Re: The set of necessary FISONs

Am Thu, 30 Jan 2025 22:57:52 +0100 schrieb WM:

On 30.01.2025 21:58, joes wrote:

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

On 30.01.2025 11:41, 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.

There are all natural numbers before ω. Afterwards follows ω or
something else between them and ω.

No natural number is immediately before ω, because a natural number
follows.

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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.