Re: #312 points on the Elliptic Geometry have no greater than or less than relationship; new textbook: Mathematical Physics (Reals & Counting Numbers/AP-adics Primer) for age 6 years onward

a_plutonium <a_plutonium@xxxxxxxxxxx> writes:

Jesse F. Hughes wrote:
a_plutonium <a_plutonium@xxxxxxxxxxx> writes:

No, that is Euclidean geometry with its Absolute zero where you can
make claims of greater than.

This is Elliptic geometry where this is no Absolute zero, and there
is a North Pole which is imaginary that looks like a zero but not a
Absolute zero.

That *is* fascinating. Let me see if I get this straight.

The AP-Adics (or whatever they're called) are the "right" notion of
counting numbers.

But the AP-Adics have no relation of < at all.

Golly.

Yes, it is hard to believe and takes this book to come to the full
realization of how
a set of numbers that is the native numbers of Elliptic Geometry, how
they can have
Order of Progression by having successor and predecessor, yet with all
that order
they do not have "greater than or less than". Sort of something
learned as wisdom
in Quantum Mechanics that seems to defy commonsense, but there it is.
How you can
have "size" for 999....999999 is certainly larger than 1 or
5000......0000000 but that
99999.....999999 is neither greater than or less than 1.

So the wisdom is seeping through.

The wisdom that the Elliptic and Hyperbolic geometry have quantity and
have size and
have order and progression but has no "greater than or less than".

To have Greater than or Less than you need a system of numbers where
there is an
Absolute Zero and that occurs only in the Reals and its Euclidean
Geometry that the
Reals form. To say that point A or number A is greater than or less
than point B or number
B is only possible when there is a Absolute Zero. In the Reals we know
that 99 is greater than
1 and that 99 is larger than 1 by a size of 98 and all of that is
possible because of 0 on the
Reals. But in Elliptic Geometry and their native numbers of Counting
Numbers or AP-adics
we can only say that 999......9999999 is larger than 1 by a size of
99999.....9999998 but
we cannot say that 99999......999999 is greater than 1 or that 1 is
less than 99999.....99999
because there is no Absolute Zero. The analogy is that it is
ludicruous to say that the North
Pole is greater than or less than the South Pole, or that New York is
greater than or less
than London.

Yes, whatever. Forget "greater than" and "less than" and let's just
change the subject a bit.

If I start counting at 0, I get to 1 before I get to 10^1.
I get to 2 before I get to 10^2.
I get to 3 before I get to 10^3.
I get to 4 before I get to 10^4.

and so on, but I get to 10^{999....999} before I get to 999....999.

That's a bit odd, don't you think? And don't you agree that it
follows that there is some number n so that

If I start counting at 0, I get to n before I get to 10^n, but
I get to 10^{n+1} before I get to n+1
(or maybe at the same time).

Right? Do you have any clue what that n is?

--
Jesse F. Hughes
"I thought it relevant to inform that I notified the FBI a couple of
months ago about some of the math issues I've brought up here."
-- James S. Harris gives Special Agent Fox a new assignment.
.