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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Fri, 8 Nov 2024 21:36:17 +0100
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Am 08.11.2024 um 21:35 schrieb Moebius:
> Am 08.11.2024 um 20:05 schrieb joes:
>> Am Fri, 08 Nov 2024 17:43:15 +0100 schrieb WM:
>>> On 08.11.2024 13:28, Richard Damon wrote:
>>>> On 11/8/24 5:18 AM, WM wrote:
>>>
>>>>> My understanding of mathematics and geometry is that reordering cannot
>>>>> increase the measure (only reduce it by overlapping). This is a basic
>>>>> axiom which will certainly be agreed to by everybody not conditioned
>>>>> by matheology. But there is also an analytical proof: Every reordering
>>>>> of any finite set of intervals does not increase their measure. The
>>>>> limit of a constant sequence is this constant however.
>>>>> This geometrical consequence of Cantor's theory has, to my knowledge,
>>>>> never been discussed. By the way I got the idea after a posting of
>>>>> yours: Each of {...,-3,-2,-1,0,1,2,3,...} is the midpoint of an
>>>>> interval.
>>>> which makes the error that the properties of finite objects apply to
>>>> the infinite objects, which isn't true, and what just breaks your
>>>> logic.
>>> The infinite of the real axis is a big supply but an as big drain.
>>>>
>>>> You take it as a given, but that just means that your logic is unable
>>>> to actually handle the infinite.
>>> I take it as evident that intervals of the measure 1/5 of the positive
>>> real axis will not, by any shuffling, cover the real axis completely,
>>> let alone infinitely often. I think who believes this is a deplorable
>>> fanatic if not a fool.
> 
>> What is the measure you are using and what does it give for the real
>> axis?
> 
> Ob Du es nochmal schaffst, auf diesen saudummen Scheißdreck NICHT zu 
> antworten?

Ich kann es jedenfalls nicht mehr sehen/lesen. Daher kommst Du jetzt 
auch hier in mein Killfile. Tschüß!