Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Sat, 2 Nov 2024 20:38:33 -0700
Organization: A noiseless patient Spider
Lines: 34
Message-ID: <vg6r7q$6v0d$1@dont-email.me>
References: <vb4rde$22fb4$2@solani.org>
 <acd4aad3-9447-45a9-bafd-f8b93d781827@att.net> <vfj3v0$1e96h$2@solani.org>
 <vfjg9h$3rjvp$2@dont-email.me> <vfkqlr$3fii$1@solani.org>
 <vfl8o7$3mnmt$4@i2pn2.org> <vflfq9$f82l$1@dont-email.me>
 <vflovl$1fpr2$3@solani.org> <vfm2m5$iasq$1@dont-email.me>
 <vfnmo3$ui6v$1@dont-email.me> <vfo5rf$1178s$1@dont-email.me>
 <vfoqqr$14lcc$2@dont-email.me> <vfotg8$15r9a$1@dont-email.me>
 <0e5fb47d-60f7-42bb-beec-4a9661c807da@tha.de> <vfqbrm$1gqu7$1@dont-email.me>
 <vft6n5$246cp$5@dont-email.me>
 <e783e5379005b0b94ca21ec2bb85e3006d12ab9e@i2pn2.org>
 <vg0enf$2pl1j$1@dont-email.me>
 <244b3e8e460c67e32d8b4d57670e4f881c1ac716@i2pn2.org>
 <vg298t$36ojq$1@dont-email.me>
 <a978a808b49b29e8b32c04c2f6879eba3e0b81b1@i2pn2.org>
 <vg4uie$3nd3l$3@dont-email.me>
 <5218d7eda7d1b315aa52044986a171b9172cb856@i2pn2.org>
 <vg5p53$3s1gf$5@dont-email.me>
 <35349130b2ee846cfa7c4fd07576c47be58bae3a@i2pn2.org>
 <vg6632$3v6en$2@dont-email.me>
 <488abfa68c5ce1c17697b463db2176396e26a99e@i2pn2.org>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Sun, 03 Nov 2024 04:38:54 +0100 (CET)
Injection-Info: dont-email.me; posting-host="57a3b663a8bb8d62220034d8bdd51a24";
	logging-data="228365"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1+lzuMYr0ol2KfY8mxgGbPvVoVh42SpLO8="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:N154D5cDvu47YzJSNSFrgQaaXVo=
Content-Language: en-US
In-Reply-To: <488abfa68c5ce1c17697b463db2176396e26a99e@i2pn2.org>
Bytes: 3276

On 11/2/2024 5:17 PM, Richard Damon wrote:
> On 11/2/24 5:37 PM, WM wrote:
>> On 02.11.2024 21:30, Richard Damon wrote:
>>> On 11/2/24 1:56 PM, WM wrote:
>>>> On 02.11.2024 17:02, Richard Damon wrote:
>>>>> On 11/2/24 6:23 AM, WM wrote:
>>>>
>>>>>> If NUF(x) has grown to ℵ₀ at x₀, then ℵ₀ unit fractions must be 
>>>>>> between 0 and x₀. Hence at least ℵ₀ points with ℵ₀ intervals of 
>>>>>> uncountably many points must be between 0 and x₀. That cannot 
>>>>>> happen at x₀ = 0.
>>>>>
>>>>> Right, NUF(x)is 0 at x - 0, and Aleph_0 at any x > 0, since as you 
>>>>> said, for any positive finite x, there are Aleph_0 unit fractions 
>>>>> below it.
>>>>
>>>> No, neither did I say so nor is it correct. Only for x > x₀ are ℵ₀ 
>>>> smaller unit fractions existing.
>>
>>> So, for what finite number x > 0 is there less than that?
>>
>> Those numbers are dark.
> 
> But how are they even a number.
> 
> You are just trying to assign "black magic" to you dark numbers to blaim 
> them for the things your logic can't handle.

Gotta believe WM is magic?

https://youtu.be/sl5bqHP0-KA?t=15

lol.
[...]