Re: Have you ever wondered.....

From: Kees Roos (croos_at_xs4all.nl)
Date: 02/04/05 

Date: Fri, 4 Feb 2005 20:16:49 +0100

"AllYou!" <idaman@conversent.net> schreef in bericht
news:8oKdnYSAzcyB9p7fRVn-3Q@conversent.net...
>
> "Kees Roos" <croos@xs4all.nl> wrote in message
> news:42030fd2$0$28981$e4fe514c@news.xs4all.nl...
>> "AllYou!" <idaman@conversent.net> schreef in bericht
>> news:jeCdna13OPusu5zfRVn-3A@conversent.net...
>> >
>> > "Kees Roos" <croos@xs4all.nl> wrote in message
>> > news:42007481$0$28981$e4fe514c@news.xs4all.nl...
>> >> "AllYou!" <idaman@conversent.net> schreef in bericht
>> >> news:UpCdnW4qW63_tWPcRVn-hQ@conversent.net...
>> >
>> > [snip]
>> >
>> > The white ball and the tube it's in don't exist as objects to this
>> > experiment any more
>> > than the surface upon which the black balls roll or the graduated
>> > rulers
>> > along its edge.
>> > I suppose I confused you by making the white ball a ball at all. I
>> > thought I'd steer you
>> > clear of that confusion by making it a white ball and not a black one,
>> > but
>> > alas, to no
>> > avail.
>> >
>> > The only objects which we'll consider here are the two black marbles.
>> > The
>> > surface, the
>> > rulers, the tube, the white marble, and even the camera used to take
>> > the
>> > pictures are just
>> > tools and instruments used to facilitate the experiment. They are not
>> > the
>> > subjects of the
>> > experiment.
>> >
>> > Imagine just the two black marbles which are somehow fixed in the same
>> > plane and are
>> > moving in any direction along that plane. That's all there is to be
>> > evaluated in the
>> > experiment. We will take data about those objects and those objects
>> > only.
>> >
>> > Now, we need to acquire that data. We need mechanisms to define the
>> > area
>> > in space under
>> > consideration, as well as instruments to measure distances along the x
>> > & y
>> > axes of the
>> > plane; and we need a mechanism to provide a constant reference motion,
>> > as
>> > well as an
>> > instrument to measure that motion. Those objects (mechanisms and
>> > instruments) are not the
>> > objects of the experiment, they're just a necessary evil required to
>> > acquire data.
>> >
>> > If you don't yet get this incredibly simple construct, we've got
>> > nowhere
>> > to go.
>> >
>> So, new description:
>> ;; Description of experiment under discussion:
>
> [snip]
>
>
> Moving objects in sm: B1 and B2
> We have a 3D vectorspace sm,
> unit vector x' = unit vector y' = toof, unit vector z = nim
>
> As the experiment begins, we propel B1 and B2 in
> sm along randomly chosen, linear, non-parallel paths.
> Let's stop here.
>
> [note changes above.]
>
>
> Each point along the path of B1 and B2
> will have a unique, three dimensional position in sm.
> There will be an x-axis value, a y-axis value, and a
> z-axis value in sm.
>
> [note changes above.]
>
Problem!
If we leave out the 2D vectorspace s, we cannot
express that B1 and B2 move in such a space, and
consequently, the z-ordinates of B1 and B2 can have
different values.
Is that what you want?

[snip, I'll reinclude the rest of the description after this issue
will have been cleared] 

-- 
Regards, Kees Roos
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