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>
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].
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.
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
seems to map integers to a contiguous set of
immediately adjacent geometric points
on the number line.
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