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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? (repleteness)
Date: Fri, 20 Sep 2024 14:38:12 -0700
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On 9/20/2024 2:20 PM, Ross Finlayson wrote:
> On 09/20/2024 02:15 PM, Ross Finlayson wrote:
>> On 09/20/2024 12:26 PM, Jim Burns wrote:
>>> On 9/20/2024 2:10 PM, WM wrote:
>>>> On 20.09.2024 19:51, Jim Burns wrote:
>>>
>>>>> Put pencil to paper and draw two curves which cross.
>>>>> There is a point at which the curves intersect.
>>>>
>>>> This proves that no line has gaps.
>>>
>>> A point (hypothetically) next to 0
>>> has an absence of points between it and 0
>>>
>>> No such absence of points exists.
>>> No point which is next to 0 exists.
>>>
>>>
>>
>> Theorems or axioms?
>>
>> In the physics, think on your wave/particle duality,
>> and the extended body, for example the wave-packet.
>>
>> "Drawing" a line, "tire en regle", or curve,
>> has that when you put pencil to paper,
>> and draw a line, or curve if you will,
>> and life the pencil and put it back down,
>> and draw another one, intersecting the first:
>> the _curves_ cross.
>>
>> ... At a point, of for example where
>> they're incident, they coincide.
>>
>>
>> Then these lines-reals these iota-values
>> are about the only "standard infinitesimals"
>> there are: with extent you observe, density
>> you observe, least-upper-bound as trivial,
>> and measure as assigned, length assignment.
>>
>>
> 
> Consider for example minutes between 1:00 and 3:00
> in this https://www.youtube.com/watch?v=fIexFF91Jl8
> "Moment and Motion:  medical imaging technology".
> 
> What it declares is that "complementary duals" have
> that the points and the space and the space and the
> points are for each other.
> 
> 

Actually, each frame in this is part of a 3d process for constructing a 
volume that can be used in a volumetric renderer. It is close to medical 
imaging wrt DICOM:

https://youtu.be/k9qpHcfiDho