Re: How many different unit fractions are lessorequal than all unit fractions?

Am 10.09.2024 um 22:33 schrieb Chris M. Thomasson:

On 9/10/2024 12:30 PM, Moebius wrote:

Am 10.09.2024 um 20:38 schrieb Chris M. Thomasson:

On 9/10/2024 11:35 AM, Chris M. Thomasson wrote:

On 9/9/2024 5:32 PM, Moebius wrote:

Am 10.09.2024 um 01:08 schrieb Chris M. Thomasson:
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Take the gap between:
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1/1 and 1/2. There are infinitely many unit fractions that are small enough to fit within that gap.

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Oh, really?! Could you name (just) o n e? :-)

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1/4?

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1/4 is between 1/1 and 1/2:
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1/1---->1/4---->1/2

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lol. If you say so. :-)
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So, it's not _strict_

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Actually, it's not between 1/2 and 1/1 at all (if we presuppose the usual order < on the rational numbers).

 The LENGTH OF THE gap from 1/1 to 1/2 is 1/2 so there are infinity many unit fractions that are smaller than 1/2.

MAN, YOUR ORIGINAL CLAIM WAS: "1/4 is between 1/1 and 1/2."
THIS CLAIM IS WRONG. (WRONG! WORONG!)
FUCK YOUR "GAP".
Please don't do the Mückenheim her. One crank is enough.