Path: ...!feeds.phibee-telecom.net!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp
Message-ID: <0urLk9tzygU8hLyD_kwRho5GpbQ@jntp>
JNTP-Route: news2.nemoweb.net
JNTP-DataType: Article
Subject: Re: There is a first/smallest integer (in =?UTF-8?Q?M=C3=BCckenland=29?=
References: <v78aei$1qhrg$2@dont-email.me> <iez0JhnP5QUwPTJ47oubeE1Aq5M@jntp> <v78m28$1sk3g$1@dont-email.me>
 <7mXj2D8kEhAscu3HLTqTUKsaj18@jntp> <d9b0dacd61b979099d931df69cf76c214d690d39@i2pn2.org>
 <Eb-CQaKSaHkMpWykEcQGtifvbV0@jntp> <45c2168329b760983a8cbc9139b6decf1a1edf5b@i2pn2.org> <v79af9$20iae$1@dont-email.me>
Newsgroups: sci.math
JNTP-HashClient: 7hAOu1ZmRQ1wNF3Wo3KnLbqbUsI
JNTP-ThreadID: v78aei$1qhrg$2@dont-email.me
JNTP-Uri: http://news2.nemoweb.net/?DataID=0urLk9tzygU8hLyD_kwRho5GpbQ@jntp
User-Agent: Nemo/0.999a
JNTP-OriginServer: news2.nemoweb.net
Date: Wed, 17 Jul 24 21:17:17 +0000
Organization: Nemoweb
JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/126.0.0.0 Safari/537.36
Injection-Info: news2.nemoweb.net; posting-host="82b75c1d0a83e677ff646b52485f72f8b23749df"; logging-data="2024-07-17T21:17:17Z/8953062"; posting-account="217@news2.nemoweb.net"; mail-complaints-to="julien.arlandis@gmail.com"
JNTP-ProtocolVersion: 0.21.1
JNTP-Server: PhpNemoServer/0.94.5
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
X-JNTP-JsonNewsGateway: 0.96
From: WM <wolfgang.mueckenheim@tha.de>
Bytes: 2248
Lines: 19

Le 17/07/2024 à 22:44, Moebius a écrit :
> Am 17.07.2024 um 22:37 schrieb joes:
>> Am Wed, 17 Jul 2024 17:17:54 +0000 schrieb WM:
> 
>>> ℵo finite intervals do not fit between [0, 1] and (0, 1].
> 
>> Where do you get this requirement from?
> 
> Please tell us what "requirement" you are talking about (using 
> mathematical terminology/language/symbols).

ℵo unit fractions occupy at least ℵo points and ℵo finite intervals. 
Therefore NUF(x) cannot change from 0 to ℵo without passing an interval 
of 2^ℵo points. They must be subtracted from your claim
∀ x > 0: NUF(x) = ℵo.
Corrected
∀ x > 2^ℵo positive points: NUF(x) = ℵo.

Regards, WM