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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Sun, 20 Oct 2024 07:55:01 -0400
Organization: i2pn2 (i2pn.org)
Message-ID: <004e3a988f123d67d6a096aecf0b396f9f22b7f6@i2pn2.org>
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On 10/20/24 3:54 AM, WM wrote:
> On 20.10.2024 04:48, Richard Damon wrote:
> 
>> Which is what builds the actual infinite set. "Actual Infinity" is 
>> what you get when you conplete that construction process.
> 
> If it is completed and then all numbers are doubled, what do you get then?
> 
> Regards, WM
> 

A set of exactly the same size using only some of the numbers of the 
original set.

That is part of the property of the infinite.

Something that seems to explode your mind because it can't handle the 
concept of something actually being infinite.