Abstract
The paper reviews a number of approaches for handling restricted quantification in relevant logic, and proposes a novel one. This proceeds by introducing a novel kind of enthymematic conditional.
Similar content being viewed by others
References
Beall, JC. (2004): Curry's Paradox, The Stanford Encyclopedia of Philosophy (Summer 2004 Edition), Edward N. Zalta (ed.), URL: http://plato.stanford.edu/archives/sum2004/entries/curry-paradox/.
Belnap, N. D. (1973): Restricted quantification and conditional assertion, Ch. 2, in H. Leblanc (ed.), Truth, Syntax and Modality, North Holland Publishing Co., Amsterdam.
Brady, R. T. (2003): Relevant Logic and their Rivals, Vol. II, Ashgate, Aldershot.
Cohen, D. (1992): Relevant implication and conditional assertion, in A. Anderson, N. D. Belnap and J. M. Dunn (eds.), Entailment, Vol. II, Princeton University Press, New Jersey, pp. 472–487.
Cooper, N. (1968): The propositional logic of ordinary discourse, Inquiry 11, 295–320.
Meyer, R. K. and Routley, R. (1973): Classical relevant logics, I, Stud. Log. 32, 51–68.
Priest, G. (1987): In Contradiction, Martinus Nijhoff, Dordrecht.
Priest, G. (2001): Introduction to Non-Classical Logic, Cambridge University Press, Cambridge.
Restall, G. (1993): How to be really contraction-free, Stud. Log. 52, 381–391.
Restall, G. (1995): Four-valued semantics for relevant logics (and some of their rivals), J. Philos. Logic 24, 139–160.
Restall, G. (2000): Introduction to Substructural Logics, Routledge, London.
Routley, R. (1984): The American plan completed: alternative classical-style semantics, without stars, for relevant and paraconsistent logics, Stud. Log. 43, 131–158.
Sylvan, R. and Nola, R. (1991): Confirmation without paradoxes, in G. Schurz and G. Dorn (eds.), Advances in Scientific Philosophy, Rodophi, Amsterdam, pp. 5–44; reprinted as ch. 10 of D. Hyde and G. Priest (eds.), Sociative Logics and their Applications: Essays by the Late Richard Sylvan, Ashgate, Aldershot (2000).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Beall, J., Brady, R.T., Hazen, A.P. et al. Relevant Restricted Quantification. J Philos Logic 35, 587–598 (2006). https://doi.org/10.1007/s10992-005-9008-5
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10992-005-9008-5