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

On 17.10.2024 20:39, Alan Mackenzie wrote:

WM <wolfgang.mueckenheim@tha.de> 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.

 All of these "rules" are so loosely and ambiguously formulated, that they
don't actually say anything at all - they are meaningless.

These rules are basic. You don't understand them. Perhaps too much at once. Start with 2n > n for every natural number. (0 is not a natnumber.) If you can't understand or don't believe, then there is no common basis for discussion.
Regards WM