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From: FromTheRafters
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Sun, 26 Jan 2025 14:29:08 -0500
Organization: Peripheral Visions
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References: <3a603a4009f4bdb24c23fc0851757c687e136bc8@i2pn2.org> <133ef773ac71037ba38a5d922f64822d8f0ef7a3@i2pn2.org> <06783956e11e3791285bfbee537ec1b4ae44100d@i2pn2.org> <68035b84d5259f49968914e50a8a9c0269136e3e@i2pn2.org>
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WM explained :
> On 26.01.2025 13:54, FromTheRafters wrote:
>> WM pretended :
>>> On 25.01.2025 21:12, Chris M. Thomasson wrote:
>>>> On 1/25/2025 5:59 AM, joes wrote:
>>>>> Am Sat, 25 Jan 2025 12:09:56 +0100 schrieb WM:
>>>
>>>>>> FISONs enumerate themselves. There is no infinite FISON and hence no
>>>>>> infinite number of them.
>>>>> What the FUCK that makes NO sense.
>>>>>
>>>>
>>>> WOW!
>>>
>>> {1}
>>> {2, 1}
>>> {3, 2, 1}
>>> ...
>>>
>>> Can you see that the first column is not longer than all finite rows?
>>
>> Those are not FISONs.
>
> Of course they are.
No they are not.
> The order is irrelevant within sets.
Sure, but the 'S' in FISON stands for segment, not set, and ordinals
have order and are constructed non-arbitrarily.