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Cited by 208

The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.

Perceptual-cognitive universals as reflections of the world

Shepard, Roger N.·2001·Behavioral and Brain Sciences

Abstract

The universality, invariance, and elegance of principles governing the universe may be reflected in principles of the minds that have evolved in that universe – provided that the mental principles are formulated with respect to the abstract spaces appropriate for the representation of biologically significant objects and their properties. (1) Positions and motions of objects conserve their shapes in the geometrically fullest and simplest way when represented as points and connecting geodesic paths in the six-dimensional manifold jointly determined by the Euclidean group of three-dimensional space and the symmetry group of each object. (2) Colors of objects attain constancy when represented as points in a three-dimensional vector space in which each variation in natural illumination is canceled by application of its inverse from the three-dimensional linear group of terrestrial transformations of the invariant solar source. (3) Kinds of objects support optimal generalization and categorization when represented, in an evolutionarily-shaped space of possible objects, as connected regions with associated weights determined by Bayesian revision of maximum-entropy priors.

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Metadata

Authors
Shepard, R. N.
Venue
Behavioral and Brain Sciences
Published
2001-08
Volume
24
Issue
4
Pages
581-601
ISSN
  • 0140-525X (ISSN-L)
  • 1469-1825
OpenAlex
W2104465387
Cited by
208
References
10
FWCI
5.38
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Perceptual-cognitive universals as reflections of the world. https://app.cochat.ai/papers/10.1017/s0140525x01000012
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Shepard, R. N. (2001). Perceptual-cognitive universals as reflections of the world. Behavioral and Brain Sciences. https://doi.org/10.1017/s0140525x01000012

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.