Re: Definition of real number ℝ --infinitesimal--

Liste des GroupesRevenir à c theory 
Sujet : Re: Definition of real number ℝ --infinitesimal--
De : Keith.S.Thompson+u (at) *nospam* gmail.com (Keith Thompson)
Groupes : comp.theory
Date : 29. Mar 2024, 06:15:44
Autres entêtes
Organisation : None to speak of
Message-ID : <87y1a1smfj.fsf@nosuchdomain.example.com>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Gnus/5.13 (Gnus v5.13) Emacs/27.2 (gnu/linux)
olcott <polcott2@gmail.com> writes:
On 3/28/2024 10:36 PM, Keith Thompson wrote:
[...]
If your point is that you personally like hyperreals better than you
like reals, that's fine, as long as you're clear which number system
you're using. 
>
The Infinitesimal number system that I created.

Ah, then you're not talking about the conventional real numbers.  That's
all I needed to know.

--
Keith Thompson (The_Other_Keith) Keith.S.Thompson+u@gmail.com
Working, but not speaking, for Medtronic
void Void(void) { Void(); } /* The recursive call of the void */

Date Sujet#  Auteur
28 Mar 24 * Definition of real number ℝ167wij
28 Mar 24 `* Re: Definition of real number ℝ166Fred. Zwarts
28 Mar 24  +* Re: Definition of real number ℝ4wij
28 Mar 24  i`* Re: Definition of real number ℝ3Fred. Zwarts
28 Mar 24  i `* Re: Definition of real number ℝ2wij
28 Mar 24  i  `- Re: Definition of real number ℝ1Fred. Zwarts
28 Mar 24  `* Re: Definition of real number ℝ161Andy Walker
28 Mar 24   `* Re: Definition of real number ℝ --infinitesimal--160olcott
28 Mar 24    +* Re: Definition of real number ℝ --infinitesimal--7Andy Walker
28 Mar 24    i`* Re: Definition of real number ℝ --infinitesimal--6olcott
28 Mar 24    i +* Re: Definition of real number ℝ --infinitesimal--2wij
29 Mar 24    i i`- Re: Definition of real number ℝ --infinitesimal--1Andy Walker
28 Mar 24    i `* Re: Definition of real number ℝ --infinitesimal--3Andy Walker
28 Mar 24    i  `* Re: Definition of real number ℝ --infinitesimal--2olcott
29 Mar 24    i   `- Re: Definition of real number ℝ --infinitesimal--1Andy Walker
29 Mar 24    `* Re: Definition of real number ℝ --infinitesimal--152Richard Damon
29 Mar 24     `* Re: Definition of real number ℝ --infinitesimal--151olcott
29 Mar 24      `* Re: Definition of real number ℝ --infinitesimal--150Richard Damon
29 Mar 24       +* Re: Definition of real number ℝ --infinitesimal--148olcott
29 Mar 24       i+- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
29 Mar 24       i`* Re: Definition of real number ℝ --infinitesimal--146Keith Thompson
29 Mar 24       i `* Re: Definition of real number ℝ --infinitesimal--145olcott
29 Mar 24       i  +* Re: Definition of real number ℝ --infinitesimal--10Keith Thompson
29 Mar 24       i  i+* Re: Definition of real number ℝ --infinitesimal--8olcott
29 Mar 24       i  ii`* Re: Definition of real number ℝ --infinitesimal--7Andy Walker
29 Mar 24       i  ii `* Re: Definition of real number ℝ --infinitesimal--6olcott
29 Mar 24       i  ii  `* Re: Definition of real number ℝ --infinitesimal--5Fred. Zwarts
29 Mar 24       i  ii   +* Re: Definition of real number ℝ --infinitesimal--3wij
29 Mar 24       i  ii   i+- Re: Definition of real number ℝ --infinitesimal--1wij
29 Mar 24       i  ii   i`- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
29 Mar 24       i  ii   `- Re: Definition of real number ℝ --infinitesimal--1olcott
29 Mar 24       i  i`- Re: Definition of real number ℝ --infinitesimal--1Fred. Zwarts
29 Mar 24       i  `* Re: Definition of real number ℝ --infinitesimal--134Richard Damon
29 Mar 24       i   `* Re: Definition of real number ℝ --infinitesimal--133olcott
29 Mar 24       i    `* Re: Definition of real number ℝ --infinitesimal--132Fred. Zwarts
29 Mar 24       i     +- Re: Definition of real number ℝ --infinitesimal--1olcott
