Perceptual-cognitive universals as reflections of the world

Behavioral and Brain Sciences 24 (4):581-601 (2001)
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. Key Words: apparent motion; Bayesian inference; cognition; color constancy; generalization; mental rotation; perception; psychological laws; psychological space; universal laws.
Keywords apparent motion   Bayesian inference   cognition   color constancy   generalization   mental rotation   perception   psychological laws   psychological space   universal laws
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Citations of this work BETA
Lieven Decock & Igor Douven (2011). Similarity After Goodman. Review of Philosophy and Psychology 2 (1):61-75.
Jacob Feldman (2013). Tuning Your Priors to the World. Topics in Cognitive Science 5 (1):13-34.
David Hilbert & Nick Huggett (2006). Groups in Mind. Philosophy of Science 73 (5):765-777.

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