Search results for 'relevance logic' (try it on Scholar)

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  1.  7
    Walter A. Carnielli, Itala M. L. D'ottaviano & Brazilian Conference on Mathematical Logic (1999). Advances in Contemporary Logic and Computer Science Proceedings of the Eleventh Brazilian Conference on Mathematical Logic, May 6-10, 1996, Salvador, Bahia, Brazil. [REVIEW] Monograph Collection (Matt - Pseudo).
    This volume presents the proceedings from the Eleventh Brazilian Logic Conference on Mathematical Logic held by the Brazilian Logic Society (co-sponsored by the Centre for Logic, Epistemology and the History of Science, State University of Campinas, Sao Paulo) in Salvador, Bahia, Brazil. The conference and the volume are dedicated to the memory of professor Mario Tourasse Teixeira, an educator and researcher who contributed to the formation of several generations of Brazilian logicians. Contributions were made from leading (...)
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  2.  29
    Philipp Steinkrüger (2015). Aristotle’s Assertoric Syllogistic and Modern Relevance Logic. Synthese 192 (5):1413-1444.
    This paper sets out to evaluate the claim that Aristotle’s Assertoric Syllogistic is a relevance logic or shows significant similarities with it. I prepare the grounds for a meaningful comparison by extracting the notion of relevance employed in the most influential work on modern relevance logic, Anderson and Belnap’s Entailment. This notion is characterized by two conditions imposed on the concept of validity: first, that some meaning content is shared between the premises and the conclusion, (...)
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  3.  12
    Eunsuk Yang (2015). Substructural Fuzzy-Relevance Logic. Notre Dame Journal of Formal Logic 56 (3):471-491.
    This paper proposes a new topic in substructural logic for use in research joining the fields of relevance and fuzzy logics. For this, we consider old and new relevance principles. We first introduce fuzzy systems satisfying an old relevance principle, that is, Dunn’s weak relevance principle. We present ways to obtain relevant companions of the weakening-free uninorm systems introduced by Metcalfe and Montagna and fuzzy companions of the system R of relevant implication and its neighbors. (...)
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  4.  27
    Vladimir L. Vasyukov (2011). Paraconsistency in Categories: Case of Relevance Logic. Studia Logica 98 (3):429-443.
    Categorical-theoretic semantics for the relevance logic is proposed which is based on the construction of the topos of functors from a relevant algebra (considered as a preorder category endowed with the special endofunctors) in the category of sets Set. The completeness of the relevant system R of entailment is proved in respect to the semantic considered.
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  5.  5
    Lisa Galminas & John G. Mersch (2012). A Pretabular Classical Relevance Logic. Studia Logica 100 (6):1211-1221.
    In this paper we construct an extension, ℒ, of Anderson and Belnap's relevance logic R that is classical in the sense that it contains p&p → q as a theorem, and we prove that ℒ is pretabular in the sense that while it does not have a finite characteristic matrix, every proper normal extension of it does. We end the paper by commenting on the possibility of finding other classical relevance logics that are also pretabular.
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  6.  46
    Jan Dejnožka (2010). The Concept of Relevance and the Logic Diagram Tradition. Logica Universalis 4 (1):67-135.
    What is logical relevance? Anderson and 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, less deeply with the containment of classes, and least of all with variable sharing in the Anderson–Belnap manner. Thus modern classical logicians such as Peirce, Frege, (...)
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  7.  63
    Ryszard Mirek (2011). The Systems of Relevance Logic. ARGUMENT 1 (1):87-102.
    The system R, or more precisely the pure implicational fragment R›, is considered by the relevance logicians as the most important. The another central system of relevance logic has been the logic E of entailment that was supposed to capture strict relevant implication. The next system of relevance logic is RM or R-mingle. The question is whether adding mingle axiom to R› yields the pure implicational fragment RM› of the system? As concerns the weak (...)
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  8.  11
    Luca Viganò (2000). An o-Space Decision Procedure for the Relevance Logic B+. Studia Logica 66 (3):385-407.
    In previous work we gave a new proof-theoretical method for establishing upper-bounds on the space complexity of the provability problem of modal and other propositional non-classical logics. Here we extend and refine these results to give an O -space decision procedure for the basic positive relevance logic B+. We compute this upper-bound by first giving a sound and complete, cut-free, labelled sequent system for B+, and then establishing bounds on the application of the rules of this system.
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  9.  16
    Arnon Avron (2014). What is Relevance Logic? Annals of Pure and Applied Logic 165 (1):26-48.
    We suggest two precise abstract definitions of the notion of ‘relevance logic’ which are both independent of any proof system or semantics. We show that according to the simpler one, R → source is the minimal relevance logic, but R itself is not. In contrast, R and many other logics are relevance logics according to the second definition, while all fragments of linear logic are not.
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  10.  11
    Josep Maria Font & Gonzalo Rodríguez (1994). Algebraic Study of Two Deductive Systems of Relevance Logic. Notre Dame Journal of Formal Logic 35 (3):369-397.
    In this paper two deductive systems associated with relevance logic are studied from an algebraic point of view. One is defined by the familiar, Hilbert-style, formalization of R; the other one is a weak version of it, called WR, which appears as the semantic entailment of the Meyer-Routley-Fine semantics, and which has already been suggested by Wójcicki for other reasons. This weaker consequence is first defined indirectly, using R, but we prove that the first one turns out to (...)
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  11.  11
    Robin Hirsch & Szabolcs Mikulás (2011). Positive Fragments of Relevance Logic and Algebras of Binary Relations. Review of Symbolic Logic 4 (1):81-105.
    We prove that algebras of binary relations whose similarity type includes intersection, union, and one of the residuals of relation composition form a nonfinitely axiomatizable quasivariety and that the equational theory is not finitely based. We apply this result to the problem of the completeness of the positive fragment of relevance logic with respect to binary relations.
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  12.  60
    Fred Johnson (1976). A Three-Valued Interpretation for a Relevance Logic. The Relevance Logic Newsletter 1 (3):123-128.
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  13.  11
    Teresa Kouri (forthcoming). Restall’s Proof-Theoretic Pluralism and Relevance Logic. Erkenntnis:1-10.
    Restall :279–291, 2014) proposes a new, proof-theoretic, logical pluralism. This is in contrast to the model-theoretic pluralism he and Beall proposed in Beall and Restall :475–493, 2000) and in Beall and Restall. What I will show is that Restall has not described the conditions on being admissible to the proof-theoretic logical pluralism in such a way that relevance logic is one of the admissible logics. Though relevance logic is not hard to add formally, one critical component (...)
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  14.  22
    Edwin D. Mares (1992). Semantics for Relevance Logic with Identity. Studia Logica 51 (1):1 - 20.
    Models are constructed for a variety of systems of quantified relevance logic with identity. Models are given for systems with different principles governing the transitivity of identity and substitution, and the relative merits of these principles are discussed. The models in this paper are all extensions of the semantics of Fine's Semantics for Quantified Relevance Logic (Journal of Philosophical Logic 17 (1988)).
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  15.  22
    James B. Freeman & Charles B. Daniels (1979). A Second-Order Relevance Logic with Modality. Studia Logica 38 (2):113 - 135.
    In this paper a system, RPF, of second-order relevance logic with S5 necessity is presented which contains a defined, notion of identity for propositions. A complete semantics is provided. It is shown that RPF allows for more than one necessary proposition. RPF contains primitive syntactic counterparts of the following semantic notions: (1) the reflexive, symmetrical, transitive binary alternativeness relation for S5 necessity, (2) the ternary Routley-Meyer alternativeness relation for implication, and (3) the Routley-Meyer notion of a prime intensional (...)
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  16.  7
    David C. Makinson, Relevance Logic as a Conservative Extension of Classical Logic.
    Relevance logic is ordinarily seen as a subsystem of classical logic under the translation that replaces arrows by horseshoes. If, however, we consider the arrow as an additional connective alongside the horseshoe, then another perspective emerges: the theses of relevance logic, specifically the system R, may also be seen as the output of a conservative extension of the relation of classical consequence. We describe two ways in which this may be done. One is by defining (...)
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  17.  17
    C. Kenneth Waters (1987). Relevance Logic Brings Hope to Hypothetico-Deductivism. Philosophy of Science 54 (3):453-464.
    Clark Glymour has argued that hypothetico-deductivism, which many take to be an important method of scientific confirmation, is hopeless because it cannot be reconstructed in classical logic. Such reconstructions, as Glymour points out, fail to uphold the condition of relevance between theory and evidence. I argue that the source of the irrelevant confirmations licensed by these reconstructions lies not with hypothetico-deductivism itself, but with the classical logic in which it is typically reconstructed. I present a new reconstruction (...)
