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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: sci.logic
Subject: Re: Replacement of Cardinality
Date: Tue, 20 Aug 2024 13:36:21 +0300
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On 2024-08-19 11:32:44 +0000, WM said:

> Le 17/08/2024 à 16:29, Richard Damon a écrit :
>> On 8/17/24 9:28 AM, WM wrote:
>>> Le 16/08/2024 à 19:39, Jim Burns a écrit :
>>> 
>>>> no element of ℕᵈᵉᶠ is its upper.end,
>>>> because
>>>> for each diminishable k
>>>> diminishable k+1 disproves by counter.example
>>>> that k is the upper.end of ℕᵈᵉᶠ
>>> 
>>> SBZ(x) starts with 0 at 0 and increases, but at no point x it increases 
>>> by more than 1 because of
>>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0. Therefore there is a smallest unit fractions 
>>> and vice versa a greatest natnumber.
>>> What can't you understand?
> 
>> But there is no point (>0) where it has a finite value,
> 
> You can't see it and you are unable to derive it from mathematics. But 
> blindness is not an argument.

Blindness is indeed much weeker than a proof but you may use it
as an argument as long as you can't find anything better.

-- 
Mikko