Re: The set of necessary FISONs

Am Thu, 30 Jan 2025 20:15:16 +0100 schrieb WM:

On 30.01.2025 11:41, FromTheRafters wrote:

WM formulated the question :

On 29.01.2025 15:04, FromTheRafters wrote:

WM explained on 1/29/2025 :

On 29.01.2025 10:38, FromTheRafters wrote:
>

Omega has no immediate predecessor.

What is immediately before ω?

Nothing, it is the initial member of the transfinite ordinals. just
as zero is the initial member of the finite ordinals.

There is something before zero.

Not in the ordinals, which is what you say the context is this time.

Not in the known ordinals. But if anything else, then name it, and how
many of these are there.

There is nothing before ω.

And how long is the distance from ω to a natnumber?

This makes no sense.

It is research.

Is there a 'distance' metric in the ordinals?
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AI Overview
No, there is no inherent "distance" metric in ordinal numbers

Wrong. The ordinals 7 and 27 have the distance 27 - 7 = 20.

Ah, you mean the difference. That can not be defined without
contradictions, because k + ω = ω.

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Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.