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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.logic,sci.math
Subject: Re: Replacement of Cardinality
Date: Mon, 5 Aug 2024 19:24:45 -0700
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On 8/4/2024 1:23 PM, Richard Damon wrote:
> On 8/4/24 11:23 AM, WM wrote:
>> Le 03/08/2024 à 17:56, Richard Damon a écrit :
>>> On 8/3/24 10:30 AM, WM wrote:
>>
>>>> But there is not even an eps that separates half of all unit fractions.
>>>
>>> Because such a question is meaningles, as there isn't a finite number 
>>> that is half of the count of unit fractions.
>>
>> If there are all, then there is half of all.
>>
>> Regards, WM
>>
>>
> 
> But half of aleph_0 is just aleph_0, so doesn't actually get smaller.
> 
> That is how the logic of infinite sets works.
> 
> The "even" numbers are in once sense 1/2 the size of the Natural Numbers 
> by dropping all the odds, but are also the same size by doubling each 
> Natural Number.
> 
> Yes, that seems counter-intuitive, but that is just the math of infinite 
> numbers.

There are infinite evens and there are infinite odds. WM needs to 
prepare to clog many toilets after he reads shit like that... ;^) I 
wonder? WM's plumber must be a busy man? Humm...