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

On 10/20/24 3:48 AM, WM wrote:

On 20.10.2024 00:54, Jim Burns wrote:

On 10/19/2024 2:19 PM, WM wrote:

 

A doubled finite is finite.

 If all finites are doubled, then not all results can be in that set.
Either more finites appear, or the results are infinite.

>
No k exists such that
2⋅k is a finite and 2⋅k+2 > 2⋅k is not a finite.

 All doubled numbers result in larger numbers. That cannot be avoided.
 Regards, WM

But since there isn't a "largest" number, we can find that in the set.
It doesn't work for finite sets, but does for infinite sets, something that seems to blow your mind to smithereens.