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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: sci.logic
Subject: Re: Replacement of Cardinality
Date: Tue, 30 Jul 2024 10:26:47 +0300
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On 2024-07-29 13:15:36 +0000, WM said:

> Le 29/07/2024 à 11:01, Mikko a écrit :
> 
>> He also notes that what we have learned from finite quatities does
>> not apply to infinity.
> 
> Unit fractions are isolated. They have distances. The function "unit 
> fractions between 0 and x" can nowhere grow by more than 1.

The number of unit fractions between 0 and x is infinite and the number
of unit fractions between 0 and y is infinite. Whether one infinity is
bigger or smaller than another infinity is not answerable merely on the
basis of our experinece about finite quantities but only after a carful
analysis if at all.

-- 
Mikko