Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Wed, 16 Oct 2024 18:58:19 +0200
Organization: A noiseless patient Spider
Lines: 28
Message-ID: <veorbb$2asus$2@dont-email.me>
References: <vb4rde$22fb4$2@solani.org> <ve117p$vob$1@news.muc.de>
 <ve315q$24f8f$3@dont-email.me> <ve46vu$324$2@news.muc.de>
 <ve5u2i$2jobg$4@dont-email.me> <ve6329$19d5$1@news.muc.de>
 <ve64kl$2m0nm$4@dont-email.me> <ve66f3$19d5$2@news.muc.de>
 <ve683o$6c2o$1@solani.org> <ve6a23$19d5$3@news.muc.de>
 <ve6c3b$6esq$2@solani.org> <ve6kl1$207d$1@news.muc.de>
 <ve96jj$38qui$2@dont-email.me> <ve97c7$2f64$1@news.muc.de>
 <ve97qj$38qui$4@dont-email.me>
 <3f5fcf13171337f1c3d2ef84cc149be327648451@i2pn2.org>
 <veecr3$7rap$1@dont-email.me>
 <97b84c07aa526903a0788584f7f7ae9121f8b81f@i2pn2.org>
 <veirkn$desj$2@solani.org>
 <db221d267ae4b956cd0818c9b5ccc0311df97d1e@i2pn2.org>
 <60f1280e-e226-4314-8eca-da5410be8ca3@tha.de>
 <96a7aa944085e76faed69c8db9a8dca599e1a159@i2pn2.org>
 <vejhcb$ditg$1@solani.org> <vek5s2$1c3q2$2@dont-email.me>
 <ventji$255vi$3@dont-email.me>
 <ea59043e8e605277407d08904c020698a029fe0f@i2pn2.org>
 <7d314712-c5b5-4dfc-af61-3885ccf1c771@tha.de> <veoog6$2ahgl$1@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Wed, 16 Oct 2024 18:58:19 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="bdae612cd8a81ed65298b962abfb789c";
	logging-data="2454492"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX19XFncQxprtlh+n8UpgHH1O9P8FY5IzWUk="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:9NeuhEW48SQ4o9mvLbauQPra/OI=
Content-Language: en-US
In-Reply-To: <veoog6$2ahgl$1@dont-email.me>
Bytes: 2893

On 16.10.2024 18:09, FromTheRafters wrote:
> WM formulated on Wednesday :
>> On 16.10.2024 13:54, Richard Damon wrote:
>>> On 10/16/24 4:30 AM, WM wrote:
>>
>>>> There is a general rule not open to further discussion:
>>>> When doubling natural numbers we obtain even numbers which have not 
>>>> been doubled.
>>>> In potential infinity we obtain more even numbers than have 
>>>> been doubled.
>>>> In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ.
>>>>
>>> But that isn't actually a general rule,
>>
>> It is a general rule that doubling creates larger numbers.
> 
> It is a general rule that doubling finite cardinal numbers creates 
> larger finite cardinal numbers.

Yes.

> In transfinite cardinalities Aleph_Zero 
> times two is still Aleph_zero though.

Here we talk only about natural numbers to be doubled.

Regards, WM