Sujet : Re: Replacement of Cardinality --- infinitesimal number system
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.logic sci.mathDate : 31. Jul 2024, 02:33:31
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v8c49b$195vk$6@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14
User-Agent : Mozilla Thunderbird
Am 31.07.2024 um 03:30 schrieb olcott:
On 7/30/2024 8:19 PM, Moebius wrote:
Am 31.07.2024 um 02:11 schrieb olcott:
On 7/30/2024 6:54 PM, Moebius wrote:
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).
>
It is the case that the infinite set of points (0, 1] has exactly one point less than the infinite
set of points [0, 1].
>
Indeed! The point 0.
>
[0, 1] \ (0, 1] = {0}.
Yes. That is the point.
Remember that I originally wrote:
"Could you please explain to me the meaning of the phrase "between [0, 1] and (0, 1]"? What IS "between [0, 1] and (0, 1]". (Which real numbers are "between [0, 1] and (0, 1]"? 0? So why not just talk about 0 in this case?)"
Thank you for your contribution. EOD.
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