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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: how
Date: Thu, 6 Jun 2024 10:52:18 -0700
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On 6/5/2024 1:39 PM, WM wrote:
> Le 05/06/2024 à 21:28, Jim Burns a écrit :
>> On 6/5/2024 6:43 AM, WM wrote:
>>> Le 04/06/2024 à 23:31, Jim Burns a écrit :
>>>> On 6/4/2024 10:10 AM, WM wrote:
>>>>> Le 04/06/2024 à 04:07, Jim Burns a écrit :
>>
>>>>>> Assumption (2.) describes
>>>>>> objects in our familiar arithmetic.
>>>>>
>>>>> That is true
>>>>
>>>> Thank you.
>>
>>>> Assumption 2.
>>>> ℕ⁺ holds all.and.only
>>>> numbers countable.to by.1 from.0
>>>
>>> Of course.
>>
>> Assumption 2 in detail.
> 
> does not contradict that contrary to Cantor's claim most natural numbers 
> are uncountable, although with n also n^n^n is countable.
>>
> 
>>> For all counted n:
>>> |ℕ \ {1, 2, 3, ..., n}| = ℵo.
>>
>> not.exists n ∈ ℕ⁺:  |ℕ⁺\{n≥}| ≠ ℵ₀
>>
>> What do you (WM) think that proves?
> 
> It proves that people who say so are stupid and cannot understand that 
> ℵo natural numbers will remain uncounted forever.

uncounted implies that they are finite? You are the stupid one?