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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: Sun, 27 Oct 2024 18:01:15 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <vflv5b$3m5g9$6@i2pn2.org>
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Am Sun, 27 Oct 2024 17:18:32 +0100 schrieb WM:
> Am 27.10.2024 um 12:38 schrieb Richard Damon:
>> On 10/26/24 12:04 PM, 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.
>> But they have been.
> Impossible.
By the Peano axioms.

> Proof: If infinity is actual, then all elements of the set
> of unit fractions exist.
What does it mean for an element of a set to not exist?
-- 
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.