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
Date: Mon, 6 May 2024 20:50:06 -0400
Organization: i2pn2 (i2pn.org)
Message-ID: <v1btru$9f72$1@i2pn2.org>
References: <qHqKnNhkFFpow5Tl3Eiz12-8JEI@jntp> <v0geub$2a19r$3@i2pn2.org>
 <bbeK5eCmOQ6N-LVr1uyjOk8Yyng@jntp> <v0gqsr$2a19s$4@i2pn2.org>
 <ZqDu6OJ6PIxaTyzn9byQvORrwfY@jntp> <v0jciu$2djof$1@i2pn2.org>
 <_yFJcrVH3mCQISnbXb4RkUGQ63Q@jntp> <v0rsgv$2m1ng$1@i2pn2.org>
 <GOKkyslvoYcnnXTkWY_rTK0n2O0@jntp> <v149ef$c30$2@i2pn2.org>
 <EDTik58BSryyo1wKPWE-73oPOt8@jntp>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Tue, 7 May 2024 00:50:06 -0000 (UTC)
Injection-Info: i2pn2.org;
	logging-data="310498"; mail-complaints-to="usenet@i2pn2.org";
	posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg";
User-Agent: Mozilla Thunderbird
Content-Language: en-US
In-Reply-To: <EDTik58BSryyo1wKPWE-73oPOt8@jntp>
X-Spam-Checker-Version: SpamAssassin 4.0.0
Bytes: 2411
Lines: 33

On 5/6/24 4:20 PM, WM wrote:
> Le 04/05/2024 à 05:18, Richard Damon a écrit :
>> On 5/3/24 9:21 AM, WM wrote:
> 
>>> Every findable number has ℵo successors. ==> Not all can be found.
>>> All natural numbers have no successors. ==> There are more.
>>
>> So, what is your actual definition of a "findable" number?
> 
> A number that can be put in trichotomy with its neighbours.
>>
>> How does that definition actually differ IN ITS DEFINITION from the 
>> definition of the Natural Numbers?
> 
> The set of all natural numbers consists mainly of dark numbers. All 
> numbers which can be put in trichotomy belong to a finite set
> ∀n ∈ ℕ_def: |ℕ \ {1, 2, 3, ..., n}| = ℵo
> 
> which is followed by an infinite set the numbers of whch cannot be 
> distinguished and which can only be manipulated collectively.
> 
> |ℕ \ {1, 2, 3, ...}| = 0
> 
> Regards, WM
> 
> 

Nope, and GIVEN Natural Number is followed by an infinte set of numbers 
above it, but ALL of those Natural Numbers meet your definition of 
"findable", as EVERY one of those numbers has a number before it and 
after it.

That this seems unbelievable just shows how little your comprehension 
understands how infinte sets can work.