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This-essay is a8007241.htm which is available at the web-site www.essayz.com. See more notes at the bottom. Previous-Essay <== This-Essay ==> Following-Essay By-Months By-Years By-Words Webs of Like-&-Un-Like ESSAYS <==> Like-&-UN-Like This-One ========================================================== %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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