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

On 10/16/2024 11:06 AM, Chris M. Thomasson wrote:

On 10/16/2024 10:55 AM, Chris M. Thomasson wrote:

On 10/16/2024 1:19 AM, WM wrote:

On 15.10.2024 22:22, Ross Finlayson wrote:
>

"countable cardinality" is so dirt-obvious
that it should go without saying,

>
And it is disproved by aa general truth: When doubling natural
numbers we obtain natural 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.

>
BARF!!!!!!!!

>
All natural numbers that have been doubled are natural numbers!

No the point is there is definitely _both_ the
"asymptotic density" AND the "countable cardinality".
That is obvious, and it is dirt-obvious, and people
who follow only one, ignorant the other, need to look
up from their nose because it's leading them.
That's foolish, it's like a foolish bot,
it's like AP on a bad day, it's like
a total idiot with an inescapable head-lock
on its own wandering off until the sidewalk ends.
We're better than that.
In some cases due food poisonings or other poisonings,
vomiting can be a good idea, even therapeutic.