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From: Archimedes Plutonium on 24 Mar 2010 03:04

Now with a precision definition of Finite versus Infinite, all the old
unsolved problems
of Old Math disappear. Most of them were generated in the first place,
due to the
foggy notion of finite, such as Perfect Numbers Conjecture, Goldbach,
Fermat's Last,
and even the Riemann Hypothesis. With Finite defined as below 10^500
(and inverse),
then even problems such as the Riemann Hypothesis are seen as
illusions of entangled
infinity.

And in geometry, it does not escape being cleansed of finite versus
infinite, although the
majority of unsolved problems were embedded in Number theory. Geometry
had a few
unsolved and unsolvable problems due to the foggy stained finite
versus infinite. Here
I am talking specifically of the Kepler Packing and the Poincare
Conjectures. In the Kepler
Packing is the preposterous infinite 2D and 3D, when what was really
needed was that
seeing that 10^500 and beyond is the end of 2D and 3D. And as I wrote
in about the
last 30 or so posts about the tiling conjectures exposes the
preposterous Kepler Packing
even more. But an interesting commentary is on the Poincare
Conjecture, for the Kepler
Packing was large scale infinity, but the Poincare conjecture invites
us into a illusion of
infinity at the small or micro scale so that any closed loop, and
here, unlike Kepler Packing
it is the 10^-500 is the smallest size or number, and where geometry
axioms have to
be revisited and altered. Once a precision definition of Finite is
given, then the axiom
that between *any* two points has a third point is no longer true.
That between 1x10^-500
and 2x10^-500 there does not exist a third new number or point. Now
the changing of that
axiom affects more ideas and theorems than just the Poincare
Conjecture.

And then we get into the Riemann Hypothesis where both 10^500 and
10^-500 affect its
ideas of the Riemann Hypothesis. In the New Math, the RH is still a
meaningful conjecture
but its proof is only good for, or valid up to 10^500 (and inverse).
And it is likely that RH
is true.

So as I wrote so many times before in this book, that Mathematics is a
tiny subset of
Physics and the most important job of math is "precision, precision,
precision." And that
means there cannot be conjectures unsolved for centuries or milleniums
because that
means there are crumby, lousy imprecise definitions within the
conjecture and the reason
it is unsolved and unsolvable. Once Finite number is precisely defined
then the Perfect Numbers Conjectures (oldest unsolved math problems)
are solved, almost overnight, since
10^500 is all you need to reach for.

When math is set up correctly, with precision definitions, then all
the conjectures posed in
that set of precision definitions has solutions within the year. But
when math has bogus
imprecise or confused definitions, then like the Perfect Numbers, is
unsolvable.

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