Switch to: References

Add citations

You must login to add citations.
  1. Routes to relevance: Philosophies of relevant logics.Shawn Standefer - 2024 - Philosophy Compass 19 (2):e12965.
    Relevant logics are a family of non-classical logics characterized by the behavior of their implication connectives. Unlike some other non-classical logics, such as intuitionistic logic, there are multiple philosophical views motivating relevant logics. Further, different views seem to motivate different logics. In this article, we survey five major views motivating the adoption of relevant logics: Use Criterion, sufficiency, meaning containment, theory construction, and truthmaking. We highlight the philosophical differences as well as the different logics they support. We end with some (...)
    No categories
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  • Cut and gamma I: Propositional and constant domain R.Yale Weiss - 2020 - Review of Symbolic Logic 13 (4):887-909.
    The main object of this article is to give two novel proofs of the admissibility of Ackermann’s rule (γ) for the propositional relevant logic R. The results are established as corollaries of cut elimination for systems of tableaux for R. Cut elimination, in turn, is established both nonconstructively (as a corollary of completeness) and constructively (using Gentzen-like methods). The extensibility of the techniques is demonstrated by showing that (γ) is admissible for RQ* (R with constant domain quantifiers). The status of (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
    		•
  • Relational proof system for relevant logics.Ewa Orlowska - 1992 - Journal of Symbolic Logic 57 (4):1425-1440.
    A method is presented for constructing natural deduction-style systems for propositional relevant logics. The method consists in first translating formulas of relevant logics into ternary relations, and then defining deduction rules for a corresponding logic of ternary relations. Proof systems of that form are given for various relevant logics. A class of algebras of ternary relations is introduced that provides a relation-algebraic semantics for relevant logics.
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark   8 citations  
  • Multisets and relevant implication I.Robert K. Meyer & Michael A. McRobbie - 1982 - Australasian Journal of Philosophy 60 (2):107 – 139.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   20 citations  
  • A Note on the Admissibility of Cut in Relevant Tableau Systems.Michael A. McRobbie & Robert K. Meyer - 1979 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 25 (32):511-512.
    Direct download  
     
    Export citation  
     
    Bookmark  
    		•
  • Relevance via decomposition.David Makinson - 2017 - Australasian Journal of Logic 14 (3).
    We report on progress and an unsolved problem in our attempt to obtain a clear rationale for relevance logic via semantic decomposition trees. Suitable decomposition rules, constrained by a natural parity condition, generate a set of directly acceptable formulae that contains all axioms of the well-known system R, is closed under substitution and conjunction, satisfies the letter-sharing condition, but is not closed under detachment. To extend it, a natural recursion is built into the procedure for constructing decomposition trees. The resulting (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  • Heterogeneous logic.I. L. Humberstone - 1988 - Erkenntnis 29 (3):395 - 435.
    This paper considers the question: what becomes of the notion of a logic as a way of codifying valid arguments when the customary assumption is dropped that the premisses and conclusions of these arguments are statements from some single language? An elegant treatment of the notion of a logic, when this assumption is in force, is that provided by Dana Scott's theory of consequence relations; this treatment is appropriately generalized in the present paper to the case where we do not (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   25 citations  
  • European Summer Meeting of the Association for Symbolic Logic (Logic Colloquium'88), Padova, 1988.R. Ferro - 1990 - Journal of Symbolic Logic 55 (1):387-435.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
    		•
  • Meeting of the association for symbolic logic: San francisco, 1981.Jon Barwise, Robert Vaught & Yiannis Moschovakis - 1983 - Journal of Symbolic Logic 48 (2):505-513.
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark  
    		•
  • Idealist Origins: 1920s and Before.Martin Davies & Stein Helgeby - 2014 - In Graham Oppy & Nick Trakakis (eds.), History of Philosophy in Australia and New Zealand. Dordrecht, Netherlands: Springer. pp. 15-54.
    This paper explores early Australasian philosophy in some detail. Two approaches have dominated Western philosophy in Australia: idealism and materialism. Idealism was prevalent between the 1880s and the 1930s, but dissipated thereafter. Idealism in Australia often reflected Kantian themes, but it also reflected the revival of interest in Hegel through the work of ‘absolute idealists’ such as T. H. Green, F. H. Bradley, and Henry Jones. A number of the early New Zealand philosophers were also educated in the idealist tradition (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
    		•