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

On 10/19/24 3:59 AM, WM wrote:

On 17.10.2024 21:39, FromTheRafters wrote:

Anyway, the size of these infinite sets are equal despite outpacing and asymtotic density considerations.

 The even numbers and the natural numbers have the relative sizes
 |{2, 4, 6, ..., 2n}|/|{1, 2, 3, 4, 5, 6, ..., 2n} = 1/2
 for every n. Only real fools can believe that the relative size changes to 1 for all numbers |E|/|ℕ| = 1. Cantor knew this. Therefore cardinality is not true for the complete sets but only for potentially infinite initial segments.
 Regards, WM
 

But "Relative Size" isn't a thing for infinite Cardinals like that.
Just shows that you don't understand what you are talking about, and that you concept of "infinite" is just a really big but finite number.