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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: =?UTF-8?Q?Re=3A_There_is_a_first/smallest_integer_=28in_M=C3=BCcken?=
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Date: Thu, 18 Jul 2024 17:38:12 +0200
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Am 18.07.2024 um 15:20 schrieb WM:
> Le 18/07/2024 à 00:08, Moebius a écrit :
>> Am 17.07.2024 um 23:17 schrieb WM:
> 
>> Es gilt also für alle x e IR, x > 0: |(0, x)| = 2^ℵo.
> 
> Nein.

Ja, doch.

Hast Du das nicht gewusst? Jedes noch so kleine reelle Intervall (das 
nicht zu einem Punkt ausgeartet ist), hat die Mächtigkeit von ganz IR, 
also 2^ℵo. Das hat schon Cantor bewiesen.