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

On 10/7/2024 8:19 AM, joes wrote:

Am Mon, 07 Oct 2024 11:51:43 +0200 schrieb WM:

On 07.10.2024 11:36, FromTheRafters wrote:

WM formulated the question :

On 06.10.2024 19:03, FromTheRafters wrote:

A set is a collection of well-defined objects, meaning we must be
able to determine if an element belongs to a particulr set.

>
But you can't determine the smallest unit fraction although it is a
singleton set, a point on the real axis.

There is no smallest unit fraction.

If there are only fixed points, then there is a point such that between
it and zero there is no further point.

How do you imagine that? It has a finite distance from 0.
 

They (unit fractions) get infinitely close to zero, but never equal it...
The distance from 1 to 0 is finite. However, the unit fractions can try to "fill" it with a certain granularity, getting closer and closer to zero. It's rather coarse when compared to the reals... ;^)
It seems that WM confuses the unit fractions with the reals as if he thinks there is a smallest unit fraction that equals zero. There is a real that equals zero, namely, well, zero. However, there is no unit fraction that equals zero, so WM's head explodes... Fwiw, here is a video of WM trying to understand infinity:
(Big Trouble in Little China - Thunder blows himself up)
https://youtu.be/A_MnyV-HH3U
WOW!!!