A model for analogical reasoning

Bibliographic Collection: 
MOCA Reference, APE
Publication Type: Journal Article
Authors: Rumelhart, D.; Abrahamson, A.
Year of Publication: 1973
Journal: Cognitive Psychology
Volume: 5
Start Page: 1
Issue: 1
Pagination: 1-28
Publication Language: eng

A theory of analogical reasoning is proposed in which the elements of a set of concepts, e.g., animals, are represented as points in a multidimensional Euclidean space. Four elements A,B,C,D, are in an analogical relationship A:B::C:D if the vector distance from A to B is the same as that from C to D. Given three elements A,B,C, an ideal solution point I for A:B::C:? exists. In a problem A:B::C:D1, …, Di, …, Dn, the probability of choosing Di as the best solution is a monotonic decreasing function of the absolute distance of Di from I. A stronger decision rule incorporating a negative exponential function in Luce's choice rule is also proposed. Both the strong and weak versions of the theory were supported in two experiments where Ss rank-ordered the alternatives in problems A:B::C:D1,D2, D3D4. In a third experiment the theory was applied and further tested in teaching new concepts by analogy.

DOI: 10.1016/0010-0285(73)90023-6
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