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

On 9/9/24 3:07 PM, WM wrote:

On 09.09.2024 17:51, joes wrote:

Am Mon, 09 Sep 2024 17:26:12 +0200 schrieb WM:

On 09.09.2024 17:14, joes wrote:

 

If ℵo points are there, then one is on the left-hand side.

Why should that be so?

 This is so because every sequence of points on the positive real axis has either one smallest point or more than one. In any case it has a beginning because real points of a sequence do not appear after an opaque cloud.
 Regards, WM
 

But that rule only holds for FINITE sequences.
Infinite sequences might have NO smallest points.
It isn't an "opaque cloud" that stops them from having a smallest, but a infinite accumulation of values at that bound (that is outside the set).
If that is a cloud that you can't see and say is an opaque cloud, then the issue is YOU, not the numbers. They all exist, and have the property, even if it seems impossible to you.
Just like people on the other side of the world think we are "below" them while we might think they are "below" us.