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From: Moebius <invalid@example.invalid>
Newsgroups: sci.logic,sci.math
Subject: Re: Replacement of Cardinality --- infinitesimal number system
Date: Wed, 31 Jul 2024 01:54:59 +0200
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Am 31.07.2024 um 01:46 schrieb olcott:
> On 7/30/2024 5:49 PM, Moebius wrote:
>> Am 30.07.2024 um 20:37 schrieb Jim Burns:
>>> On 7/30/2024 1:30 PM, WM wrote:
>>
>>>> [...] between [0, 1] and (0, 1].
>>
>> Could you please explain to me the meaning of the phrase "between [0, 
>> 1] and (0, 1]"?
> 
> One can construe them as line segments that differ in length
> by a single geometric point on the number line. I came up
> with that a few years ago with my infinitesimal number system
> that <bla>

Hint: IR does not comtain any "infinitesimal numbers" (except 0 that is).