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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Fri, 25 Oct 2024 21:15:23 +0200
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On 25.10.2024 21:05, Jim Burns wrote:
> On 10/25/2024 12:57 PM, WM wrote:

>>> A better question is:
>>> why do you (WM) support it?
>>
>> I support it in order to show that
>> your infinity is inconsistent.
> 
> My infinity? You mean
> γ ∈ ⟦0,ω⦆  ⇔  ∀β ∈ ⦅0,γ⟧: ∃α: α+1=β
> ?

Mainly, among other points, the claim that all unit fractions can be 
defined and he claim that a Bob ca disappear in lossless exchanges.

>> Almost all unit fractions
>> cannot be discerned by definable real numbers.
> 
> All unit fractions are reciprocals of
> positive countable.to.from.0 numbers.

That does not change the facts.
> 
>> If they are existing,
>> they are indiscernible, i.e. dark.
> 
> If it is existing,
> it is a reciprocal of
> a positive countable.to.from.0 number.

Most of them are indiscernible too.
> 
> I haven't found a reason to discern.

Don't you claim that every unit fraction can be discerned, i.e. 
separated from the smaller ones by a real number?

Regards, WM