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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Fri, 21 Feb 2025 18:45:30 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Fri, 21 Feb 2025 18:17:32 +0100 schrieb WM:
> On 21.02.2025 11:37, joes wrote:
>> Am Fri, 21 Feb 2025 10:39:46 +0100 schrieb WM:
>>> On 21.02.2025 02:18, Richard Damon wrote:
>>>
>>>> In order to secure the existance of "infinite" sets, we still need
>>>> the following axioms.
>>> Almost correct, but only singular: we still need the following axiom.
>>>>
>>>> There is no mention of "induction" in the statement.
>>> The following axiom is the axiom of induction. The set Z contains the
>>> empty set as an element and with every element a also the element {a}.
>> Yet not the element Z.
> Zermelo claims to secure the existence of set Z.
> This set can be handled, for instance removed from Z. A set containing Z
> is not useful in this context.
Z is not a set containing Z; Z cannot be "removed" from Z.

-- 
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.