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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Does the number of nines increase?
Date: Tue, 9 Jul 2024 14:34:04 -0700
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On 7/9/2024 2:07 PM, Moebius wrote:
> Am 09.07.2024 um 22:10 schrieb Chris M. Thomasson:
>> On 7/9/2024 3:11 AM, FromTheRafters wrote:
> 
>> Does that mean there are as many rationals as there are reals?
> 
> I already told you that: The set of rational numbers is countable 
> infinite while the set of real numbers is _uncountable_.
> 
> Again: One of my math professors once tried to express this state of 
> affairs the following way: "There are (in a certain sense) much more 
> real numbers than rational numbers."

Strange that any real can be represented by a rational up to infinite 
precision...