Re: God=G_uv proves 40k B.C. Creation
From: George Hammond (nowhere_at_nomailspam.com)
Date: 10/18/04
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Date: Sun, 17 Oct 2004 23:49:24 -0400
"John" <JohnASiegel@worlodnet.att.net> wrote in
message news:4172A2A6.4020908@worlodnet.att.net...
<huge snip>
> >> [Dhemmeog]
> >>A metric is a binary function d(x,y) such that:
> >>
> >>1) It is positive: for all x and y d(x,y) >= 0.
> >>2) It is symmetric: for all x and y d(x,y) = d(y,x).
> >>3) It satisfies the triangle inequality: for all x, y and z
> >>d(x,y)+d(y,z)>=d(x,z).
> >>
> >>How does a function cause something?
> >
> >
> > [Hammond]
> > It is the "TRIANGLE INEQUALITY" that you just mentioned
> > that causes the METRIC to "shape objects".
> >
> > What it causes is the fact that if you have n points in
> > a space of N dimensions, and if n is sufficiently larger
> > than N, then while you can "arbitrally" specify some of
> > the d(x,y)'s, you CAN'T arbitrally specify ALL of them,
> > because some of them:
> >
> > "are fixed by triangulation using the metric"
> >
> > This means in effect, that the METRIC is what ultimately
> > determines the "SHAPE OF THE OBJECT".
> >
> > Obviously, for the same limited number of arbitrarally given
> > inital distances, choosing a different metric will CHANGE THE
> > NUMERICAL VALUE of the remaing distances and thereby
> > change the SHAPE of the object.... hence... different metrics
> > will form different shapes for the same numerical input data.
> >
> > Christ.... I hope you can understand that!!
> > [Hammond]
> > I demand that you either refute Einstein's proof that it
> > is "metrical triangulation" that causes the "shape of objects",
> > or RETRACT your objection to Hammond's statement
> > that "the Euclidean Metric causes cubes to exist".
> >
> > REFUTE or RETRACT!
> >
> >
> [John]
> All you have said is that the meaning of a point's coordinates depends
> on the coordinate system being used - that says nothing about the shape.
> By your "reasoning" there could be no such thing, for example, as a
cone.
> John
[Hammond]
WRONG Sherlock! the COORDINATES have been ELIMINATED
from the problem, and we are talking about only the PURE LENGTHS
between the n points (which can be measured with a tape measure).....
no talk of "coordinates" is allowed.... there ARE NO coordinates in the
problem. It turns out that all these distances cannot be "arbitrarally
selected".... because the Metric procribes what some of them have
to be by "triangulation" from a smaller number of "arbitrally selected"
values. Hence, it is the properties of the METRIC which ultimately
determines the "shape" of the configuration.
The beauty of Einstein's proof (loc. cit) is that it ELIMINATES
the coordinates from the discussion, and shows definitively that
the METRIC constrains, or determines (causes) certain mathematical
relations between the n(n-1)/2 distances between n points, and
therefore it is the METRIC which ultimately determines the
geometric appearance of a configuration of n points.
You better clean your glasses and take another look at what
you are talking about.
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