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NNTP-Posting-Date: Fri, 20 Sep 2024 21:20:29 +0000
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (repleteness)
Newsgroups: sci.math
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From: Ross Finlayson <ross.a.finlayson@gmail.com>
Date: Fri, 20 Sep 2024 14:20:33 -0700
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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.