Path: ...!eternal-september.org!feeder2.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: Mon, 28 Oct 2024 20:55:19 +0100
Organization: A noiseless patient Spider
Lines: 25
Message-ID: <vfoq77$14lcd$5@dont-email.me>
References: <vb4rde$22fb4$2@solani.org>
 <d316baa3-de5b-4644-86ff-beacad9df107@att.net> <vfd97u$2jtos$1@dont-email.me>
 <276fc9df-619b-4a10-b414-a04a74aa7378@att.net> <vfe5d5$2olom$1@dont-email.me>
 <88e6a631-417a-4dd0-9443-a57116dcbd28@att.net> <vfg07k$1chpe$1@solani.org>
 <7a1e34df-ffee-4d30-ae8c-2af5bcb1d932@att.net> <vfgil3$38pn6$1@dont-email.me>
 <6a90a2e2-a4fa-4a8d-83e9-2e451fa8dd51@att.net> <vfgqoc$39o4h$2@dont-email.me>
 <acd4aad3-9447-45a9-bafd-f8b93d781827@att.net> <vfj3v0$1e96h$2@solani.org>
 <vflnoq$l02$1@news.muc.de> <vfloff$1fpr2$1@solani.org>
 <vflrt7$h190$3@dont-email.me> <vfnp4e$unin$3@dont-email.me>
 <vfns3o$3r5kq$4@i2pn2.org>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Mon, 28 Oct 2024 20:55:19 +0100 (CET)
Injection-Info: dont-email.me; posting-host="028c8f7ef7e0642f2efab9c9f9b9b737";
	logging-data="1201549"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX18hRBPqiejOuKWT/cZWO7usKpo578CxYO4="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:eSrN/ZEv4EdUVSt+g3u314XOgLI=
In-Reply-To: <vfns3o$3r5kq$4@i2pn2.org>
Content-Language: en-US
Bytes: 2312

On 28.10.2024 12:21, Richard Damon wrote:
> On 10/28/24 6:30 AM, WM wrote:
>> On 27.10.2024 18:05, Moebius wrote:
>>> Am 27.10.2024 um 17:07 schrieb WM:
>>>
>>>> After NUF(x') = 1
>>>
>>> There is no x' e IR such that NUF(x') = 1.
>>
>> There is NUF(0) = 0. NUF(1) > 0. Hence NUF increases. This cannot 
>> happen by more than single unitfractions with interruptions, according 
>> to mathematics:
>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 .

> It can not happen AT FINITE VALUES, but can "between" them,

Yes, at undefinable values.

> like just 
> above 0, where it jumps from 0 to Aleph_0

Not at one point, definable or not.

Regards, W;