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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.logic,sci.math
Subject: Re: Replacement of Cardinality
Date: Tue, 13 Aug 2024 12:17:46 -0700
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On 8/13/2024 12:13 PM, Chris M. Thomasson wrote:
> On 8/13/2024 9:07 AM, FromTheRafters wrote:
>> WM used his keyboard to write :
>>> Le 12/08/2024 à 19:23, Richard Damon a écrit :
>>>> On 8/12/24 9:50 AM, WM wrote:
>>>
>>>>>> What causes an exception: nₓ ∈ ℕ:
>>>>>> ⅟nₓ > 0 without ⅟(nₓ+1) > 0 ?
>>>>>
>>>>> The end of the positive axis.
>>>>
>>>> Which, by the definition of the Natural Numbers, doesn't exist.
>>>
>>> The end of the positive axis exists.
>>
>> Right there where the negative axis begins?
> 
> Ahh! Touche. :^D
> 
> Well, lets say the real axis, or x axis if you will:
> 
> (...)<--(-1)<--(-0+)-->(+1)-->(...)
> 
> It's infinitely long... Notice the signed zero? lol. Fair enough?
> 
> 

I consider zero to be the origin for any n-ary axes system. For 2d (0, 
0), 3d (0, 0, 0) for 4d (0, 0, 0, 0), 5d (0, 0, 0, 0, 0), ect, ect... ;^)