Re: #377 FrontView and RearView of infinite strings ; new textbook: Mathematical Physics (Reals & Counting Numbers/AP-adics Primer) for age 6 years onward

David R Tribble wrote:
(Before you say "comparison is not defined in the AP-adics",
I should point out that there is a trivial definition of < and >
for your AP-adics that you seemed to have overlooked.)


Archimedes Plutonium wrote:
No, I did not overlook things on that. I was trying to explain to you
that the points on a sphere surface or Elliptic Geometry have no
greater than or less than algebra. They do not form an Ordered Field.
And that is a different concept than that of a
sequence concept for that 2 follows 1 and 3 follows 2 so that sequence
or counting concept exists in AP-adics but we cannot say that
9999....99999 is greater than 000...0001 as an Ordered Field.

Since you can count 1, 2, 3, etc., it is trivially obvious to say
that any number k that you can count to is less than the
number that you can count to that comes after k, specifically,
k < k+1.

Otherwise, you'd be claiming that you reach 3 before you
reach 2 when you count the numbers. Are you claiming that?
.

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