Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)

Am 17.01.2025 um 17:53 schrieb Jim Burns:

On 1/17/2025 4:08 AM, WM wrote:

On 16.01.2025 23:22, Jim Burns wrote:

 

Nowhere,
among what appears and
among what doesn't appear,
is there finite ω-1 and infinite (ω-1)+1

>
So it appears because ω and ω-1 are dark.

 We never see ω and ω-1
We see descriptions of ω and ω-1
That is sufficient for knowledge of ω and ω-1

Dark numbers cannot be seen, if you understand by that phrase be put in a FISON.

 You (WM) introduce
negative cardinality (darkᵂᴹ numbers)
in an attempt to fit these claims together.

No, I don't.

Matheologians don't use anything so fancy,

Euler was not a matheologian. https://math.ucr.edu/home/baez/counting/

 

But it appears infinite like all sets which cannot be counted by FISONs.

 "cannot be counted by FISONs"
and
"larger.than.any.finite"
sound similar.
 However, matheologians don't have darkᵂᴹ sets
allegedly capable of backing a larger.than.any.finite set
down to a not.larger.than.any.finite set,
by _inserting_ elements.
 That is why you (WM) think we're crazy or stupid,
negative cardinality.

Dark sets result from actual infinity and is neither finite nor negative.
Regards, WM