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  18.  22
    Roger D. Maddux (2010). Relevance Logic and the Calculus of Relations. Review of Symbolic Logic 3 (1):41-70.
    Sound and complete semantics for classical propositional logic can be obtained by interpreting sentences as sets. Replacing sets with commuting dense binary relations produces an interpretation that turns out to be sound but not complete for R. Adding transitivity yields sound and complete semantics for RM, because all normal Sugihara matrices are representable as algebras of binary relations.
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  19. Fred Johnson (1977). A Natural Deduction Relevance Logic. The Bulletin of the Section of Logic 6 (4):164-168.
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  20. Michael Dunn & Greg Restall (2002). Relevance Logic. In D. Gabbay & F. Guenthner (eds.), Handbook of Philosophical Logic. Kluwer
     
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  21. Ahti-Veikko Pietarinen (2005). Compositionality, Relevance, and Peirce's Logic of Existential Graphs. Axiomathes 15 (4):513-540.
    Charles S. Peirce’s pragmatist theory of logic teaches us to take the context of utterances as an indispensable logical notion without which there is no meaning. This is not a spat against compositionality per se , since it is possible to posit extra arguments to the meaning function that composes complex meaning. However, that method would be inappropriate for a realistic notion of the meaning of assertions. To accomplish a realistic notion of meaning (as opposed e.g. to algebraic meaning), (...)
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  22.  42
    B. J. Copeland (1979). On When a Semantics is Not a Semantics: Some Reasons for Disliking the Routley-Meyer Semantics for Relevance Logic. [REVIEW] Journal of Philosophical Logic 8 (1):399 - 413.
  23.  49
    Kit Fine (1988). Semantics for Quantified Relevance Logic. Journal of Philosophical Logic 17 (1):27 - 59.
  24.  20
    Philip Kremer (1993). Quantifying Over Propositions in Relevance Logic: Nonaxiomatisability of Primary Interpretations of ∀P and ∃P. Journal of Symbolic Logic 58 (1):334-349.
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  25.  5
    Josep M. Font & Gonzalo Rodríguez (1990). Note on Algebraic Models for Relevance Logic. Mathematical Logic Quarterly 36 (6):535-540.
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  26. Johan van Benthem (1984). Review: B. J. Copeland, On When a Semantics is Not a Semantics: Some Reasons for Disliking the Routley-Meyer Semantics for Relevance Logic. [REVIEW] Journal of Symbolic Logic 49 (3):994-995.
     
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  27.  35
    Arnon Avron (1992). Whither Relevance Logic? Journal of Philosophical Logic 21 (3):243 - 281.
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  28.  13
    G. Charlwood (1981). An Axiomatic Version of Positive Semilattice Relevance Logic. Journal of Symbolic Logic 46 (2):233-239.
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  29.  14
    Alasdair Urquhart (1999). The Complexity of Decision Procedures in Relevance Logic II. Journal of Symbolic Logic 64 (4):1774-1802.
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  30. Brian Skyrms (1992). Review of “Hypothetico-Deductivism is Hopeless” by Clark Glymour,“Relevance Logic Brings Hope for Hypothetico-Deductivism” by C. Kenneth Waters, and “Truth, Content and Hypothetico-Deductive Method” by Thomas Grimes. [REVIEW] Journal of Symbolic Logic 57:756-758.
     
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  31.  26
    Garrel Pottinger (1979). A New Classical Relevance Logic. Journal of Philosophical Logic 8 (1):135 - 147.
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  32.  11
    M. W. Bunder (1979). A More Relevant Relevance Logic. Notre Dame Journal of Formal Logic 20 (3):701-704.
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  33.  3
    Brian Skyrms (1992). Review: Clark Glymour, Discussion: Hypothetico-Deductivism is Hopeless; C. Kenneth Waters, Relevance Logic Brings Hope to Hypothetico-Deductivism; Thomas R. Grimes, Discussion: Truth, Content, and the Hypothetico-Deductive Method. [REVIEW] Journal of Symbolic Logic 57 (2):756-758.
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  34.  2
    Aleksandar Kron (1985). A Constructive Proof of a Theorem in Relevance Logic. Mathematical Logic Quarterly 31 (25‐28):423-430.
