A Case of Non-Euclidean Visualization

Journal of Phenomenological Psychology 5 (1):33-39 (1974)
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Abstract

The paper examines the philosophical implications of a phenomenon in the psychology of perception: the Mueller-Lyer illusion. In this visual effect, the impression is created that a horizontal line enclosed by acute angles is shorter than a similar line flanked by obtuse angles, though the lines are of equal length when measured with a ruler. While the Mueller-Lyer effect may be merely illusory when one adheres to the metrical laws of perceptual geometry based on Euclid, it is suggested that, from a phenomenological standpoint, the effect has a validity of its own. Going further, the Mueller-Lyer configuration is adapted to provide an example of a form of visual experience that specifically violates one of Euclid's basic postulates. The article closes by exploring the possibility of non-Euclidean visual geometries in relation to the concept of causality, Einsteinian relativity, and anomalous phenomena.

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Steven M. Rosen
College of Staten Island (CUNY)

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References found in this work

Space-Time-Matter.Hermann Weyl - 1922 - London,: E.P. Dutton and Company. Edited by Henry L. Brose.
Visual geometry.James Hopkins - 1973 - Philosophical Review 82 (1):3-34.
The physiognomy of the Mueller-lyer figure.Richard J. Alapack - 1971 - Journal of Phenomenological Psychology 2 (1):27-47.

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