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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: Does the number of nines increase?
Date: Tue, 16 Jul 2024 03:57:42 +0200
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Am 16.07.2024 um 03:49 schrieb Chris M. Thomasson:
> On 7/15/2024 6:47 PM, Moebius wrote:
>> Am 16.07.2024 um 03:32 schrieb Chris M. Thomasson:
>>
>>> going left to right, so to speak, [...]
>>>
>>> 1/1, 1/2, 1/3, 1/4, ...
>>
>> Nope, here you are going "from right to left" (on the real line).
>>
>> You see, 1/1 is larger than, say, 1/2, hence on "the real line" 1/1 is 
>> RIGHT from 1/2. No?
>>
>> Hint:
>>
>> ... | ... | ... | ... (real line)
>>
>>      0    1/2   1/1 (=1)
>>
>>> Huh? WM is backwards?
>>
>> Actually, not. :-)
>>
> Actually, my real line is, say
> 
> ...-1...0...+1...


Seems poor. :-P

Let's fill in some unit fractions (at least 1/2). :-)

....| ... | ... | ... | ...       (real line)
   -1     0    1/2   1/1 (=1)

> So, left to right with origin at zero [...] the natural numbers, starting at zero the 
> origin of the real line:
> 
> 0, 1, 2, 3, 4, ...

Right. But ALL unit fractions are between 0 and 1 (incl.). :-)

> 0 is at origin point on my real line, the x axis so to speak. It has an 
> origin at 0. Fair enough?

Sure. Why do you ask? :-P

> Left of zero, or origin if you will, is negative, right of zero is 
> positive...

Yeah.

And between 0 and 1 (=1/1) there are the unit fractions 1/2, 1/3, ...:

0 < ... < 1/3 < 1/2 < 1/1 .

See? :-P