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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Fri, 17 Jan 2025 20:40:16 +0100
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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
> 
>