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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Mon, 14 Oct 2024 12:31:58 +0200
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On 12.10.2024 22:47, Richard Damon wrote:
> On 10/12/24 2:19 PM, WM wrote:
>> On 11.10.2024 03:38, Richard Damon wrote:
>>
>>> The SIZE of the set of natural numbers is infinite, and thus obeys 
>>> the laws of infinite numbers. An infinite number, which has a finite 
>>> number, added to, multiplied by, or used as a power, is still that 
>>> same infinite number. It may seem impossible, but that is the nature 
>>> of infinite numbers.
>>
>> No natural number is infinite. They all obey the law of finite 
>> numbers. That includes the law that 2n > n.
> 
> Right, but for any number n that is a natural number 2n is also a 
> natural number and in the set.

But not in the set of numbers to be doubled. Half of the doubled numbers 
are not in that set.

Regards, WM