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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Tue, 28 Jan 2025 10:54:08 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Tue, 28 Jan 2025 10:53:04 +0100 schrieb WM:
> On 28.01.2025 10:29, FromTheRafters wrote:
>> WM wrote on 1/28/2025 :
>>> On 27.01.2025 16:23, FromTheRafters wrote:
>>>> WM wrote :
>>>>> On 27.01.2025 15:14, joes wrote:
>>>>>> Am Mon, 27 Jan 2025 12:35:56 +0100 schrieb WM:
>>>>>>> On 26.01.2025 23:31, Richard Damon wrote:
>>>>>>
>>>>>>>> you can't show that the first FISON isn't a member of the set of
>>>>>>>> necessary FISONs without assuming the set of necessary FISONs
>>>>>>>> exists.
>>>>>>>
>>>>>>> Logic? The set ℕ exists. And I can show that every FISON is
>>>>>>> neither necessary nor sufficient to accomplish that aim.
>>>>>> Obviously, but not for infinite sets of FISONs.
>>>>>
>>>>> Also an infinite set needs a first element.
>>>>
>>>> The real numbers are an infinite set, which one is first?
>>>
>>> Here we talk about FISONs.
>> 
>> You said 'an infinite set needs a first element' and FISONs are not
>> infinite sets.
> 
> An infinite set of FISONs that has the union ℕ needs a first element.

Where’s the problem? Every set of FISONs has a first element.

-- 
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.