Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
Date: Tue, 08 Oct 2024 06:44:43 -0400
Organization: Peripheral Visions
Lines: 14
Message-ID: <ve32f0$25jrf$1@dont-email.me>
References: <vb4rde$22fb4$2@solani.org> <vdrgka$sn2$3@news.muc.de> <vds38v$1ih6$6@solani.org> <vdscnj$235p$1@news.muc.de> <RJKcnSeCMNokRpz6nZ2dnZfqnPadnZ2d@giganews.com> <vdto2k$1jte$1@news.muc.de> <vdu4mt$18h8h$1@dont-email.me> <vdu874$271t$2@news.muc.de> <vdua6f$18vqi$2@dont-email.me> <05a3027798506434bf2f30b527e0f57d300e76c3@i2pn2.org> <ve0570$1kqpu$2@dont-email.me> <6f188d193341a3862f4c788a44dff3dfb27fb6bd@i2pn2.org> <81f6f0271a53803c0bf79be304ce2484e33aecda@i2pn2.org> <ve0hip$1eu7$1@news.muc.de> <7403c9bb7e2d0ac17197c219c6a04eace8fef108@i2pn2.org> <ve1qn7$1sune$1@dont-email.me> <ve30a7$24i4i$5@dont-email.me>
Reply-To: erratic.howard@gmail.com
MIME-Version: 1.0
Content-Type: text/plain; charset="iso-8859-15"; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Tue, 08 Oct 2024 12:44:48 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="183e3fa38b53451b283b297c8ebb227e";
	logging-data="2281327"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX193eOHbIKFkA0c9clRmPvWrOJGaKhp3dtA="
Cancel-Lock: sha1:0snx3t5bWkZNjNBt3EhEZHSxHm4=
X-ICQ: 1701145376
X-Newsreader: MesNews/1.08.06.00-gb
Bytes: 2160

WM explained :
> On 08.10.2024 01:26, FromTheRafters wrote:
>> It is infinite if it is not finite.
>
> But does it go on and on or is it fixed and completed?

Your ideas of fixed and complete do not make sense. Sets don't change, 
ever, and complete does not mean complete like a last object in a tea 
set, but like a set of numbers and operations with closure thus leaving 
no gaps.

This countable infinity is not built by counting all the way until 
done, it is simply an object, not a project which awaits completion 
like a tea set.