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

On 03.11.2024 22:21, Richard Damon wrote:

On 11/3/24 9:09 AM, WM wrote:

On 03.11.2024 13:13, Richard Damon wrote:
>

I *CAN* prove for every x in (0, 1], which is what I claimed.
>

You cannot prove that ℵo unit fractions occupy at least ℵo points?

 Since there are Aleph_0 rational points in ANY finite length of the number line

But not for every point x > 0. ℵo unit fractions occupy at least ℵo*2^ℵo points, hence more than ℵo points. Your assertion is true only for every point that you can define. But you cannot define points between the first ℵo unit fractions.
Regards, WM