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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: how
Date: Mon, 10 Jun 2024 22:14:58 +0200
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Am 10.06.2024 um 19:50 schrieb WM:

> define natural numbers with [...] no undefinable successors.

/0/ is the smallest natural number with no undefinable successors (after 
all, _all_ of its ℵo "successors" are "definable", since all natural 
numbers are "definable").

> Such numbers exist 

Ja, Mückenheim, das wissen wir. Die kleinste natürliche Zahl ist z. B. 
so eine Zahl, duh!

> because ℕ \ {1, 2, 3, ...} does not leave successors.

Nein, das ist nicht der Grund.

Hinweis: {1} \ {1, 2, 3} or {1} \ {1, 2, 3, ...} "does not leave 
successors" either. Andererseits gilt für JEDE Menge M, dass M\M die 
leere Menge ist, und damit wohl auch keine successors leaven kann (da 
sie M\M gar keine Elemente enthält).

Du bist einfach zu dumm für Mathematik, Mücke.