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2010 | 19 | 1-2 | 31–61

Article title

Inconsistency-adaptive modal logics. On how to cope with modal inconsistency

Authors

Title variants

Languages of publication

EN

Abstracts

EN
In this paper, I will characterize a new class of inconsistency-adaptive logics, namely inconsistency-adaptive modal logics. These logics cope with inconsistencies in a modal context. More specifically, when faced with inconsistencies, inconsistency-adaptive modal logics avoid explosion, but still allow the derivation of sufficient consequences to adequately explicate the part of human reasoning they are intended for.

Year

Volume

19

Issue

1-2

Pages

31–61

Physical description

Dates

published
2010-03-01

Contributors

author
  • Centre for Logic and Philosophy of Science, Ghent University, Ghent, Belgium

References

  • Diderik Batens. “Inconsistency-adaptive logics”, pp. 445–472 in: E. Orłowska, editor, Logic at Work. Essays Dedicated to the Memory of Helena Rasiowa. Physica Verlag (Springer), Heidelberg, New York, 1999.
  • Diderik Batens, “A survey of inconsistency-adaptive logics”, pp. 49–73 in: D. Batens, C. Mortensen, G. Priest, and J.P. Van Bendegem, editors, Frontiers of Paraconsistent Logic. Research Studies Press, Baldock, UK, 2000.
  • Diderik Batens. “A general characterization of adaptive logics”, Logique et Analyse 173–175 (2001): 45–68.
  • Diderik Batens, “A strengthening of the Rescher-Manor consequence relations”, Logique et Analyse 183–184 (2003): 289–313.
  • Diderik Batens, “A universal logic approach to adaptive logics”, Logica Universalis 1 (2007): 221–242.
  • Diderik Batens. “Aspects of the dynamics of discussions and logics handling them”. To appear.
  • Diderik Batens and Kristof De Clercq, “A rich paraconsistent extension of full positive logic”, Logique et Analyse 185–188 (2004): 227–257.
  • Diderik Batens and Lieven Haesaert, “On classical adaptive logics of induction”, Logique et Analyse, 173–175 (2001): 255–290.
  • Diderik Batens and Joke Meheus, “Recent results by the inconsistency-adaptive labourers”, pp. 274–290 in: J.-Y. Béziau, W. Carnielli, and D. Gabbay, editors, Handbook of Paraconsistency. College Publications, London, 2007.
  • Diderik Batens, Joke Meheus, and Dagmar Provijn. “An adaptive characterization of signed systems for paraconsistent reasoning”. To appear.
  • Diderik Batens, Joke Meheus, Dagmar Provijn, and Liza Verhoeven, “Some adaptive logics for diagnosis”, Logic and Logical Philosophy 11–12 (2003): 39–65.
  • Marcelo Coniglio, “Logics for deontic inconsistency”, CLE e-prints, 7(4), 2007.
  • Richard Epstein. Semantic Foundations of Logic, vol. 1. Kluwer, Dordrecht, 1990.
  • Lou Goble, “Paraconsistent modal logic”, Logique et Analyse 193 (2006): 3–29.
  • Hans Lycke, “Fitch-style natural deduction for modal paralogics”, Logique et Analyse 207 (2009): 193–218.
  • Hans Lycke, Relevance in Reasoning. The Adaptive Logics Approach, PhD thesis, Ghent University, Gent, Belgium, 2007.
  • Joke Meheus, “An adaptive logic for pragmatic truth”, pp. 167–185 in: W. Carnielli, M. Coniglio, and I.M. Loffredo D’Ottaviano, editors, Paraconsistency. The Logical Way to the Inconsistent. Marcel Dekker, New York, 2002.
  • Joke Meheus, “Paraconsistent compatibility”, Logique et Analyse 183–184 (2003): 251–287.
  • Joke Meheus, “An adaptive logic based on Jaśkowski’s approach to paraconsistency”, Journal of Philosophical Logic 35 (2006): 539–567.
  • Graham Priest, “Logic of paradox”, Journal of Philosophical Logic 8 (1979): 219–241.
  • Graham Priest, An Introduction to Non-Classical Logic. Cambridge University Press, Cambridge, 2001.
  • Graham Priest, “Paraconsistent logic”, pp. 287–393 in: D. Gabbay and F. Guenthner, editors, Handbook of Philosophical Logic, vol. 6. Kluwer, Dordrecht/Boston/London, 2nd edition, 2002.
  • Giuseppe Primiero and Joke Meheus, “Majority merging by adaptive counting”, Synthese (KRA-series), 165 (2008): 203–223.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-ed29f5a1-888d-469e-9e3a-7cd5a977d85d
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