Re: Replacement of Cardinality (infinite middle)

Am 11.08.2024 um 21:29 schrieb Chris M. Thomasson:

On 8/11/2024 9:10 AM, Moebius wrote:

Am 11.08.2024 um 06:20 schrieb Chris M. Thomasson:

On 8/10/2024 6:19 PM, Moebius wrote:

Am 11.08.2024 um 02:55 schrieb Chris M. Thomasson:

On 8/10/2024 4:05 PM, Moebius wrote:

>

I guess, JB would say: "If we don't consider omega, we don't consider omega." :-P

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For some reason I am thinking of salad here...? ;^)

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You won't agree? :-)

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I can see a line, comprised of two n-ary points. They have a p0 and a p1, yet there is an infinity between then. [etc. etc.]

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And where do you see omega on that line? (Very ... VERY ... far away?)
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https://www.youtube.com/watch?v=jvQ6dasK614

 I guess its basically "out of scope" in a sense?

Yeah, but "just not there" might be more appropriate.
You see: "If we don't consider omega, we don't consider omega."
Let me try to explain. If we consider the interval [0, 1] of real numbers:
|-----------------|
0                 1
then 2 is not on this line segment: it's just not there. :-)
But the case with omega is worse:
It's not on the real line at all. omega !e IR.
On the other hand we *may* extend the "real number line".
See: https://en.wikipedia.org/wiki/Extended_real_number_line