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Nonmonotonic Reasoning, Expectations Orderings, and Conceptual Spaces

Osta-Vélez, Matías LU and Gärdenfors, Peter LU (2022) In Journal of Logic, Language and Information 31(1). p.77-97
Abstract

In Gärdenfors and Makinson (Artif Intell 65(2):197–245, 1994) and Gärdenfors (Knowledge representation and reasoning under uncertainty, Springer-Verlag, 1992) it was shown that it is possible to model nonmonotonic inference using a classical consequence relation plus an expectation-based ordering of formulas. In this article, we argue that this framework can be significantly enriched by adopting a conceptual spaces-based analysis of the role of expectations in reasoning. In particular, we show that this can solve various epistemological issues that surround nonmonotonic and default logics. We propose some formal criteria for constructing and updating expectation orderings based on conceptual spaces, and we explain how to apply them to... (More)

In Gärdenfors and Makinson (Artif Intell 65(2):197–245, 1994) and Gärdenfors (Knowledge representation and reasoning under uncertainty, Springer-Verlag, 1992) it was shown that it is possible to model nonmonotonic inference using a classical consequence relation plus an expectation-based ordering of formulas. In this article, we argue that this framework can be significantly enriched by adopting a conceptual spaces-based analysis of the role of expectations in reasoning. In particular, we show that this can solve various epistemological issues that surround nonmonotonic and default logics. We propose some formal criteria for constructing and updating expectation orderings based on conceptual spaces, and we explain how to apply them to nonmonotonic reasoning about objects and properties.

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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Conceptual spaces, Expectations, Nonmonotonic inference, Typicality
in
Journal of Logic, Language and Information
volume
31
issue
1
pages
77 - 97
publisher
Springer
external identifiers
  • scopus:85119341193
ISSN
0925-8531
DOI
10.1007/s10849-021-09347-6
language
English
LU publication?
yes
id
6e25d61e-71dd-4b7c-be68-85b10099df75
date added to LUP
2021-12-13 14:10:33
date last changed
2025-04-04 13:56:32
@article{6e25d61e-71dd-4b7c-be68-85b10099df75,
  abstract     = {{<p>In Gärdenfors and Makinson (Artif Intell 65(2):197–245, 1994) and Gärdenfors (Knowledge representation and reasoning under uncertainty, Springer-Verlag, 1992) it was shown that it is possible to model nonmonotonic inference using a classical consequence relation plus an expectation-based ordering of formulas. In this article, we argue that this framework can be significantly enriched by adopting a conceptual spaces-based analysis of the role of expectations in reasoning. In particular, we show that this can solve various epistemological issues that surround nonmonotonic and default logics. We propose some formal criteria for constructing and updating expectation orderings based on conceptual spaces, and we explain how to apply them to nonmonotonic reasoning about objects and properties.</p>}},
  author       = {{Osta-Vélez, Matías and Gärdenfors, Peter}},
  issn         = {{0925-8531}},
  keywords     = {{Conceptual spaces; Expectations; Nonmonotonic inference; Typicality}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{77--97}},
  publisher    = {{Springer}},
  series       = {{Journal of Logic, Language and Information}},
  title        = {{Nonmonotonic Reasoning, Expectations Orderings, and Conceptual Spaces}},
  url          = {{http://dx.doi.org/10.1007/s10849-021-09347-6}},
  doi          = {{10.1007/s10849-021-09347-6}},
  volume       = {{31}},
  year         = {{2022}},
}