Path: ...!weretis.net!feeder6.news.weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp
Message-ID: <5LBLnYAjUgXgTK4Y5LH6e8fCibw@jntp>
JNTP-Route: news2.nemoweb.net
JNTP-DataType: Article
Subject: Re: how
References: <qHqKnNhkFFpow5Tl3Eiz12-8JEI@jntp> <uvhaem$13m07$2@i2pn2.org> <Ru_AyGwfW3klmHhb6sjmxQ_4eqw@jntp>
 <uvka8l$17msm$1@i2pn2.org> <LUy8jnMOftjltS3mdpX3WN5LLNg@jntp> <uvn1hl$1arkt$1@i2pn2.org>
 <FRTfqq_z2PHTFM_G-AaKQuOXTiQ@jntp> <uvpk8m$1doq3$1@i2pn2.org> <8nAwOP_dNTnKX2uwIwDAqJz8Sxo@jntp>
 <uvs7k8$1h01f$5@i2pn2.org>
Newsgroups: sci.math
JNTP-HashClient: TGciz9H63ncL79f6RA6xGK-gMBs
JNTP-ThreadID: 4YLc1knY-8u5i_KQ0oWqy89D7aY
JNTP-Uri: http://news2.nemoweb.net/?DataID=5LBLnYAjUgXgTK4Y5LH6e8fCibw@jntp
User-Agent: Nemo/0.999a
JNTP-OriginServer: news2.nemoweb.net
Date: Fri, 19 Apr 24 15:37:02 +0000
Organization: Nemoweb
JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/123.0.0.0 Safari/537.36
Injection-Info: news2.nemoweb.net; posting-host="411700afb7b8328da2036d06eb2cf7416c98f7b6"; logging-data="2024-04-19T15:37:02Z/8822841"; 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: 2359
Lines: 22

Le 19/04/2024 à 00:42, Richard Damon a écrit :
> On 4/18/24 10:59 AM, WM wrote:

>> 
>> ω follows upon all natural numbers. There is nothing between them and ω.

> Right, and any Natural Number * 2 is a Natural Number, so less than ω.

If all elements of the set {1, 2, 3, ...} are doubled and nevertheless 
remain below ω, then you have created new natural numbers which have not 
been doubled. Hence you have not doubled all natural numbers. But that is 
what has to be done and, according to actual infinity, can be done.
> 
> Your logic can't handle the fact that the set of Natural  Numbers is 
> unbounded on the high side, so it doesn't understand that.

Your logic can't double all natural numbers such that none below ω is 
missing. You create always new natural numbers. They have  not been 
doubled.

Regards, WM