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