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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: Mon, 21 Oct 2024 18:38:16 -0400
Organization: i2pn2 (i2pn.org)
Message-ID: <7a184742d16297f852912ab5eadb9e7b1e677721@i2pn2.org>
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On 10/21/24 4:09 AM, WM wrote:
> On 20.10.2024 23:54, Richard Damon wrote:
>> half of an infinite set can be the same size as the whole,
> 
> That is nonsense but it is not the point.

Nope, it is only "nonsense" to people stuck with finite thinking.

> The point is this: When doubling numbers, their distance increases in 
> positive direction, hence larger numbers are in the image than in the 
> range.

Nope, because the input range is infinite.

> 
> If the range was complete, the image shows that the range was not complete.

Nope, just shows that you don't understand what "complete" means for an 
infinite set.

> 
> Regards, WM
> 

Your logic has just been explosed to smithereens by a torpedo that came 
from the infinite domain and just annihilated your broken finite logic 
system.

Sorry, you are just showing that you mind is unable to understand what 
"infinite" actually means.