Linked bibliography for the SEP article "Relevance Logic" by Edwin Mares

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An extremely good, although slightly out of date, bibliography on relevance logic was put together by Robert Wolff and is in Anderson, Belnap, and Dunn (1992). What follows is a brief list of introductions to and books about relevant logic and works that are referred to above.

Books on Relevance Logic and Introductions to the Field:

  • Anderson, A.R. and N.D. Belnap, Jr., 1975, Entailment: The Logic of Relevance and Necessity, Princeton, Princeton University Press, Volume I. Anderson, A.R. N.D. Belnap, Jr. and J.M. Dunn (1992) Entailment, Volume II. [These are both collections of slightly modified articles on relevance logic together with a lot of material unique to these volumes. Excellent work and still the standard books on the subject. But they are very technical and quite difficult.] (Scholar)
  • Brady, R.T., 2005, Universal Logic, Stanford: CSLI Publications, 2005. [A difficult, but extremely important book, which gives details of Brady's semantics and his proofs that naïve set theory and higher order logic based on his weak relevant logic are consistent.] (Scholar)
  • Dunn, J.M., 1986, “Relevance Logic and Entailment” in F. Guenthner and D. Gabbay (eds.), Handbook of Philosophical Logic, Volume 3, Dordrecht: Reidel, pp. 117–24. [Dunn has rewritten this piece together with Greg Restall and the new version has appeared in volume 6 of the new edition of the Handbook of Philosophical Logic, Dordrecht: Kluwer, 2002, pp. 1–128.] (Scholar)
  • Mares, E.D., 2004, Relevant Logic: A Philosophical Interpretation, Cambridge: Cambridge University Press. (Scholar)
  • Mares, E.D. and R.K. Meyer, 2001, “Relevant Logics” in L. Goble (ed.), The Blackwell Guide to Philosophical Logic, Oxford: Blackwell. (Scholar)
  • Paoli, F., 2002, Substructural Logics: A Primer, Dordrecht: Kluwer. [Excellent and clear introduction to a field of logic that includes relevance logic.] (Scholar)
  • Priest, G., 2008, An Introduction to Non-Classical Logic: From If to Is, Cambridge: University of Cambridge Press. [A very good and extremely clear presentation of relevant and other non-classical logics that uses a tableau approach to proof theory.] (Scholar)
  • Read, S., 1988, Relevant Logic, Oxford: Blackwell. [A very interesting and fun book. Idiosyncratic, but philosophically adept and excellent on the pre-history and early history of relevance logic.] (Scholar)
  • Restall, G., 2000, An Introduction to Substructural Logics, London: Routledge. [Excellent and clear introduction to a field of logic that includes relevance logic.] (Scholar)
  • Rivenc, François, 2005, Introduction à la logique pertinente, Paris: Presses Universitaires de France. [In French. Gives a “structural” interpretation of relevant logic, which is largely proof theoretic. The structures involved are structures of premises in a sequent calculus.] (Scholar)
  • Routley, R., R.K. Meyer, V. Plumwood and R. Brady, 1983, Relevant Logics and its Rivals (Volume I), Atascardero, CA: Ridgeview. [A very useful book for formal results especially about the semantics of relevance logics. The introduction and philosophical remarks are full of “Richard Routleyisms”. They tend to be Routley's views rather than the views of the other authors and are fairly radical even for relevant logicians. Volume II updates Volume I and includes other topics such as conditionals, quantification, and decision procedures: R.Brady (ed.), Relevant Logics and their Rivals (Volum II), Aldershot: Ashgate, 2003.] (Scholar)
  • Goldblatt, R., 2011, Quantifiers, Propositions and Identity: Admissible Semantics for Quantified Modal and Substructural Logics, Cambridge: Cambridge University Press. [A detailed account of the admissible semantics for quantified logic, applied to both modal and relevance logic, and provides a new type of semantics for quantified relevance logic, the “cover semantics”.] (Scholar)

Other Works Cited:

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