Hello Mark The most important concept of a Cartesian system of coordinates is the origin. What the system does, is providing a frame. Most often the scales at the axes of the system are the real or rational number line - but you could choose any other scale which could be expressed in one dimension if you wish. The important thing with the system is that you specify the location of a point in the system by its position relative to these axes. So, in fact, every Cartesian system of coordinates is relativistic (but in a kind of absolute way). I recently read about another kind of frame for curves in vector geometry. If you conceive a curve not as a sequence of points, but as a sequence of vectors, then you could take, for every such "point vector" the line tangent to the curve through the vector and then the normal to that line through the point vector (this is in a plane, of course). This also gives a frame of two orthogonal axes, on which point in the same direction as the vector, and the other orthogonal to that. This is, of course, just another kind of relativistic frame, in which the present state always is the origin (so that you also judge both the past and the future from the perspective of the present). If we should consider it as some kind of space, or "hyperspace", I guess that we first must try to conceptualize the origin somehow and just what kind of frame we want. I think I must consider that more. Perhaps you get some intuitive idea?
/A -----Original Message----- From: [email protected] [mailto:[email protected]] On Behalf Of 118 Sent: den 29 oktober 2010 08:25 To: [email protected] Subject: Re: [MD] An attempt to reconcile the Metaphysics of Quality with the Cartesian dichotomy and ordinary epistemology > > Hi A, > > I was rereading some of this string, to get some more insight. And > the thought of cartesian coordinates came to mind. That is for localization. If there were a betterness scale, I believe that it would have to have certain coordinates. Take for example the quality of a mystical experience. Such an experience is then judged by the judges. Now a mystical experience in an insane asylum would be low value, an identical mystical experience in a church during some fundamental social upheaval may be of high value. So, the coordinates to judge betterness, must have localization components, temporal component, and relevance components, to provide strength of betterness. In other words quality is a function of where something happened, when it happened, and what happened. This would be a five dimensional plot since location takes 3 coordinates. The end measure of betterness is then the combination of all factors in some kind of set theory or something. If we then ascribe optimal values for each coordinate and rank the resulting quality in question, perhaps a measurement of direction is possible. Can you do something with this? Cheers, Mark Moq_Discuss mailing list Listinfo, Unsubscribing etc. http://lists.moqtalk.org/listinfo.cgi/moq_discuss-moqtalk.org Archives: http://lists.moqtalk.org/pipermail/moq_discuss-moqtalk.org/ http://moq.org/md/archives.html Moq_Discuss mailing list Listinfo, Unsubscribing etc. http://lists.moqtalk.org/listinfo.cgi/moq_discuss-moqtalk.org Archives: http://lists.moqtalk.org/pipermail/moq_discuss-moqtalk.org/ http://moq.org/md/archives.html
