Dimension Analysis of Cognition, Perception, Emotion
- From: "OsherD" <mdoctorow@xxxxxxxxxxx>
- Date: 4 Apr 2005 14:48:56 -0700
>>From Osher Doctorow mdoctorow@xxxxxxxxxxx
COPYRIGHT NOTICE
Dimensional Analysis of Cognition, Perception, Emotion
Copyright By Owner Osher Doctorow Ph.D.
I have been developing the theory that Cognition (C), Perception (p),
and Emotion (symbol E~) are actual dimensions on AERA-D and to some
extent sci.physics and elsewhere. Although Dimensional Analysis has
mostly been a tool of engineering and physics, it has been applied to
economics and finance by De Jong, to population studies by Bruno,
Doctorow, and Kappner (1981), to psychological measurement theory by
Krantz et al (1971), to astrophysics by Kurosh, etc. Various simple
introductions to Dimensional Analysis are by Langhaar, by Bridgeman, or
various other introductory papers on the internet.
The simplest definition of a generalized Dimension across disciplines
is: a variable on the most or nearly most Fundamental level of
analysis. In physics and engineering, dimensions are considered to be
Mass (M) (essentially weight when limited to the Earth), Length (L),
Time (T), Temperature (Theta), (Electric) Charge Q. Economic
dimensions discussed in De Jong and Krantz et al include Satisfaction
(S), Labor, and Money. In psychology and testing, I have argued that
Dimensions are Cognition, Perception, Emotion, and cutting across
disciplines Probability (P). Although Probability is often considered
to have no dimension because it has no units (unlike length with
inches, feet, yards, etc.) and because it involves often ratios which
might "cancel out" units, these arguments seem to fail because of the
Fundamental nature of Probability and the fact that many Probabilities
are not ratios while others are only "limits of ratios". In fact, as
Krantz et al have pointed out, under various scenarios Angle appears to
be a Dimension.
Somewhat less fundamental variables also have Dimensions which are
expressible as products or quotients of the above generalized
Fundamental Dimensions. For example, speed is Fundamentally Length
(distance) divided by Time, so it can be written as s = L/T or more
commonly in dimensional notation [s] = LT^(-1) where T^(-1) means 1
divided by T and LT^(-1) means L times T^(-1) and [s] means "the
Dimension of s".
One of the most interesting papers relating Cognition and Perception is
Zenon Pylyshyn's (Rutgers Center for Cognitive Science) "Is vision
continuous with cognition? The case for cognitive impenetrability of
visual perception," Behavioral and Brain Sciences 22(3) 1999, which is
available free on the internet under the title as keywords. I will try
to discuss this paper here in later postings as it relates to
dimensional analysis, which Pylyshyn does not explicitly get into but
which provides a "natural" framework for the paper.
Osher Doctorow
.
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