Re: Replacement of Cardinality

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:

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But there is not even an eps that separates half of all unit fractions.

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Because such a question is meaningles, as there isn't a finite number that is half of the count of unit fractions.

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If there are all, then there is half of all.
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Regards, WM
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 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...