Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: Moebius <franz.fritsche@yahoo.de>
Newsgroups: sci.math
Subject: =?UTF-8?B?UmU6IGJlY2F1c2UgZ+KkqChn4oG7wrkoeCkpID0gZyh5KSBbMS8yXSBS?=
 =?UTF-8?Q?e=3A_how?=
Date: Tue, 30 Apr 2024 15:39:56 +0200
Organization: A noiseless patient Spider
Lines: 22
Message-ID: <v0qsbc$2fqbl$2@dont-email.me>
References: <qHqKnNhkFFpow5Tl3Eiz12-8JEI@jntp>
 <30cc41e5-e4f7-4791-a5e3-7dfd03f14eb1@att.net>
 <QyaFeykXuDMcOtzy6wFnZ1x0UnM@jntp>
 <1d4c7929-c875-4e77-9c0d-bae99e10fbfb@att.net>
 <dARR2oLaGrvSGOJi9lskefqDOsw@jntp>
 <7f0aa97c-1090-45a4-82b0-eed68e441be2@att.net>
 <IQv_eZAxvsGJHptfmbSlT2BcBeE@jntp>
 <499c4a7a-7fc7-4e4a-9b72-a7cd8affe271@att.net>
 <4SjctGVuNvO4ov6H4T20uPxnI0M@jntp>
 <fedc9927-9e3c-4a53-a918-3b396e83ad39@att.net>
 <MkswKdEtTt_fxWZdWNiIxycwnZc@jntp>
Reply-To: invalid@example.invalid
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Tue, 30 Apr 2024 15:39:57 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="5cd66c53d5091e706c4b57ce5b459d00";
	logging-data="2615669"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX19JLP+mfg2QlpJ9XlRjo4Dl"
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:n78rwWMzUlYwHGzFUHc0FI1Qc2g=
Content-Language: de-DE
In-Reply-To: <MkswKdEtTt_fxWZdWNiIxycwnZc@jntp>
Bytes: 1938

Am 30.04.2024 um 15:12 schrieb WM:

> {1, 2, 3, ..., ω}*2 

= ({1, 2, 3, ...} u {ω})*2

= {1, 2, 3, ...}*2 u {ω}*2

= {2, 4, 6, ...} u {ω*2} (where {2, 4, 6, ...} = G c IN)

> results in {2, 4, 6, ..., ω*2}

Exactly.

Then it's clear that

> ω or ω+1 is [NOT] amidst [...]

Hint: ω !e {2, 4, 6, ..., ω*2} and ω+1 !e {2, 4, 6, ..., ω*2}.

Actually, the only infinite ordinal in {2, 4, 6, ..., ω*2} is ω*2.