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%VECTOR SPACES PERCEPTIONS 800724
The analogy of linear vector spaces can offer
insights into human perceptions. It is as if different
people lived in different sub-spaces of a total n-
dimensional vector space; each person perceiving only
those vectors which have components within their own sub-
space. Yet, it is more complicated than that. It is not
quite as if each person was totally unaware of some of the
dimensions. Rather, it is as if for each dimension in the
n-dimension space each person had a scale factor
proportional to how important that person perceived that
given dimension of life. To Jack beauty may be of no
importance, or maybe negligible importance. The
corresponding scale factor is so close to zero as to be
negligible. To Jill logical-completeness may in a similar
way be of negligible importance. Jack lives in a sub-
space without beauty vectors, Jill lives in a sub-space
without logical-completeness vectors.
Jack perceives Jill in terms of his own sub-space of
the total n-dimensional space. Similarly with Jill. Each
other's behavior is interpreted according to the relative
importance of various components of the lives as perceive
from within the framework of the observer's sub-space.
Thus people have different perceptions of the relative
importances of various aspects of each other's lives. Jill
may not be able to perceive that which is most important
to Jack, and what to Jill seems to be Jack's most
important concern may to Jack be of relatively little
importance compared to that which to Jack is of greatest
importance---but is virtually invisible to Jill because
such concerns are not present in Jill's sub-space. Thus
each person's perceptions of each other person's
priorities are distorted by the perceiver's own set of
priorities. It is difficult for one of us to perceive
with clarity another person's priority---if to us it is of
no consequence.
There are tragic consequences when we disagree on the
importance of dialogue and upon whether it is a means or
an end. Those who perceive the freedom to be in dialogue
as a reward for conformal behavior---will find it
difficult to be in dialogue and understand those who
regard open dialogue as a top priority value.
(c) 2005 by Paul A. Smith in
www.essayz.com Search for Integrity and Honesty
(On Being Yourself, Whole and Healthy)
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