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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?
Date: Thu, 19 Sep 2024 14:55:01 +0200
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On 18.09.2024 22:49, Moebius wrote:
> Am 18.09.2024 um 21:35 schrieb Chris M. Thomasson:
>> On 9/18/2024 5:44 AM, WM wrote:
>>> On 16.09.2024 03:16, Richard Damon wrote:
>>>> On 9/15/24 3:39 PM, WM wrote:
>>>>> On 15.09.2024 18:38, Ben Bacarisse wrote:
>>>>>
>>>>>> It might be worth pointing out that any non-trivial interval [a, 
>>>>>> b] on
>>>>>> the real line (i.e. with b > a) contains an uncountable number of
>>>>>> points.
>>>>>
>>>>> That proves that small intervals cannot be defined (they are dark). 
>>>>
>>>> But arbitrary small intervals CAN be defined.
>>>>
>>>> Try to name one that can't.
>>>
>>> Define an interval comprising 9182024 points, starting at zero.
> 
> There IS NO "interval comprising 9182024 points", hence NOTHING TO 
> DEFINE HERE,

How can infinitely many points be accumulated without a first one? This 
belief proves that matheology is mistaken.

Regards, WM