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

On 16.10.2024 13:54, Richard Damon wrote:

On 10/16/24 4:30 AM, WM wrote:

There is a general rule not open to further discussion:
When doubling natural numbers we obtain even numbers which have not been doubled.
In potential infinity we obtain more even natural numbers than have been doubled.
In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ.
>

But that isn't actually a general rule,

It is a general rule that doubling creates larger numbers.

NO natural number when doubled results in a value that wasn't a natural number all the time.

That may be, but then not all natural numbers have been doubled. There are larger natnumbers available.
Regards, WM
Regards, WM