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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Mon, 3 Mar 2025 22:56:46 +0100
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On 03.03.2025 20:26, Jim Burns wrote:
> On 3/3/2025 3:57 AM, WM wrote:
> Zermelo's ℕ and Cantor's ℕ are the same
> up to isomorphism.

No. Zermelo uses induction which never goes beyond a finite number of 
finite numbers.
Cantor claims a number of finite numbers which is larger than all finite 
numbers.
But that is not the topic. The topic is this: In exactly the same way as 
Z₀ is constructed by its elements, the set of removable FISONs is 
constructed by its elements, namely by induction.
Do you agree?

Regards, WM