Sets of Transformations as Criteria of Diversity within Sets of Objects |
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Institution: | Department of General Psychology, University of Padova, Padova, Italy;Department of Emergency Medicine, University of Maryland School of Medicine, 110 South Paca Street, Sixth Floor, Suite 200, Baltimore, MD 21201, USA;Department of Emergency Medicine, Madigan Army Medical Center, 9040 Jackson Avenue, Tacoma, WA 94804, USA;Emergency Medicine, Yale School of Medicine, 464 Congress Avenue, Suite 260, New Haven, CT 06519-1315, USA;Department of Political Science, University of Amsterdam, PO Box 15578, 1001NB Amsterdam, The Netherlands;Department of Political Science, Binghamton University, P.O. Box 6000, Binghamton, NY 13902-6000, USA |
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Abstract: | A set of transformations acting within a domain may serve as a standard in judging the diversity within any subset of that domain. We distinguish two possible outcomes of such a comparison (upper vs. lower bound to diversity), highlight some basic properties of both concepts, and illustrate them with examples. In the concluding section we indicate reasons of importance of such a “transformational approach to diversity”, by referring to the process of “transformation induction” and to problems in vision psychophysics. |
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Keywords: | Diversity Inner transformation Invariance |
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