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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: how
Date: Wed, 17 Apr 2024 11:54:26 -0700
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On 4/17/2024 11:49 AM, WM wrote:
> Le 17/04/2024 à 01:27, Richard Damon a écrit :
>> On 4/16/24 10:59 AM, WM wrote:
> 
>> Note, no "Natural Number" is actually infinite, that distinction falls 
>> on omega. But the SET of the Natural Numbers is Actually Infinite in 
>> Size, having a size of Aleph_0.
> 
> The size of ℕ is |ω|. That means ℕ extends on the ordinal line from 0 to 
> ω. By multiplying every natural number the extendion is doubled. That is 
> mathematics. Every contrary opinion is foolish.
>>
>> Does that mean the Natural Numbers themselves are individually only 
>> "Potentially Infinite" but the set of them is "Actually Infinite" by 
>> your definitions? 
> 
> The visible natural numbers are potentially infinite. The set ℕ is 
> assumed to be actualy infinite. This cannot be known let alone be 
> proven. 

The set of natural numbers is infinite... What is wrong with you, damn it!

;^o



> But we can assume it and draw conclusions. One of them is that 
> nothing fits between all natural numbers and ω.

Rolling eyes....