30 Mar 24       i     `* Re: Definition of real number ℝ --infinitesimal--130Keith Thompson
30 Mar 24       i      `* Re: Definition of real number ℝ --infinitesimal--129olcott
30 Mar 24       i       +* Re: Definition of real number ℝ --infinitesimal--125Keith Thompson
30 Mar 24       i       i+* Re: Definition of real number ℝ --infinitesimal--2Keith Thompson
30 Mar 24       i       ii`- Re: Definition of real number ℝ --infinitesimal--1Ross Finlayson
30 Mar 24       i       i`* Re: Definition of real number ℝ --infinitesimal--122olcott
30 Mar 24       i       i +* Re: Definition of real number ℝ --infinitesimal--5Keith Thompson
30 Mar 24       i       i i`* Re: Definition of real number ℝ --infinitesimal--4olcott
30 Mar 24       i       i i `* Re: Definition of real number ℝ --infinitesimal--3André G. Isaak
30 Mar 24       i       i i  `* Re: Definition of real number ℝ --infinitesimal--2olcott
30 Mar 24       i       i i   `- Re: Definition of real number ℝ --infinitesimal--1Keith Thompson
30 Mar 24       i       i +* Re: Definition of real number ℝ --infinitesimal--3Fred. Zwarts
30 Mar 24       i       i i`* Re: Definition of real number ℝ --infinitesimal--2olcott
30 Mar 24       i       i i `- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
30 Mar 24       i       i `* Re: Definition of real number ℝ --infinitesimal--113Fred. Zwarts
30 Mar 24       i       i  `* Re: Definition of real number ℝ --infinitesimal--112olcott
30 Mar 24       i       i   +* Re: Definition of real number ℝ --infinitesimal--7Richard Damon
30 Mar 24       i       i   i`* Re: Definition of real number ℝ --infinitesimal--6wij
30 Mar 24       i       i   i `* Re: Definition of real number ℝ --infinitesimal--5Richard Damon
30 Mar 24       i       i   i  `* Re: Definition of real number ℝ --infinitesimal--4wij
30 Mar 24       i       i   i   `* Re: Definition of real number ℝ --infinitesimal--3Richard Damon
30 Mar 24       i       i   i    `* Re: Definition of real number ℝ --infinitesimal--2wij
30 Mar 24       i       i   i     `- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
30 Mar 24       i       i   +- Re: Definition of real number ℝ --infinitesimal--1Fred. Zwarts
30 Mar 24       i       i   `* Re: Definition of real number ℝ --infinitesimal--103Fred. Zwarts
30 Mar 24       i       i    `* Re: Definition of real number ℝ --infinitesimal--102olcott
30 Mar 24       i       i     `* Re: Definition of real number ℝ --infinitesimal--101Fred. Zwarts
30 Mar 24       i       i      +* Re: Definition of real number ℝ --infinitesimal--98olcott
31 Mar 24       i       i      i`* Re: Definition of real number ℝ --infinitesimal--97Fred. Zwarts
31 Mar 24       i       i      i `* Re: Definition of real number ℝ --infinitesimal--96olcott
31 Mar 24       i       i      i  +* Re: Definition of real number ℝ --infinitesimal--94Fred. Zwarts
31 Mar 24       i       i      i  i`* Re: Definition of real number ℝ --infinitesimal--93olcott
31 Mar 24       i       i      i  i +- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
1 Apr 24       i       i      i  i `* Re: Definition of real number ℝ --infinitesimal--91Fred. Zwarts
1 Apr 24       i       i      i  i  `* Re: Definition of real number ℝ --infinitesimal--90olcott
1 Apr 24       i       i      i  i   +* Re: Definition of real number ℝ --infinitesimal--88Fred. Zwarts
1 Apr 24       i       i      i  i   i`* Re: Definition of real number ℝ --infinitesimal--87olcott
1 Apr 24       i       i      i  i   i +* Re: Definition of real number ℝ --infinitesimal--57Fred. Zwarts
1 Apr 24       i       i      i  i   i i`* Re: Definition of real number ℝ --infinitesimal--56olcott
1 Apr 24       i       i      i  i   i i +* Re: Definition of real number ℝ --infinitesimal--14André G. Isaak
