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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? (infinitary)
Date: Tue, 8 Oct 2024 12:41:21 -0700
Organization: A noiseless patient Spider
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On 10/8/2024 11:01 AM, Richard Damon wrote:
> On 10/8/24 11:34 AM, WM wrote:
>> On 08.10.2024 15:36, Richard Damon wrote:
>>> On 10/8/24 6:03 AM, WM wrote:
>>>> On 08.10.2024 09:30, Moebius wrote:
>>>>> Am 08.10.2024 um 09:29 schrieb Moebius:
>>>>
>>>>>> Properly understood, the idea of a completed infinity is no longer 
>>>>>> a problem in mathematics or philosophy. It is perfectly 
>>>>>> intelligible and coherent.
>>>>
>>>> Yes, but it is completed and therefore fixed. The number of nines in 
>>>> 0.999... does not change when shifted by one step.
>>>>
>>> But it must be infinite, and thus not have an "end"
>>
>> But it must be complete and therefore in linear order must have an end.
>>
>> Regards, WM
>>
> 
> And then it isn't infinte.
> 
> Seems you don't understand the problem with "completed infinity" that 
> being infinite, it can't be actually fully understood by the finite.

Think of a scenario where we are inside of a black hole that resides in 
our parent universe. This black hole has a parent, and has children, us 
as in our universe. This would mean that its a cosmic family tree, like 
a fractal. This also means that certain black holes in our own universe 
have children.

However, a resolution to the chicken and egg problem in this thought 
process would be to say that this cosmic tree was simply _always_ there, 
was never created and will never die... Ahh the infinite... ;^)




> 
> Having linear order does not imply having an end, unless you can assume 
> a finiteness.