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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Mon, 28 Oct 2024 16:33:47 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <vfoedb$3qjq5$12@i2pn2.org>
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Am Sun, 27 Oct 2024 17:20:17 +0100 schrieb WM:
> Am 27.10.2024 um 12:38 schrieb Richard Damon:
>> On 10/27/24 3:38 AM, WM wrote:
>>> Am 26.10.2024 um 21:35 schrieb Chris M. Thomasson:
>>>> On 10/26/2024 9:04 AM, WM wrote:
>>>>> On 26.10.2024 05:21, Jim Burns wrote:
>>>>>> On 10/25/2024 3:15 PM, WM wrote:
>>>>>
>>>>>>> Mainly, among other points, the claim that all unit fractions can
>>>>>>> be defined and the claim that a Bob can disappear in lossless
>>>>>>> exchanges.
>>>>>> The proof that all unit fractions can be defined is to define them
>>>>>> as reciprocals of positive countable.to.from.0 numbers.
>>>>>> That describes all of them and only them.
>>>>> No, you falsely assume that all natnumbers can be defined.
>>>> Huh? Confusing to me. Humm... Are you trying to suggest that a
>>>> natural number can _not_ be a natural number?
>>> No. But most natnumbers cannot be defined. This can best be understood
>>> by the unit fractions.
>> So, what is the line between the DEFINED natural numbers and the "not
>> defined"?
> There is no line. The defined natural numbers are a potentially infinite
> set, i.e. it can grow without end.
Thus the set of undefined numbers shrinks to size zero like the
endsegments. 

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.