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17Chapter XI. functions, arithmetic, and other special topicsIn J. Michael Dunn, Nuel D. Belnap & Alan Ross Anderson (eds.), Entailment, Vol. Ii: The Logic of Relevance and Necessity, Princeton University Press. pp. 392-487. 2017.
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24Chapter VIII. Ackermann's strenge implikationIn J. Michael Dunn, Nuel D. Belnap & Alan Ross Anderson (eds.), Entailment, Vol. Ii: The Logic of Relevance and Necessity, Princeton University Press. pp. 129-141. 2017.
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6Analytical table of contentsIn J. Michael Dunn, Nuel D. Belnap & Alan Ross Anderson (eds.), Entailment, Vol. Ii: The Logic of Relevance and Necessity, Princeton University Press. 2017.
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21Chapter X. proof theory and decidabilityIn J. Michael Dunn, Nuel D. Belnap & Alan Ross Anderson (eds.), Entailment, Vol. Ii: The Logic of Relevance and Necessity, Princeton University Press. pp. 267-391. 2017.
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14AcknowledgmentsIn J. Michael Dunn, Nuel D. Belnap & Alan Ross Anderson (eds.), Entailment, Vol. Ii: The Logic of Relevance and Necessity, Princeton University Press. 2017.
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10Special symbolsIn J. Michael Dunn, Nuel D. Belnap & Alan Ross Anderson (eds.), Entailment, Vol. Ii: The Logic of Relevance and Necessity, Princeton University Press. pp. 747-749. 2017.
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9ContentsIn J. Michael Dunn, Nuel D. Belnap & Alan Ross Anderson (eds.), Entailment, Vol. Ii: The Logic of Relevance and Necessity, Princeton University Press. 2017.
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6PrefaceIn J. Michael Dunn, Nuel D. Belnap & Alan Ross Anderson (eds.), Entailment, Vol. Ii: The Logic of Relevance and Necessity, Princeton University Press. 2017.
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11Chapter VI. the theory of entailmentIn J. Michael Dunn, Nuel D. Belnap & Alan Ross Anderson (eds.), Entailment, Vol. Ii: The Logic of Relevance and Necessity, Princeton University Press. pp. 1-69. 2017.
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12Index of subjectsIn J. Michael Dunn, Nuel D. Belnap & Alan Ross Anderson (eds.), Entailment, Vol. Ii: The Logic of Relevance and Necessity, Princeton University Press. pp. 719-746. 2017.
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16Entailment, Vol. Ii: The Logic of Relevance and NecessityPrinceton University Press. 2017.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…Read more
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70Relevant predication 3: essential propertiesIn J. Dunn & A. Gupta (eds.), Truth or Consequences: Essays in Honor of Nuel Belnap, Kluwer Academic Publishers. pp. 77--95. 1990.
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10A logical framework for the notion of natural propertyIn John Earman & John Norton (eds.), The Cosmos of Science, University of Pittsburgh Press. pp. 6--458. 1997.
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140Dualling: A critique of an argument of Popper and MillerBritish Journal for the Philosophy of Science 37 (2): 220-223. 1986.
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72Algebraic Methods in Philosophical LogicOxford University Press. 2001.This comprehensive text shows how various notions of logic can be viewed as notions of universal algebra providing more advanced concepts for those who have an introductory knowledge of algebraic logic, as well as those wishing to delve into more theoretical aspects
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18Two extensions of the structurally free logic LCLogic Journal of the IGPL 6 (3): 403-424. 1998.The paper considers certain extensions of the system LC introduced in Dunn & Meyer 1997. LC is a structurally free system , but it has combinators as formulas in the place of structural rules. We consider two ways to extend LC with conjunction and disjunction depending on whether they distribute over each other or not. We prove the elimination theorem for the systems. At the end of the paper we give a Routley-Meyer style semantics for the distributive extension, including some new definitions an…Read more
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76A consecutive calculus for positive relevant implication with necessityJournal of Philosophical Logic 9 (4): 343-362. 1980.
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24R-mingle and beneath. Extensions of the Routley-Meyer semantics for RNotre Dame Journal of Formal Logic 20 (n/a): 369. 1979.
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14Incompleteness of the bibinary semantics for RBulletin of the Section of Logic 16 (3): 107-109. 1987.
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105Canonical Extensions and Relational Completeness of Some Substructural LogicsJournal of Symbolic Logic 70 (3). 2005.In this paper we introduce canonical extensions of partially ordered sets and monotone maps and a corresponding discrete duality. We then use these to give a uniform treatment of completeness of relational semantics for various substructural logics with implication as the residual(s) of fusion
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155Relevance logics and relation algebrasReview of Symbolic Logic 2 (1): 102-131. 2009.Relevance logics are known to be sound and complete for relational semantics with a ternary accessibility relation. This paper investigates the problem of adequacy with respect to special kinds of dynamic semantics (i.e., proper relation algebras and relevant families of relations). We prove several soundness results here. We also prove the completeness of a certain positive fragment of R as well as of the first-degree fragment of relevance logics. These results show that some core ideas are sha…Read more
Areas of Specialization
Logic and Philosophy of Logic |
Philosophy of Computing and Information |
Areas of Interest
Philosophy of Mind |
Philosophy of Cognitive Science |
Philosophy of Mathematics |