- Author
- Liesbeth Martens and Giuseppe Primiero (UGent)
- Organization
- Abstract
- In this paper, we offer a formal approach to the scantily investigated problem of vague expressions with indexicals, in particular including the spatial indexical `here' and the temporal indexical `now'. We present two versions of an adaptive fuzzy logic extended with an indexical, formally expressed by a modifier as a function that applies to predicative formulas. In the first version, such an operator is applied to non-vague predicates. The modified formulas may have a fuzzy truth value and fit into a Sorites paradox. We use adaptive fuzzy logics as a reasoning tool to address such a paradox. The modifier enables us to off er an adequate explication of the dynamic reasoning process. In the second version, a different result is obtained for an indexical applied to a formula with a possibly vague predicate, where the resulting modified formula has a crisp value and does not add up to a Sorites paradox.
- Keywords
- Vagueness, Adaptive Logics., Indexicals
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-3063128
- MLA
- Martens, Liesbeth, and Giuseppe Primiero. “A Formal Approach to Vague Expressions with Indexicals.” JSAI-ISAI, edited by Alastair Butler, Japanese Society for Artificial Intelligence, 2012, pp. 37–51.
- APA
- Martens, L., & Primiero, G. (2012). A formal approach to vague expressions with indexicals. In A. Butler (Ed.), JSAI-ISAI (pp. 37–51). Japanese Society for Artificial Intelligence.
- Chicago author-date
- Martens, Liesbeth, and Giuseppe Primiero. 2012. “A Formal Approach to Vague Expressions with Indexicals.” In JSAI-ISAI, edited by Alastair Butler, 37–51. Japanese Society for Artificial Intelligence.
- Chicago author-date (all authors)
- Martens, Liesbeth, and Giuseppe Primiero. 2012. “A Formal Approach to Vague Expressions with Indexicals.” In JSAI-ISAI, ed by. Alastair Butler, 37–51. Japanese Society for Artificial Intelligence.
- Vancouver
- 1.Martens L, Primiero G. A formal approach to vague expressions with indexicals. In: Butler A, editor. JSAI-ISAI. Japanese Society for Artificial Intelligence; 2012. p. 37–51.
- IEEE
- [1]L. Martens and G. Primiero, “A formal approach to vague expressions with indexicals,” in JSAI-ISAI, Miyazaki, Japan, 2012, pp. 37–51.
@inproceedings{3063128,
abstract = {{In this paper, we offer a formal approach to the scantily investigated problem of vague expressions with indexicals, in particular including the spatial indexical `here' and the temporal indexical `now'. We present two versions of an adaptive fuzzy logic extended with an indexical, formally expressed by a modifier as a function that applies to predicative formulas. In the first version, such an operator is applied to non-vague predicates. The modified formulas may have a fuzzy truth value and fit into a Sorites paradox. We use adaptive fuzzy logics as a reasoning tool to address such a paradox. The modifier enables us to off er an adequate explication of the dynamic reasoning process. In the second version, a different result is obtained for an indexical applied to a formula with a possibly vague predicate, where the resulting modified formula has a crisp value and does not add up to a Sorites paradox.}},
author = {{Martens, Liesbeth and Primiero, Giuseppe}},
booktitle = {{JSAI-ISAI}},
editor = {{Butler, Alastair}},
isbn = {{9784915905513}},
keywords = {{Vagueness,Adaptive Logics.,Indexicals}},
language = {{eng}},
location = {{Miyazaki, Japan}},
pages = {{37--51}},
publisher = {{Japanese Society for Artificial Intelligence}},
title = {{A formal approach to vague expressions with indexicals}},
year = {{2012}},
}