From: Archimedes Plutonium on


Archimedes Plutonium wrote:
(snipped)
>
> And the last and largest infinite-number, similar to the line-ray in
> the proof is the
> number 9999....99999. And like in the proof above, the number
> 9999....9999 as the
> last and largest infinite-number would correspond to the last and
> largest finite-number
> of 10^500. The smallest finite-number is 0 and it would correspond to
> the smallest
> infinite-number of (10^500) + 1. By the way, this is not a 1 to 1
> correspondence but
> just a correspondence.
>

Now I have to be careful about talking about the smallest infinite ray
and smallest
line-segment. And here is where Physics, not mathematics enters the
picture
again to straighten out the situation. In physics the overall Logic is
duality such
as particle to wave and we see this in mathematics as Geometry versus
Numbers.
There are minor dualities throughout physics and duality is the
existence function
for Physics as well as mathematics. Existence function in that you
cannot have
a particle unless you have a background wave. You cannot have a
picture in the world
unless you have a background to frame the picture. So the duality of
Macroworld is the
Microworld.

In the proof above I can only talk about the Macroworld of the largest
line-ray with the largest
line-segment. Likewise when I bring in numbers I can only talk about 0
to 10^500 to 999....9999. I cannot talk about the MicroWorld of 0 to
10^-500.

For the smallest line-segment would be 1 x 10^-500 absolute value to 2
x 10^-500. And what is the smallest line-ray? Would be from 10^-500 to
an infinity of points to 0.

So in a sense, Physics has to enter Mathematics for a precision
definition not just one time to
select 10^500 but several times such as the duality logic, and for the
distinction of MacroWorld with MicroWorld.

It is a pitiful shame that mathematics had abandoned its prime job and
task and its reason for
existence as the science of precision. It abandoned that and let in a
floodgate of philosophy,
religion, and psychriatry to infest the halls and corridors of
mathematics. And ironically, it thought that the relationship of math
to physics was one of where math was the superior when
all along math was the inferior subset.

Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies