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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Tue, 29 Oct 2024 11:55:05 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Tue, 29 Oct 2024 09:36:27 +0100 schrieb WM:
> On 29.10.2024 00:58, Richard Damon wrote:
>> On 10/28/24 3:42 PM, WM wrote:
> 
>>> I mean that there are unit fractions. None is below zero.
>>> Mathematics proves that never more than one is at any point.
>> Which doesn't mean there must be a first, as they aproach an
>> accumulation point where the density becomes infinite.
> Their density is bounded by uncountably many points between every pair
> of consecutive unit fractions:
> The density is one point over uncountably many points, that is rather
> precisely 0.
So not bounded at all.

>> Something which can't happen your world of finite logic, but does when
>> the logic can handle infinities.
> Where does the density surpass 1/10? Can you find this point?
How do you define the density at a point?

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.