Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.mathDate : 28. Sep 2024, 14:09:01
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <7950d7a6c6de71890e59ee48ce7a06b0898f2cbd@i2pn2.org>
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User-Agent : Mozilla Thunderbird
On 9/27/24 3:02 PM, WM wrote:
On 25.09.2024 19:22, Richard Damon wrote:
On 9/25/24 11:14 AM, WM wrote:
NUF increases. At no point it can increase by more than 1.
>
Why not?
Because there is a finite gap between two unit fractions.
Regards, WM
Yes, but there is no "first" point, nor "adjacent" points, so the concept of "increase at a point" is meaningless.
It has an increase BETWEEN two points, and that is based on the number of unit fractions in that interval.
Between 0 and ANY finte unit fraction, is an infinte number of unit fractions, so NUF(x) increases infintely.
You just don't understand how numbers work when they are parts of infinite sets, as you mind can't handle the concept.