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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Mon, 2 Dec 2024 16:29:45 -0800
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On 12/2/2024 4:00 PM, Chris M. Thomasson wrote:
> On 12/2/2024 3:59 PM, Moebius wrote:
>> Am 03.12.2024 um 00:58 schrieb Chris M. Thomasson:
>>> On 12/2/2024 3:56 PM, Moebius wrote:
>>>> Am 03.12.2024 um 00:51 schrieb Chris M. Thomasson:
>>>>> On 12/1/2024 9:50 PM, Moebius wrote:
>>>>>> Am 02.12.2024 um 00:11 schrieb Chris M. Thomasson:
>>>>>>> On 11/30/2024 3:12 AM, WM wrote:
>>>>>>
>>>>>>>> Finite initial segment[s]: F(n) = {1, 2, 3, ..., n}    (n e IN).
>>>>> [...]
>>>>>
>>>>> When WM writes:
>>>>>
>>>>> {1, 2, 3, ..., n}
>>>>>
>>>>> I think he might mean that n is somehow a largest natural number?
>>>>
>>>> Nope, he just means some n e IN.
>>>
>>> So if n = 5, the FISON is:
>>>
>>> { 1, 2, 3, 4, 5 }
>>>
>>> n = 3
>>>
>>> { 1, 2, 3 }
>>>
>>> Right?
>>
>> Right.
> 
> Thank you Moebius. :^)

So, if n = all_of_the_naturals, then

{ 1, 2, 3, ... }

Aka, there is no largest natural number and they are not limited. Aka, 
no limit?

Right?