Sujet : Re: Replacement of Cardinality --- infinitesimal number system
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.logic sci.mathDate : 31. Jul 2024, 02:19:22
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v8c3eq$195vk$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12
User-Agent : Mozilla Thunderbird
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}.
…