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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: Replacement of Cardinality
Date: Fri, 30 Aug 2024 09:20:29 -0400
Organization: i2pn2 (i2pn.org)
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On 8/30/24 9:01 AM, WM wrote:
> Le 30/08/2024 à 09:21, joes a écrit :
>> Am Thu, 29 Aug 2024 13:34:14 +0000 schrieb WM:
>>> Le 28/08/2024 à 16:00, FromTheRafters a écrit :
>>>> WM presented the following explanation :
>>>>> Le 27/08/2024 à 22:07, "Chris M. Thomasson" a écrit :
>>>>>> On 8/27/2024 12:36 PM, WM wrote:
>>>>>
>>>>>>> Dark natural numbers are larger than any visible natural number but
>>>>>>> smaller than their bound omega.
>>>>>>> Dark unit fractions are smaller than any visible unit fractions but
>>>>>>> larger than their bound 0.
>>>>>>
>>>>>> Define visible?
>>>>>
>>>>> The simplest definition is this: A visible number can be expressed in
>>>>> decimals or binaries.
>>>>
>>>> Can be? Or is? Or has previously been?
>>>
>>> Is or has previously been. If not yet expressed in the system, it is
>>> dark in the system. But small dark numbers can become visisble. (They
>>> have been called grey numbers.)
>> By induction that goes for every number.
> 
> *If actual infinity exists*, then induction fails to reach most numbers.
> 
> Regards, WM
> 
> 
Only in YOUR BROKEN finite logic.

The problem is all in your head, which got blown up when your logic 
system exploded in the inconsistancies of you using finite logic on 
infinite sets.