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On 7/15/2024 6:57 PM, Moebius wrote:What about a special real line with unit fraction granularity, and signs?Am 16.07.2024 um 03:49 schrieb Chris M. Thomasson:I see that you increased the granularity from natural numbers into the unit fractions...On 7/15/2024 6:47 PM, Moebius wrote:>Am 16.07.2024 um 03:32 schrieb Chris M. Thomasson:Actually, my real line is, say
>going left to right, so to speak, [...]>
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1/1, 1/2, 1/3, 1/4, ...
Nope, here you are going "from right to left" (on the real line).
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You see, 1/1 is larger than, say, 1/2, hence on "the real line" 1/1 is RIGHT from 1/2. No?
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Hint:
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... | ... | ... | ... (real line)
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0 1/2 1/1 (=1)
>Huh? WM is backwards?>
Actually, not. :-)
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...-1...0...+1...
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Seems poor. :-P
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Let's fill in some unit fractions (at least 1/2). :-)
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...| ... | ... | ... | ... (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:>
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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.
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And between 0 and 1 (=1/1) there are the unit fractions 1/2, 1/3, ...:
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0 < ... < 1/3 < 1/2 < 1/1 .
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See? :-P
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Wrt enumeration unit fractions I like to go from 1/1, to 1/2, to 1/3, ect... Is that wrong? There is no way to go the other way because then we have to think of a a smallest unit fraction, WM world, right?
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