A fuzzy and intuitionistic fuzzy account of the Liar paradox.

Nikolai G. Nikolov

Mathware and Soft Computing (2002)

  • Volume: 9, Issue: 1, page 25-32
  • ISSN: 1134-5632

Abstract

top
The Liar paradox, or the sentenceI am now saying is falseits 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.

How to cite

top

Nikolov, Nikolai G.. "A fuzzy and intuitionistic fuzzy account of the Liar paradox.." Mathware and Soft Computing 9.1 (2002): 25-32. <http://eudml.org/doc/39291>.

@article{Nikolov2002,
abstract = {The Liar paradox, or the sentenceI am now saying is falseits 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.},
author = {Nikolov, Nikolai G.},
journal = {Mathware and Soft Computing},
keywords = {Paradoja del mentiroso; Lógica difusa; Lógica intuicionista; Semántica},
language = {eng},
number = {1},
pages = {25-32},
title = {A fuzzy and intuitionistic fuzzy account of the Liar paradox.},
url = {http://eudml.org/doc/39291},
volume = {9},
year = {2002},
}

TY - JOUR
AU - Nikolov, Nikolai G.
TI - A fuzzy and intuitionistic fuzzy account of the Liar paradox.
JO - Mathware and Soft Computing
PY - 2002
VL - 9
IS - 1
SP - 25
EP - 32
AB - The Liar paradox, or the sentenceI am now saying is falseits 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.
LA - eng
KW - Paradoja del mentiroso; Lógica difusa; Lógica intuicionista; Semántica
UR - http://eudml.org/doc/39291
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.