1 Apr 24       i       i      i  i   i i i+* Re: Definition of real number ℝ --infinitesimal--6André G. Isaak
1 Apr 24       i       i      i  i   i i ii`* Re: Definition of real number ℝ --infinitesimal--5wij
2 Apr 24       i       i      i  i   i i ii +* Re: Definition of real number ℝ --infinitesimal--3wij
2 Apr 24       i       i      i  i   i i ii i`* Re: Definition of real number ℝ --infinitesimal--2Ben Bacarisse
2 Apr 24       i       i      i  i   i i ii i `- Re: Definition of real number ℝ --infinitesimal--1wij
2 Apr 24       i       i      i  i   i i ii `- Re: Definition of real number ℝ --infinitesimal--1olcott
2 Apr 24       i       i      i  i   i i i`* Re: Definition of real number ℝ --infinitesimal--7olcott
2 Apr 24       i       i      i  i   i i i `* Re: Definition of real number ℝ --infinitesimal--6Fred. Zwarts
2 Apr 24       i       i      i  i   i i i  `* Re: Definition of real number ℝ --infinitesimal--5olcott
2 Apr 24       i       i      i  i   i i i   +* Re: Definition of real number ℝ --infinitesimal--3Fred. Zwarts
2 Apr 24       i       i      i  i   i i i   i`* Re: Definition of real number ℝ --infinitesimal--2olcott
3 Apr 24       i       i      i  i   i i i   i `- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
3 Apr 24       i       i      i  i   i i i   `- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
2 Apr 24       i       i      i  i   i i +- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
2 Apr 24       i       i      i  i   i i `* Re: Definition of real number ℝ --infinitesimal--40Fred. Zwarts
2 Apr 24       i       i      i  i   i i  +* Re: Definition of real number ℝ --infinitesimal--36olcott
2 Apr 24       i       i      i  i   i i  i+* Re: Definition of real number ℝ --infinitesimal--34Fred. Zwarts
2 Apr 24       i       i      i  i   i i  ii`* Re: Definition of real number ℝ --infinitesimal--33olcott
3 Apr 24       i       i      i  i   i i  ii +- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
3 Apr 24       i       i      i  i   i i  ii `* Re: Definition of real number ℝ --infinitesimal--31Fred. Zwarts
3 Apr 24       i       i      i  i   i i  ii  `* Re: Definition of real number ℝ --infinitesimal--30olcott
3 Apr 24       i       i      i  i   i i  ii   +* Re: Definition of real number ℝ --infinitesimal--28Fred. Zwarts
3 Apr 24       i       i      i  i   i i  ii   i+- Re: Definition of real number ℝ --infinitesimal--1olcott
3 Apr 24       i       i      i  i   i i  ii   i`* Re: Definition of real number ℝ --infinitesimal--26Keith Thompson
3 Apr 24       i       i      i  i   i i  ii   i +* Re: Definition of real number ℝ --infinitesimal--19olcott
3 Apr 24       i       i      i  i   i i  ii   i `* Re: Definition of real number ℝ --infinitesimal--6Mike Terry
4 Apr 24       i       i      i  i   i i  ii   `- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
3 Apr 24       i       i      i  i   i i  i`- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
2 Apr 24       i       i      i  i   i i  `* Re: Definition of real number ℝ --infinitesimal--3Mike Terry
2 Apr 24       i       i      i  i   i +* Re: Definition of real number ℝ --infinitesimal--28Keith Thompson
2 Apr 24       i       i      i  i   i `- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
2 Apr 24       i       i      i  i   `- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
31 Mar 24       i       i      i  `- Re: Definition of real number ℝ --infinitesimal--1Richard Damon
30 Mar 24       i       i      `* Re: Definition of real number ℝ --infinitesimal--2olcott
30 Mar 24       i       `* Re: Definition of real number ℝ --infinitesimal--3Andy Walker
29 Mar 24       `- Re: Definition of real number ℝ --infinitesimal--1wij

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