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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Mon, 16 Dec 2024 12:14:50 +0100
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On 16.12.2024 11:08, Mikko wrote:
> On 2024-12-15 11:03:27 +0000, WM said:
> 

>>>>>> Of course. It consist of all finite n. It is the union of all 
>>>>>> intervals (0, n]. Not more!
>>>>
>>>>> But the set of Natural Numbers isn't built that way.
>>>>
>>>> You are misinformed. The set of natural numbers is the union of all 
>>>> FISONs F(n) = {1, 2, 3, ..., n} = (0, n].
>>>>
>>> From where did this concept come from?
>>
>> The set of FISONs is the set of natural numbers designed by v. Neumann.
> 
> The construction of natural numbers as sets was presented by Cantor
> (apparently as a comment to Kronecker's "God made the integers, all
> else is the work of man").

Yes, see 
https://www.hs-augsburg.de/~mueckenh/Transfinity/Transfinity/pdf, p. 43. 
But details differ.

Regards, WM