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

On 18.10.2024 03:26, Richard Damon wrote:

On 10/17/24 2:46 PM, WM wrote:

When doubling natural numbers we obtain even numbers which have not been doubled.

 Then your "Actual Infinity" wasn't actually infinte.
 As it must contain *ALL* the Natural Numbers to be that set.

Therefore the double numbers are not natural but infinite.

2n > n is always true, in finite and in infinite sets.

 In FINITE or ORDINAL systems, and there 2n will be in the same actually infinite set as n.

That is not possible if all natural numbers are doubled. The result covers the interval (0, ω*2) twice as large as the original one (0, ω).

 In Infinte Cardinal spaces (like Aleph_0 is in) 2n == n

No.
Regards, WM