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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?
Date: Thu, 19 Sep 2024 12:36:31 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <94e7d95290f394cdd10621927005e14b049be4c6@i2pn2.org>
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Am Thu, 19 Sep 2024 12:38:43 +0200 schrieb WM:
> On 18.09.2024 16:31, Jim Burns wrote:
>> On 9/18/2024 8:39 AM, WM wrote:
>>> On 16.09.2024 19:30, Jim Burns wrote:
>>>> On 9/15/2024 3:47 PM, WM wrote:
>> 
>>>>> I don't believe in gaps on the real line.
>>>>
>>>> There aren't gaps and there aren't next.numbers in
>>>> numbers.situating.splits of rationals with
>>>> countable.to.numerators.and.denominators
>>>
>>> So what is next instead?
>> 
>> What is between one and the next? A gap.
>> There is no gap in the real line.
>> There is no next in the real line.
>> If there were, there'd be a gap.
>> 
> Try to use logic. Either there is a point next to zero or there is no
> point next to zero, that means there is nothing, i.e., a gap.
If there were a point next to zero, there would be a gap inbetween.
Instead, there is an infinity.

-- 
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.