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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Sat, 1 Mar 2025 13:26:09 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Sat, 01 Mar 2025 12:58:28 +0100 schrieb WM:
> On 28.02.2025 18:25, joes wrote:
>> Am Fri, 28 Feb 2025 18:04:33 +0100 schrieb WM:
> 
>> Zermelo doesn't say that Z is in Z.
> But he says that the infinite Z exists because of his induction.
> 
>>> Therefore we use FISONs without approaching ℕ.
>> They do reach N in the limit.
> No. ∀n ∈ ℕ_def: |ℕ \ {1, 2, 3, ..., n}| = ℵo. Note for all! The limit
> cannot exist without bridging this infinite gap.
Taking a limit "bridges the gap".

-- 
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.