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

On 19.10.2024 19:32, Alan Mackenzie wrote:

WM <wolfgang.mueckenheim@tha.de> wrote:

 

When multiplying all natural numbers by 2, then the number of numbers
remains the same but the density is reduced and therefore the interval
is doubled.

>
That's not mathematics.

 It is mathematics.
 

It's merely your intuition, derived from finite
sets and misapplied to infinite sets.

 It is the basic mathematics of natural numbers: 2n > n.
If you believe in a different version of mathematics, try to find people who are interested in that version. I am not.
 

In mathematics, there is no meaningful distinction between what you think
of as two different forms of infinity.

 You have not the faintest idea of infinity.
 Regards, WM