Being Permitted, Inconsistencies, and Question Raising

  • Andrzej Wiśniewski
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 152)


A semantic relation of being permitted by a set of possible worlds is defined and analysed. We call it “permittance”. The domain of permittance comprises declarative sentences/formulas. A paraconsistent consequence relation which is both permittance-preserving and truth-preserving is characterized. An application of the introduced concepts in the analysis of question raising is presented.


Being permitted Consequence Paraconsistency Logic of questions 

Mathematics Subject Classification (2000)

Primary 03B60 Secondary 03B20 03B53 


  1. 1.
    Ciardelli, I., Roelofsen, F.: Inquisitive logic. J. Philos. Log. 40, 55–94 (2011)CrossRefMathSciNetzbMATHGoogle Scholar
  2. 2.
    Ciardelli, I., Groenendijk, J., Roelofsen, F.: On the semantics and logic of declaratives and interrogatives. Synthese. 192, 1689–1728 (2015)Google Scholar
  3. 3.
    Jaśkowski, S.: Rachunek zdań dla systemów dedukcyjnych sprzecznych, Studia Societatis Scientiarum Toruniensis. Sect. A. I, 55–77 (1948)Google Scholar
  4. 4.
    Jaśkowski, S.: A propositional calculus for inconsistent deductive systems. Log. Log. Philos. 7, 35–56 (1999)CrossRefzbMATHGoogle Scholar
  5. 5.
    Meheus, J.: Erotetic arguments from inconsistent premises. Log. Anal. 165–167, 49–80 (1999)MathSciNetGoogle Scholar
  6. 6.
    Meheus, J.: Adaptive logic for question evocation. Log. Anal. 173–175, 135–164 (2001)MathSciNetGoogle Scholar
  7. 7.
    Roelofsen, F.: Algebraic foundations for the semantic treatment of inquisitive content. Synthese 190, 79–102 (2013)CrossRefMathSciNetGoogle Scholar
  8. 8.
    Shoesmith, D.J., Smiley, T.J.: Multiple-Conclusion Logic. Cambridge University Press, Cambridge (1978)CrossRefzbMATHGoogle Scholar
  9. 9.
    Wiśniewski, A.: The Posing of Questions: Logical Foundations of Erotetic Inferences. Kluwer, Dordrecht (1995)CrossRefGoogle Scholar
  10. 10.
    Wiśniewski, A.: Questions and inferences. Log. Anal. 173–175, 5–43 (2001)Google Scholar
  11. 11.
    Wiśniewski, A.: Questions, Inferences, and Scenarios. College Publications, London (2013)zbMATHGoogle Scholar

Copyright information

© Springer India 2015

Authors and Affiliations

  1. 1.Department of Logic and Cognitive Science, Institute of PsychologyAdam Mickiewicz UniversityPoznańPoland

Personalised recommendations