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

On 10/12/24 2:55 PM, WM wrote:

On 12.10.2024 20:26, Tom Bola wrote:
 

But the doubles are larger. Hence after doubling the set has a smaller
density

>
Not with the (always) Dedekind-infinite sets

 2n > n. That holds for all finite numbers. It halves the density.
 Regards, WM
 

And half of infinity is infinity.
Or, if we get to infinity over infinity (number over length) we get a number that isn't defined, as the Natural Numbers are not a "dense" set.
The Rationals and the Reals are "dense" so even at half that density, they would still be "dense".