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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit fractions?
Date: Fri, 18 Oct 2024 16:55:19 -0400
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Jim Burns brought next idea :
> On 10/18/2024 2:13 PM, Chris M. Thomasson wrote:
>> On 9/16/2024 2:38 PM, Jim Burns wrote:
>>> On 9/16/2024 4:15 PM, Chris M. Thomasson wrote:
>
>>>> WM is a strange one.
>>>> If no point is between them,
>>>> then they are the same.
>>>
>>> If no point is between different points,
>>> then the points aren't in the complete line.
>>
>> If p0 and p1 are the same point then p1 - p0 is zero.
>>
>> Say:
>>
>> p0 = (1, 2, 3)
>> p1 = (1, 2, 3)
>>
>> pdif = p1 - p0
>>
>> pdif would be (0, 0, 0)
>>
>> See?
>
> I wouldn't choose to say that 0 is between 0 and 0
> If necessary,
> I would correct what I'd said so that
> it could not be taken to mean that.

Yeah, you said different as opposed to unique. I simply took it to mean 
not the same point.

[...]

> I would have thought that being.between
> had nothing to do with being.dark or being.visible.
>
> WM corrects me: It matters in some way.
>
> How does it matter?
> My need to ask is all the proof WM needs
> that I should not be told how it matters,
> proof that I am not one of the Fair Folk,
> able to spin WM's straw into gold;
>
> _not at all_ because WM has no idea
> what WM is talking about, and
> accomplishing more than making math.like noises
> is beyond his reach.

True, and he has gotten pretty far away from his ultimate goal.