Re: The set of necessary FISONs

On 2/23/25 5:08 AM, WM wrote:

On 22.02.2025 19:46, joes wrote:

Am Sat, 22 Feb 2025 19:32:16 +0100 schrieb WM:

 

All FISONs have an actually infinite set of dark numbers as successors:
∀n ∈ U(F): |ℕ \ {1, 2, 3, ..., n}| = ℵo. This set differs for every
FISON but is not less than ℵo for any FISON.

So why is the union of inf. many FISONs finite?

 There are only (potentially in-) finitely many FISONs. Therefore their union is (potentially in-) finite too.
 Regards, WM
 

Nope, there *ARE* an infinite number of FISONs.
To claim otherwise i to prove your stupidity.
Your problem is you just don't understand what the infinite is, because your Naive logic can't handle it, and it blew up and took out your brain when you tried to make it work on that.
You accept the definitions from Zermelo, and thus what infinity is, but then you ignore it because it doesn't make sense TO YOU. Thus you LIE and show your stupidity,
You throw around the term potential infinity as if it was some magic concept, and that the modifier makes it not actually infinite. That unforntunately (for you) isn't its meaning.
Those that correctly use the term do consider "potentially infinite" sets to be infinite in size, the "potential" part of the name comes from the fact that we look at those sets as the limit of a series of actually finite sets where we keep on growing the set and it is only in the final limit that it is infinite.
Of course, having to use reason is beyond you, so you just misunderstand the term.