David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studia Logica 43 (1-2):107 - 116 (1984)
A typical theorem of conaexive logics is Aristotle''s Thesis(A), (AA).A cannot be added to classical logic without producing a trivial (Post-inconsistent) logic, so connexive logics typically give up one or more of the classical properties of conjunction, e.g.(A & B)A, and are thereby able to achieve not only nontriviality, but also (negation) consistency. To date, semantical modellings forA have been unintuitive. One task of this paper is to give a more intuitive modelling forA in consistent logics. In addition, while inconsistent but nontrivial theories, and inconsistent nontrivial logics employing prepositional constants (for which the rule of uniform substitution US fails), have both been studied extensively within the paraconsistent programme, inconsistent nontrivial logics (closed under US) do not seem to have been. This paper gives sufficient conditions for a logic containingA to be inconsistent, and then shows that there is a class of inconsistent nontrivial logics all containingA. A second semantical modelling forA in such logics is given. Finally, some informal remarks about the kind of modellingA seems to require are made.
|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
R. B. Angell (1962). A Propositional Logic with Subjunctive Conditionals. Journal of Symbolic Logic 27 (3):327-343.
Storrs McCall (1966). Connexive Implication. Journal of Symbolic Logic 31 (3):415-433.
R. Routley & H. Montgomery (1968). The Inadequacy of Kripke's Semantical Analysis of D2 and D. Journal of Symbolic Logic 33 (4):568.
Richard Routley, Val Plumwood, Robert K. Meyer & Ross T. Brady (1982). Relevant Logics and Their Rivals. Ridgeview.
Citations of this work BETA
Ross T. Brady (1989). A Routley-Meyer Affixing Style Semantics for Logics Containing Aristotle's Thesis. Studia Logica 48 (2):235 - 241.
Similar books and articles
Diderik Batens (2006). Narrowing Down Suspicion in Inconsistent Premise Sets. Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):185-209.
Greg Restall (2002). Paraconsistency Everywhere. Notre Dame Journal of Formal Logic 43 (3):147-156.
Heinrich Wansing (2006). Contradiction and Contrariety. Priest on Negation. Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):81-93.
Dimiter Vakarelov (1985). An Application of Rieger-Nishimura Formulas to the Intuitionistic Modal Logics. Studia Logica 44 (1):79 - 85.
Arnon Avron, Many-Valued Non-Deterministic Semantics for First-Order Logics of Formal (in)Consistency.
Joel M. Smith (1988). Scientific Reasoning or Damage Control: Alternative Proposals for Reasoning with Inconsistent Representations of the World. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:241 - 248.
Gemma Robles & José M. Méndez (2011). A Routley-Meyer Semantics for Relevant Logics Including TWR Plus the Disjunctive Syllogism. Logic Journal of the Igpl 19 (1):18-32.
Arnon Avron, Many-Valued Non-Deterministic Semantics for First-Order Logics of Formal (In)Consistency.
Greg Restall (forthcoming). Substructural Logics. Stanford Encyclopedia of Philosophy.
Added to index2009-01-28
Total downloads6 ( #233,499 of 1,679,401 )
Recent downloads (6 months)1 ( #183,003 of 1,679,401 )
How can I increase my downloads?