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Similarity-based reasoning in conceptual spaces

Douven, Igor ; Verheyen, Steven ; Elqayam, Shira ; Gärdenfors, Peter LU and Osta-Vélez, Matías LU (2023) In Frontiers in Psychology 14.
Abstract

Whereas the validity of deductive inferences can be characterized in terms of their logical form, this is not true for all inferences that appear pre-theoretically valid. Nonetheless, philosophers have argued that at least some of those inferences—sometimes called “similarity-based inferences” —can be given a formal treatment with the help of similarity spaces, which are mathematical spaces purporting to represent human similarity judgments. In these inferences, we conclude that a given property pertains to a category of items on the grounds that the same property pertains to a similar category of items. We look at a specific proposal according to which the strength of such inferences is a function of the distance, as measured in the... (More)

Whereas the validity of deductive inferences can be characterized in terms of their logical form, this is not true for all inferences that appear pre-theoretically valid. Nonetheless, philosophers have argued that at least some of those inferences—sometimes called “similarity-based inferences” —can be given a formal treatment with the help of similarity spaces, which are mathematical spaces purporting to represent human similarity judgments. In these inferences, we conclude that a given property pertains to a category of items on the grounds that the same property pertains to a similar category of items. We look at a specific proposal according to which the strength of such inferences is a function of the distance, as measured in the appropriate similarity space, between the category referenced in the premise and the category referenced in the conclusion. We report the outcomes of three studies that all support the said proposal.

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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
category-based induction, conceptual spaces, inference, similarity, similarity based reasoning
in
Frontiers in Psychology
volume
14
article number
1234483
publisher
Frontiers Media S. A.
external identifiers
  • pmid:37731876
  • scopus:85171565145
ISSN
1664-1078
DOI
10.3389/fpsyg.2023.1234483
language
English
LU publication?
yes
id
bcd91f45-b179-4c08-91f4-846174b6c62c
date added to LUP
2023-12-20 14:00:49
date last changed
2024-04-18 23:39:20
@article{bcd91f45-b179-4c08-91f4-846174b6c62c,
  abstract     = {{<p>Whereas the validity of deductive inferences can be characterized in terms of their logical form, this is not true for all inferences that appear pre-theoretically valid. Nonetheless, philosophers have argued that at least some of those inferences—sometimes called “similarity-based inferences” —can be given a formal treatment with the help of similarity spaces, which are mathematical spaces purporting to represent human similarity judgments. In these inferences, we conclude that a given property pertains to a category of items on the grounds that the same property pertains to a similar category of items. We look at a specific proposal according to which the strength of such inferences is a function of the distance, as measured in the appropriate similarity space, between the category referenced in the premise and the category referenced in the conclusion. We report the outcomes of three studies that all support the said proposal.</p>}},
  author       = {{Douven, Igor and Verheyen, Steven and Elqayam, Shira and Gärdenfors, Peter and Osta-Vélez, Matías}},
  issn         = {{1664-1078}},
  keywords     = {{category-based induction; conceptual spaces; inference; similarity; similarity based reasoning}},
  language     = {{eng}},
  publisher    = {{Frontiers Media S. A.}},
  series       = {{Frontiers in Psychology}},
  title        = {{Similarity-based reasoning in conceptual spaces}},
  url          = {{http://dx.doi.org/10.3389/fpsyg.2023.1234483}},
  doi          = {{10.3389/fpsyg.2023.1234483}},
  volume       = {{14}},
  year         = {{2023}},
}