Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail
From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Wed, 25 Sep 2024 07:54:27 -0400
Organization: i2pn2 (i2pn.org)
Message-ID: <668655e01c651cc1b1a14d95b51bcd15443494cd@i2pn2.org>
References: <vb4rde$22fb4$2@solani.org> <vbv9i7$bpjh$2@dont-email.me>
 <13c08e96ad635f8142b38d89863a80caf17a32a8@i2pn2.org>
 <vc1mfe$u3ec$2@dont-email.me>
 <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org>
 <vc1uu8$u3ec$9@dont-email.me> <vc2gfb$130uk$1@dont-email.me>
 <vc44uu$1gc40$1@dont-email.me>
 <c94d6140f000f75c5e95e1acc785ebff9894a18b@i2pn2.org>
 <vc58cf$1o4dp$3@dont-email.me> <87jzfchnxc.fsf@bsb.me.uk>
 <vc7d61$2b1ga$1@dont-email.me>
 <4b617ec8573746a45483060acdd082653f14fda5@i2pn2.org>
 <vcehvl$2bop$1@dont-email.me> <vcfa23$67rd$3@dont-email.me>
 <vcfecj$6tlb$1@dont-email.me> <vch6v4$ip4a$1@dont-email.me>
 <vcht5k$mane$3@dont-email.me> <vci45p$n9ue$1@dont-email.me>
 <vckf64$1709n$5@dont-email.me>
 <c35b04a7d6ec19c5db1f9c5aba592f2614e09c9d@i2pn2.org>
 <890ae313-aa9b-4f49-a53a-2374c9957f01@tha.de>
 <2555906859e8d5836476a38f4fc437a67872f331@i2pn2.org>
 <vcp626$278um$5@dont-email.me>
 <534e5cd6b7a01203c28113337f108c745e57c6ae@i2pn2.org>
 <vcv4fa$3a5lv$10@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Wed, 25 Sep 2024 11:54:27 -0000 (UTC)
Injection-Info: i2pn2.org;
	logging-data="3420036"; mail-complaints-to="usenet@i2pn2.org";
	posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg";
User-Agent: Mozilla Thunderbird
Content-Language: en-US
X-Spam-Checker-Version: SpamAssassin 4.0.0
In-Reply-To: <vcv4fa$3a5lv$10@dont-email.me>
Bytes: 2382
Lines: 15

On 9/24/24 3:38 PM, WM wrote:
> On 24.09.2024 10:00, joes wrote:
>> Am Sun, 22 Sep 2024 15:28:38 +0200 schrieb WM:
> 
>>> Really existing sets of real unit fractions have two ends.
>> What is „an end”?
> 
> An end is where nothing follows.
> 
> Regards, WM
> 

And thus the lower end of the numbers x > 0 would be 0, a value not in 
the set, as the set doesn't have a lower end in it.

That is why there is no smallest positive real or unit fraction.