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From: Moebius <moebius@example.invalid>
Newsgroups: sci.math
Subject: Re: how can a person be so dumb?
Date: Mon, 22 Apr 2024 17:51:53 +0200
Organization: A noiseless patient Spider
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Am 22.04.2024 um 17:14 schrieb WM:

> there is an [...] ordinal ω-1.

Wenn Du mit "ω-1" den unmittelbaren Vorgänger von ω meinst, also die 
Ordinalzahl x für die gilt x + 1 = ω, dann muss man sagen, dass es so 
eine Zahl (in der Mathematik, also außerhalb Deines Wahnsystems) nicht 
gibt. Mit anderen Worten: ~Ex e ORD: x + 1 = ω.

Warum nicht? Weil x einerseits keine _endliche_ Ordinalzahl (also 
natürliche) Zahl sein kann, denn für alle n e IN gilt: n + 1 e IN (und 
daher, gegen ω !e IN, n + 1 =/= ω) und andererseits auch keine 
_unendliche_ Ordinalzahl, da ω die KLEINSTE unendliche Ordinalzahl ist 
(und daher für jedes x e ORD_unendlich x + 1 > x >= ω ist, also 
insbesondere x + 1 =/= ω gilt).

 > > Hence there is [especially] no finite ordinal "directly before ω"

since there is _no_ ordinal "directly before ω", Du dummer Spinner.

 > You have never heard of it.

Indeed!

 > That does not make or even prove it not existent.

No, THAT "does not [...] prove it not existent", BUT the proof stated 
above DOES.

Und jetzt geh scheißen, Mückenheim!