Path: ...!npeer.as286.net!npeer-ng0.as286.net!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp
Message-ID: <gLCi-GDsUAMOhKbDU9ubzvZPuAc@jntp>
JNTP-Route: news2.nemoweb.net
JNTP-DataType: Article
Subject: Re: Replacement of Cardinality
References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <-qUZ96ARwcjh9QPfyWRnijjNwoY@jntp> <6b837540-3d9a-4b8e-9a70-88d52e81a1a4@att.net>
 <xQQT0K_Q_k2FbMcCUXF8j3CEg84@jntp> <9822f5da-d61e-44ba-9d70-2850da971b42@att.net> <p36L63dXamDAkHDhkZhDKqx-h-o@jntp>
 <d8bbe664-a601-4590-9a7f-d5312b4dae54@att.net> <v8j55c$2u09m$2@dont-email.me> <w2KNEc6WpgYmvVtoH_VZTRkLnUg@jntp>
 <c7939c87f06ef7dfe1ad490a68bf3e01a5165df8@i2pn2.org>
Newsgroups: sci.math
JNTP-HashClient: Ij8I4py9ymw5rY5zcwoNIGUHOdY
JNTP-ThreadID: KFm3f7lT2HjaTSiMfnv5xqZoSBw
JNTP-Uri: http://news2.nemoweb.net/?DataID=gLCi-GDsUAMOhKbDU9ubzvZPuAc@jntp
User-Agent: Nemo/0.999a
JNTP-OriginServer: news2.nemoweb.net
Date: Sun, 04 Aug 24 15:44:45 +0000
Organization: Nemoweb
JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/127.0.0.0 Safari/537.36
Injection-Info: news2.nemoweb.net; posting-host="82b75c1d0a83e677ff646b52485f72f8b23749df"; logging-data="2024-08-04T15:44:45Z/8975328"; 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: 2278
Lines: 19

Le 03/08/2024 à 19:42, joes a écrit :
> Am Sat, 03 Aug 2024 14:25:03 +0000 schrieb WM:

>> Here is the correct definition:
>> There exist NUF(x) unit fractions u, such that for all y >= x: u < y.
>> Note that the order is ∃ u ∀ y.
> You are specifying an exact number, not only at least one.

Yes.

>> NUF(x) = ℵ₀ for all x > 0 is wrong. NUF(x) = 1 for all x > 0 already is
>> wrong since there is no unit fraction smaller than all unit fractions.
> New sig.

Any problems with this definition? The reversed quantification is nonsense 
because ℵ₀ unit fractions need ℵ₀*2^ℵ₀ points above zero.

Regards, WM