David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Studia Logica 38 (2):211 - 231 (1979)
A system FDQ of first degree entailment with quantification, extending classical quantification logic Q by an entailment connective, is axiomatised, and the choice of axioms defended and also, from another viewpoint, criticised. The system proves to be the equivalent to the first degree part of the quantified entailmental system EQ studied by Anderson and Belnap; accordingly the semantics furnished are alternative to those provided for the first degree of EQ by Belnap. A worlds semantics for FDQ is presented, and the soundness and completeness of FDQ proved, the main work of the paper going into the proof of completeness. The adequacy result is applied to yield, as well as the usual corollaries, weak relevance of FDQ and the fact that FDQ is the common first degree of a wide variety of (constant domain) quantified relevant logics. Finally much unfinished business at the first degree is discussed.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Rudolf Carnap (1962). Logical Foundations of Probability. Chicago]University of Chicago Press.
Elliott Mendelson (1964). Introduction to Mathematical Logic. Princeton, N.J.,Van Nostrand.
Rudolf Carnap (1959). Introduction to Semantics. Cambridge, Harvard University Press.
Arthur N. Prior (1962). Formal Logic. Oxford, Clarendon Press.
Robert K. Meyer, J. Michael Dunn & Hugues Leblanc (1974). Completeness of Relevant Quantification Theories. Notre Dame Journal of Formal Logic 15 (1):97-121.
Citations of this work BETA
Dominic Hyde (2001). Richard (Routley) Sylvan: Writings on Logic and Metaphysics. History and Philosophy of Logic 22 (4):181-205.
Similar books and articles
J. Michael Dunn (2000). Partiality and its Dual. Studia Logica 66 (1):5-40.
Fabrice Correia (2004). Semantics for Analytic Containment. Studia Logica 77 (1):87-104.
Jacek Hawranek & Jan Zygmunt (1984). On the Degree of Complexity of Sentential Logics.II. An Example of the Logic with Semi-Negation. Studia Logica 43 (4):405 - 413.
Ross T. Brady (1988). A Content Semantics for Quantified Relevant Logics. I. Studia Logica 47 (2):111 - 127.
Edwin D. Mares & Robert Goldblatt (2006). An Alternative Semantics for Quantified Relevant Logic. Journal of Symbolic Logic 71 (1):163-187.
Edwin D. Mares (2004). “Four-Valued” Semantics for the Relevant Logic R. Journal of Philosophical Logic 33 (3):327-341.
Philip Kremer (1989). Relevant Predication: Grammatical Characterisations. [REVIEW] Journal of Philosophical Logic 18 (4):349 - 382.
Allard Tamminga & Koji Tanaka (1999). A Natural Deduction System for First Degree Entailment. Notre Dame Journal of Formal Logic 40 (2):258-272.
Ross T. Brady (1989). A Content Semantics for Quantified Relevant Logics. II. Studia Logica 48 (2):243 - 257.
Robert Goldblatt & Michael Kane (2010). An Admissible Semantics for Propositionally Quantified Relevant Logics. Journal of Philosophical Logic 39 (1):73 - 100.
Added to index2009-01-28
Total downloads17 ( #208,958 of 1,792,064 )
Recent downloads (6 months)2 ( #344,915 of 1,792,064 )
How can I increase my downloads?