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2015 | 24 | 2 | 241–253

Article title

A system for proper multiple-conclusion entailment

Title variants

Languages of publication

EN

Abstracts

EN
The concept of proper multiple-conclusion entailment is introduced. For any sets X, Y of formulas, we say that Y is properly mc-entailed by X iff Y is mc-entailed by X, but no A ∈ Y is single-conclusion entailed by X. The concept has a natural interpretation in terms of question evocation. A sound and complete axiom system for the propositional case of proper mc-entailment is presented.

Year

Volume

24

Issue

2

Pages

241–253

Physical description

Dates

published
2015-06-01
online
2015-02-04

Contributors

author
  • Institute of Philosophy, University of Zielona Góra, Zielona Góra, Poland
  • Department of Logic and Cognitive Science, Institute of Psychology, Adam Mickiewicz University, Poznań, Poland

References

  • Avron, A., “Natural 3-valued logics – characterization and proof theory”, Journal of Symbolic Logic, 56 (1991): 276–294. DOI: 10.2307/2274919
  • Avron, A., and A. Zamansky, “Completeness and axiomatizability in many-valued logic”, pages 227–304 in volume 16 of Handbook of Philosophical Logic, Springer, Dordrecht, 2011.
  • Bolc, L., and P. Borowik, Many-Valued Logics 1. Theoretical Foundations, Springer, Berlin/Heilderberg/New York, 1992.
  • Carnap, R., Formalization of Logic, Harvard University Press, Cambridge, MA, 1943.
  • Gabbay, D. M., Semantical Investigations in Heyting’s Intuitionistic Logic, Reidel, Dordrecht, 1981.
  • Gentzen, G., “Investigation into logical deduction”, pages 68–131 in The Collected Papers of Gerhard Gentzen, M. E. Szabo (ed.), North-Holland, 1969.
  • Kracht, M., “Judgement and consequence relations”, Journal of Applied Non-Classical Logics, 20 (2010): 423–435. DOI: 10.3166/jancl.20.423-435
  • McCarthy, J., “A basis for a mathematical theory of computation”, pages 33–70 in Computer Programming and Formal Systems, P. Braffort and D. Hirshberg (eds.), North-Holland, Amsterdam, 1963.
  • Scott, D., “Completeness and axiomatizability in many-valued logic”, pages 411–435 in volume 25 of Proceedings of Symposia in Pure Mathematics, American Mathematican Society, Providence, Rhode Island, 1974.
  • Shoesmith, D. J., and T. J. Smiley Multiple-conclusion Logic, Cambridge University Press, Cambridge, 1978.
  • Skura, T., “A refutation theory”, Logica Universalis, 3 (2009): 293–302. DOI: 10.1007/s11787-009-0009-y
  • Wiśniewski, A., Questions, Inferences, and Scenarios, volume 46 of Studies in Logic, College Publications, London, 2013.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-a31ef8d3-2d2d-48ca-a6a8-bb902de4e13e
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