Propositions, Possible Worlds, and Recursion

• Authors: Andrzej Wiśniewski
• Languages of publication: EN

Abstracts

EN

The issue of reduction of propositions to sets of possible worlds is addressed. It is shown that, under some natural assumptions, there always exist recursive propositions, i.e. decidable sets of possible worlds, which are not assigned to any sentence of a language. Some consequences of this result are discussed.

Keywords

EN

Propositions; possible worlds; decidability

• Publisher: Uniwersytet Mikołaja Kopernika (Nicolaus Copernicus University in Toruń)
• Journal: Logic and Logical Philosophy
• Year: 2011
• Volume: 20
• Issue: 1-2
• Pages: 73-79

Dates

published

2011-06-01

online

2013-07-02

Contributors

author

Andrzej Wiśniewski

• Chair of Logic and Cognitive Science Institute of Psychology Adam Mickiewicz University Poznań, Poland

References

• Berto, F. [2010], “Impossible worlds and propositions: Against the parity the- sis”, The Philosophical Quarterly 60: 471-486.[WoS]
• Cresswell, M. J. [1972], “The world is everything that is the case”, AustralasianJournal of Philosophy 30: 1-13.
• Kaplan, D. [1994], “A problem in possible-world semantics”, pp. 41-52 in: W. Sinnot-Armstrong, D. Raffman and N. Asher (eds.), Modality, Moralityand Belief: Essays in Honor of Ruth Barcan Marcus, Cambridge University Press, Cambridge.
• Lindstrom, S. [2009], “Possible worlds semantics and the liar. Reflections on a problem posed by Kaplan”, pp. 93-109 in: J. Almog and P. Leonardi (eds.), The Philosophy of David Kaplan, Oxford Scholarship Online Monographs, Oxford.
• Montague, R. [1969], “On the nature of certain philosophical entities”, TheMonist 53: 159-194.
• Stalnaker, R. [1970], “Pragmatics”, Synthese 22: 272-289.
• Wiśniewski, A., and J. Pogonowski [2010], “Diagonalization in double frames”, Logica Universalis 4: 31-39.

Identifiers

DOI

10.12775/LLP.2011.004