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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: Sat, 19 Oct 2024 22:48:52 -0400
Organization: i2pn2 (i2pn.org)
Message-ID: <3f1c0dd945e728b057008a12fa00683e0fe8e6e9@i2pn2.org>
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On 10/19/24 1:57 PM, WM wrote:
> On 19.10.2024 19:32, Alan Mackenzie wrote:
>> WM <wolfgang.mueckenheim@tha.de> wrote:
> 
>>> When multiplying all natural numbers by 2, then the number of numbers
>>> remains the same but the density is reduced and therefore the interval
>>> is doubled.
>>
>> That's not mathematics.
> 
> It is mathematics.
> 
>> It's merely your intuition, derived from finite
>> sets and misapplied to infinite sets.
> 
> It is the basic mathematics of natural numbers: 2n > n.
> If you believe in a different version of mathematics, try to find people 
> who are interested in that version. I am not.
> 
>> In mathematics, there is no meaningful distinction between what you think
>> of as two different forms of infinity.
> 
> You have not the faintest idea of infinity.
> 
> Regards, WM

No., it seems that YOU do not have the faintest idea of infinity, since 
you think an infinte set has a last element.