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NNTP-Posting-Date: Fri, 01 Nov 2024 19:49:51 +0000
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Newsgroups: sci.math
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From: Ross Finlayson <ross.a.finlayson@gmail.com>
Date: Fri, 1 Nov 2024 12:50:00 -0700
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On 11/01/2024 08:04 AM, Jim Burns wrote:
> On 11/1/2024 7:38 AM, WM wrote:
>> On 01.11.2024 11:57, FromTheRafters wrote:
>
>>> [...]
>>
>> Actual means that all are there,
>> including the smallest.
>
> Claims like "The ordinals exists"
> work oppositely from how you think they work.
>
> If I claim "The ordinals exist", then
> I don't expand the universe to the ordinals.
> I contract our discourse to the ordinals.
>
>
> Normally (without magic spells),
> talking about stuff doesn't change stuff.
> However,
> we can change _what we're talking about_
> by saying "We're talking about _this_ stuff".
>
> Here,
> you say: the smallest exists.
> That does not pop the smallest into existence.
>
> It contracts our discourse to
> lines which have a smallest.
> But,
> when we look at what else we know about lines,
> we also know that _there is no smallest_
> You have contracted our discourse to
> lines which _do and don't_ have a smallest.
> You have contracted our discourse until
> nothing exists which we are talking about.
> However math.like it sounds,
> talk with no referents is gibberish.
>
>> Why?
>> It is a point on the real line,
>> well separated from its neighbour.
>
> You can contract our discourse to
> real lines with smallest points,
> but they will also be
> real lines without smallest points,
> which makes our discourse gibberish.
>
>


https://www.youtube.com/watch?v=5fnnGzDlslQ&t=600

"Moment and Motion: ...".