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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Tue, 11 Feb 2025 10:46:54 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Tue, 11 Feb 2025 11:16:31 +0100 schrieb WM:
> On 11.02.2025 01:48, Jim Burns wrote:
>> On 2/10/2025 7:05 PM, Richard Damon wrote:
>>> On 2/10/25 10:02 AM, WM wrote:
>>>> On 10.02.2025 13:37, Richard Damon wrote:
>>>>> On 2/10/25 4:47 AM, WM wrote:
>> 
>>>>>> "Theorem B:
>>>>>> Every embodiment of different numbers of the first and the second
>>>>>> number class has a smallest number, a minimum."
>>>>> So, your "Set of Required FISONs" isn't a set of the first or second
>>>>> class, it is an empty set.
>>>> So it is.
>>> Which just shows that no particular FISON is needed.
>>> Doesn't mean that you can't use a set of FISONs to make the set of
>>> Natural Numbers.
>> Yes.
> Then name the first FISON that must exist according to Cantor's theorem,
> see above.
No FISON is necessary.

>> ⎛ If no FISON is required ⎜ then no FISON is possible.
> That is not necessarily so. But if a FISON or set of FISONs is possible
> and not empty, then it has a first element. Find it. Overcome the result
> of induction, i.e., infinity.
Induction does not include infinity. 

-- 
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.