Re: #292 All Possible Digit Arrangements gives order and pattern to the Reals and makes them Countable; new textbook: Mathematical Physics (Reals & Counting Numbers/AP-adics Primer) for age 6 years onward
- From: "Jesse F. Hughes" <jesse@xxxxxxxxxxxxx>
- Date: Wed, 14 Nov 2007 17:55:56 -0500
David R Tribble <david@xxxxxxxxxxx> writes:
David R Tribble writes:
I guess you're right - I don't understand what all that is
supposed to mean. I can see what those rightmost digits
mean:
...00054321 =
1x10^0 + 2x10^1 + 3x10^2 + 4x10^3 + 5x10^4
+ 0x10^5 + 0x10^6 + 0x10^7 + ...
But I can't make any sense out of the leftmost digits.
Could you express the number 9876000...00054321 in
the form of a sum of digits and powers of 10?
Otherwise I can't make any sense of where those leftmost
digits are supposed to mean mathematically.
Jesse F. Hughes wrote:
Golly, are you just slow or what?
The number is
1x10^0 + 2x10^1 + 3x10^2 + 4x10^3 + 5x10^4
+ 0x10^5 + 0x10^6 + 0x10^7 + ... + 5x10^{oo - 4}
+ 4x10^{oo - 3} + 3x10^{oo - 2} + 2x10^{oo - 1}
+ 1x10^oo
Duh.
I guess I'm just not up to big thinking like AP.
I guess it's that magical "..." part in the middle that bothers me.
I know you and me and a lot of others went through all this
some time ago with Tony Orlow over his infinite "T-riffic"
numbers, and it's all starting to sound like the same monotonous
tune, like deja vu all over again.
Except that AP discovered FrontView.
You really have a tendency for heresy, I'm afraid. Maybe I shouldn't
speak to you any more.
--
Jesse F. Hughes
"History will hate you and love me. I'm the misunderstood and
persecuted genius. You're the assholes." -- James Harris
.
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