The Liar paradox, or the sentence
I am now saying is false
its various guises have been attracting the attention of logicians and linguists since ancient times. A commonly accepted treatment of the Liar paradox [7,8] is by means of Situation semantics, a powerful approach to natural language analysis. It is based on the machinery of non-well-founded sets developed in [1]. In this paper we show how to generalize these results including elements of fuzzy and intuitionistic fuzzy logic [3,4]. Basing on the results, a way is proposed towards solving the problem of modelling the two levels of Situation theory -infons and propositions- with a single one retaining the specific features of the two-levels logics.
@article{urn:eudml:doc:39291,
title = {A fuzzy and intuitionistic fuzzy account of the Liar paradox.},
journal = {Mathware and Soft Computing},
volume = {9},
year = {2002},
pages = {25-32},
zbl = {1030.03511},
mrnumber = {MR1956872},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39291}
}
Nikolov, Nikolai G. A fuzzy and intuitionistic fuzzy account of the Liar paradox.. Mathware and Soft Computing, Tome 9 (2002) pp. 25-32. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39291/