Tuesday, April 12, 2011

Defining Isomorphism

Laurent Mottron uses isomorphic as a synonym to "Phenomenal resemblance" (p1386).  "The structured material composing human codes can be described as embedded organisations of isomorphism.  Each class of isomorphism defining a particular level (eg. phonological, lexical)."

Mottron goes on to describe isomorphisms as accessible as detecting recurrent structures within an array of units.  Because isomorphism's are a about similar structures, many can occur at once if someone is speaking, while using intonation as well as doing anything else visual or auditory which would create isorphisms in the observer. (p 1389).

Steven French Discusses isomorphisms as partial structures of an object which give clues about partial structures of another (1482).  Because everything has bits, some bits are common, and the isomorphism picks compelling similarities out of a pattern.  This concept can be quite abstract and pertain to the scopic view of the observer and the kind of details that they are attending to.

Mottron, Leaurent.  Dawson, Michelle. & Soulieres, Isabelle.  Enhanced perception in savant syndrome:  patterns, structure and creativity in Philosophical Transcripts of the Royal Society. Vol. 364, (2009) 1385–1391

French, Steven.  A Model-Theoretic Account of Representation (Or, I Don’t Know Much about Art . . . but I Know It Involves Isomorphism) in Philosophy of Science.  (2003) p1472-1483

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