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

On 9/30/2024 3:50 AM, FromTheRafters wrote:

on 9/29/2024, Chris M. Thomasson supposed :

On 9/29/2024 3:29 PM, FromTheRafters wrote:

WM explained on 9/29/2024 :

On 28.09.2024 00:08, FromTheRafters wrote:
 > WM presented the following explanation :
>
 >> Between two unit fractions there is always a finite gap.
 >
 > How big?
>
In terms of set theory: uncountably many points.

>
How wide are these points?

>
;^D Well, a point is more like a location in an n-ary plane. They don't necessarily have a radius.

 I asked him how big his finite gaps were, and he said uncountably many points. Does a number of dimensionless points make for a distance?

Well, a point in an n-ary space has a location.
Hummm... How about:
p0 = (-1, 0, 1)
p1 = (.3, -1, 2)
Each point is simply a location in the plane, 3-ary here. The distance between them is non-zero because p0 does not equal p1.