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

WM explained :

On 08.10.2024 01:26, FromTheRafters wrote:

It is infinite if it is not finite.

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But does it go on and on or is it fixed and completed?

Your ideas of fixed and complete do not make sense. Sets don't change, ever, and complete does not mean complete like a last object in a tea set, but like a set of numbers and operations with closure thus leaving no gaps.
This countable infinity is not built by counting all the way until done, it is simply an object, not a project which awaits completion like a tea set.