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  35.  3
    Brian Skyrms (1992). Glymour Clark. Discussion: Hypothetico-Deductivism is Hopeless. Philosophy of Science, Vol. 47 (1980), Pp. 322–325. Waters C. Kenneth. Relevance Logic Brings Hope to Hypothetico-Deductivism. Philosophy of Science, Vol. 54 (1987), Pp. 453–464. Grimes Thomas R.. Discussion: Truth, Content, and the Hypothetico-Deductive Method. Philosophy of Science, Vol. 57 (1990), Pp. 514–522. [REVIEW] Journal of Symbolic Logic 57 (2):756-758.
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  36.  2
    Harry Deutsch (1992). Review: J. Michael Dunn, Relevance Logic and Entailment. [REVIEW] Journal of Symbolic Logic 57 (2):752-753.
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  37.  4
    Edwin Mares, Relevance Logic. Stanford Encyclopedia of Philosophy.
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  38.  4
    Josep M. Font & Gonzalo Rodríguez (1990). Note on Algebraic Models for Relevance Logic. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 36 (6):535-540.
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  39.  4
    Aleksandar Kron (1985). A Constructive Proof of a Theorem in Relevance Logic. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 31 (25-28):423-430.
    No categories
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  40.  35
    John A. Barker (1975). Relevance Logic, Classical Logic, and Disjunctive Syllogism. Philosophical Studies 27 (6):361 - 376.
  41.  29
    Maria Baghramian (1988). The Justification for Relevance Logic. Philosophical Studies 32:32-43.
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  42. M. W. Bunder (1980). Quantified relevance logic and generalised restricted generality. Logique Et Analyse 23 (90):319.
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  43.  31
    William Max Knorpp (1997). The Relevance of Logic to Reasoning and Beleif Revision: Harman on 'Change in View'. Pacific Philosophical Quarterly 78 (1):78–92.
    In Change of View: Principles of Reasoning, Gilbert Harman argues that (i) all genuine reasoning is a matter of belief revision, and that, since (ii) logic is not "specially relevant" to belief revision, (iii) logic is not specially relevant to reasoning, either. Thus, Harman suggests, what is needed is a "theory of reasoning"-which, incidentally, will be psychologistic, telling us both how we do and how we should reason. I argue that Harman fails to establish the need for such (...)
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  44.  22
    Marvin J. Croy (2010). Teaching the Practical Relevance of Propositional Logic. Teaching Philosophy 33 (3):253-270.
    This article advances the view that propositional logic can and should be taught within general education logic courses in ways that emphasizes its practical usefulness, much beyond what commonly occurs in logic textbooks. Discussion and examples of this relevance include database searching, understanding structured documents, and integrating concepts of proof construction with argument analysis. The underlying rationale for this approach is shown to have import for questions concerning the design of logic courses, textbooks, and the (...)
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  45.  3
    John W. Burbidge (2007). The Relevance of Hegel's Logic. Cosmos and History: The Journal of Natural and Social Philosophy 3 (2-3):211-221.
    Hegel defines his Logic as the science that thinks about thinking.nbsp; But when we interpret that work as outlining what happens when we reason we are vulnerable to Fregersquo;s charge of psychologism.nbsp; I use Hegelrsquo;s tripartite distinction among understanding, dialectical and speculative reason as operations of pure thought to suggest how thinking can work with objective concepts.nbsp; In the last analysis, however, our ability to move from the subjective contingency of representations and ideas to the pure concepts we think (...)
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  46. Alan Ross Anderson (1990). Entailment: The Logic of Relevance and Necessity. Princeton University Press.
  47.  5
    Richard McDonough (1986). The Argument of the Tractatus: Its Relevance to Contemporary Theories of Logic, Language, Mind, and Philosophical Truth. State University of New York Press.
    The Argument of the "Tractatus" presents a single unified interpretation of the Tractatus based on Wittgenstein's own view that the philosophy of logic is the real foundation of his philosophical system.
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  48. Alan R. Anderson & Nuel D. Belnap (1975). Entailment: The Logic of Relevance and Neccessity, Vol. I. Princeton University Press.
  49.  2
    Daya Krishna (1969). Modern Logic: Its Relevance to Philosophy. New Delhi, Impex India.
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  50. Daya Krishna, Dinesh Chandra Mathur & A. P. Rao (1969). Modern Logic its Relevance to Philosophy. Edited by Daya Krishna, D.C. Mathur [and] A.P. Rao. Impex India.
     
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