-valued companions, possible-translations semantics and non-deterministic semantics; (v) paraconsistent modal logics; (vi) first-order paraconsistent logics; (vii) applications to information processing, databases and quantum computation; and (viii) applications to deontic paradoxes, connections to Eastern thought and to dialogical reasoning.
- Published
- 2016
10. Entailment, Vol. II : The Logic of Relevance and Necessity
- Author
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ANDERSON, ALAN ROSS, BELNAP, NUEL D., DUNN, J. MICHAEL, Fine, Kit, Urquhart, Alasdair, Cohen, Daniel, Giambrone, Steve, Grover, Dorothy L., Gupta, Anil, Helman, Glen, Martin, Errol P., McRobbie, Michael A., Shapiro, Stuart, Wolf, Robert G., and including a Bibliography of Entailment by, ANDERSON, ALAN ROSS, BELNAP, NUEL D., DUNN, J. MICHAEL, Fine, Kit, Urquhart, Alasdair, Cohen, Daniel, Giambrone, Steve, Grover, Dorothy L., Gupta, Anil, Helman, Glen, Martin, Errol P., McRobbie, Michael A., Shapiro, Stuart, and Wolf, Robert G.
- Published
- 2017
- Full Text
- View/download PDF
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