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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Mon, 14 Oct 2024 15:22:50 -0700
Organization: A noiseless patient Spider
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On 10/14/2024 3:28 AM, WM wrote:
> On 12.10.2024 22:47, Richard Damon wrote:
>> On 10/12/24 2:55 PM, WM wrote:
> 
>>> 2n > n. That holds for all finite numbers. It halves the density.
> 
>> And half of infinity is infinity.
> 
> The density of the natural umbers is 1 number per place, the density of 
> the doubled numbers is 1/2 number per place.

{ 1, 2, 3, 4 ... }

{ 2, 4, 6, 8, ... }

Both are infinite. One is not larger than the other.