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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Fri, 4 Oct 2024 07:03:55 -0400
Organization: i2pn2 (i2pn.org)
Message-ID: <a0df2bc7b54ab5d8d98ce1e97d372dd5d20689e7@i2pn2.org>
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On 10/4/24 5:27 AM, WM wrote:
> On 04.10.2024 03:23, Richard Damon wrote:
>> On 10/3/24 2:25 PM, WM wrote:
> 
>>> You distinguish two unit fractions 1/n and 1/m if you place a point 
>>> in distance d from 0 between them: 1/n < d < 1/m.
>>> That means you cannot distinguish ℵ₀ smaller unit fractions.
> 
>> Sure we can, we just can't find any that have less than Aleph_0 
>> numbers below them since those numbers don't exist.
> 
> They do. 0 has no unit fraction below it. If the next unit fraction has 
> unit fractions below it, then it is not the next. It has ℵ₀ smaller unit 
> fractions below it which cannot be distinguished.
> 
> Regards, WM
> 

But there is not "next" unit fraction above zero, a concept that you 
don't seem to be able to understaend.

I guess you are just lioke the flat earthers that think there litterally 
could be "four corners" to the sphere of the world.

Sorry, your brain is just exposed as being totally exploded by the 
contradictions of your using finite logic on an infinite set that it 
doesn't support.

Your problem is you can't HAVE the set of Natural Numbers (or rational 
or reals) because your logic can't use them, and you destoryed what was 
left of your logic system by breaking it on a task too big for it,

Sorry, that is the facts, even if you refuse to believe them. Your 
trying to refute them just shows you to be an ignorant liar.