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Groups > comp.ai.philosophy > #18797 > unrolled thread

Provably unprovable eliminates incompleteness

Started bypeteolcott <Here@Home>
First post2019-08-08 12:15 -0500
Last post2019-09-11 17:31 -0700
Articles 20 on this page of 244 — 17 participants

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Contents

  Provably unprovable eliminates incompleteness peteolcott <Here@Home> - 2019-08-08 12:15 -0500
    Re: Provably unprovable eliminates incompleteness Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-08-08 21:28 +0100
    Re: Provably unprovable eliminates incompleteness Dhu on Gate <campbell@neotext.ca> - 2019-09-08 06:06 +0000
      Re: Provably unprovable eliminates incompleteness Stuart Redmann <DerTopper@web.de> - 2019-09-09 11:30 +0200
        Re: Provably unprovable eliminates incompleteness peteolcott <Here@Home> - 2019-09-09 10:01 -0500
          Re: Provably unprovable eliminates incompleteness Mr Flibble <flibble@i42.removethisbit.co.uk> - 2019-09-09 21:38 +0100
            Re: Provably unprovable eliminates incompleteness peteolcott <Here@Home> - 2019-09-09 18:05 -0500
          Re: Provably unprovable eliminates incompleteness David Brown <david.brown@hesbynett.no> - 2019-09-10 09:01 +0200
            Re: Provably unprovable eliminates incompleteness peteolcott <Here@Home> - 2019-09-10 10:38 -0500
              Re: Provably unprovable eliminates incompleteness David Brown <david.brown@hesbynett.no> - 2019-09-10 22:01 +0200
                Re: Provably unprovable eliminates incompleteness [ Infinitesimal numbers ] peteolcott <Here@Home> - 2019-09-10 20:12 -0500
              Re: Provably unprovable eliminates incompleteness Reinhardt Behm <rbehm@hushmail.com> - 2019-09-11 15:31 +0800
                Re: Provably unprovable eliminates incompleteness (cardinality is incorrect) peteolcott <Here@Home> - 2019-09-11 12:04 -0500
                  Re: Provably unprovable eliminates incompleteness (cardinality is incorrect) Reinhardt Behm <rbehm@hushmail.com> - 2019-09-12 10:20 +0800
                    Re: Provably unprovable eliminates incompleteness (cardinality is incorrect) peteolcott <Here@Home> - 2019-09-11 23:51 -0500
                    Re: Provably unprovable eliminates incompleteness (cardinality is incorrect) Keith Thompson <kst-u@mib.org> - 2019-09-12 01:22 -0700
                Re: Provably unprovable eliminates incompleteness (cardinality is incorrect) peteolcott <Here@Home> - 2019-09-11 12:05 -0500
                  Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-11 18:32 -0500
                    Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-11 20:03 -0500
                      Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-11 20:59 -0500
                        Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-11 22:16 -0500
                          Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-12 11:14 -0500
                            Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Deceptive Strawman by Ben peteolcott <Here@Home> - 2019-09-12 21:00 -0500
                              Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Deceptive Strawman by Ben peteolcott <Here@Home> - 2019-09-12 21:39 -0500
                                Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Deceptive Strawman by Ben peteolcott <Here@Home> - 2019-09-13 11:48 -0500
                            Re: Cantor was wrong about cardinality --- APOLOGY peteolcott <Here@Home> - 2019-09-14 13:09 -0500
                              Re: Cantor was wrong about cardinality --- APOLOGY peteolcott <Here@Home> - 2019-09-14 19:24 -0500
                                Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-14 21:33 -0500
                                  Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-16 10:17 -0500
                                    Re: Cantor was wrong about cardinality --- APOLOGY clear yet? André G. Isaak <agisaak@gm.invalid> - 2019-09-16 09:26 -0600
                                      Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 10:36 -0500
                                        Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 10:06 -0600
                                          Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 11:22 -0500
                                            Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 10:38 -0600
                                              Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 11:59 -0500
                                                Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 11:10 -0600
                                                  Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 13:27 -0500
                                                    Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 12:34 -0600
                                                      Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 14:19 -0500
                                                        Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 13:35 -0600
                                                          Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 14:51 -0500
                                                            Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 14:15 -0600
                                                              Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 16:18 -0500
                                                                Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 16:00 -0600
                                                                  Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Keith Thompson <kst-u@mib.org> - 2019-09-16 15:29 -0700
                                                                  Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 18:14 -0500
                                                                Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Jeff Barnett <jbb@notatt.com> - 2019-09-16 23:34 -0600
                                                            Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 14:25 -0600
                                                              Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 16:21 -0500
                                                                Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 16:01 -0600
                                                              Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Keith Thompson <kst-u@mib.org> - 2019-09-16 15:46 -0700
                                                                Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 18:07 -0500
                                                                Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Me <invalid@invalid.de> - 2019-09-17 01:09 +0200
                                                                Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2019-09-17 02:33 +0100
                                                                  Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 20:53 -0500
                                                                    Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 21:55 -0600
                                                                  Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Keith Thompson <kst-u@mib.org> - 2019-09-16 19:21 -0700
                                                                  Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 21:40 -0600
                                                                    Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Keith Thompson <kst-u@mib.org> - 2019-09-16 21:38 -0700
                                                                      Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). peteolcott <Here@Home> - 2019-09-17 00:24 -0500
                                                                        Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). peteolcott <Here@Home> - 2019-09-17 11:39 -0500
                                                                          Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2019-09-17 18:38 +0100
                                                                            Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). peteolcott <Here@Home> - 2019-09-17 13:17 -0500
                                                                          Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). Keith Thompson <kst-u@mib.org> - 2019-09-17 11:13 -0700
                                                                            Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). peteolcott <Here@Home> - 2019-09-17 13:29 -0500
                                                                      Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (Concurrence) peteolcott <Here@Home> - 2019-09-17 11:20 -0500
                                                                        Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (Concurrence) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 10:56 -0600
                                                                          Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (Concurrence) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 11:29 -0600
                                                                      Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2019-09-17 18:32 +0100
                                                                        Re: Cantor was wrong about cardinality --- (Correction) peteolcott <Here@Home> - 2019-09-17 12:49 -0500
                                                                          Re: Cantor was wrong about cardinality --- (Correction) Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2019-09-17 19:59 +0100
                                                                            Re: Cantor was wrong about cardinality --- (Correction) peteolcott <Here@Home> - 2019-09-17 14:09 -0500
                                                                        Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Keith Thompson <kst-u@mib.org> - 2019-09-17 11:42 -0700
                                                                          Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-17 14:01 -0500
                                                                          Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-17 17:51 -0500
                                                                        Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-17 15:58 -0500
                                                                  Re: Cantor was wrong about cardinality --- (Mike Terry Concurrence ] peteolcott <Here@Home> - 2019-09-19 11:46 -0500
                                                                Re: Cantor was wrong about cardinality --- [ Keith Thompson Concurrence ] peteolcott <Here@Home> - 2019-09-19 11:52 -0500
                                                                  Re: Cantor was wrong about cardinality --- [ Keith Thompson Concurrence ] peteolcott <Here@Home> - 2019-09-19 11:55 -0500
                                                                  Re: Cantor was wrong about cardinality --- [ Keith Thompson Concurrence ] Keith Thompson <kst-u@mib.org> - 2019-09-19 14:44 -0700
                                                                    Re: Cantor was wrong about cardinality --- [ Keith Thompson Concurrence ] peteolcott <Here@Home> - 2019-09-19 17:31 -0500
                                      Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 11:02 -0500
                                    Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-16 20:01 -0500
                                      Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-16 22:39 -0500
                                        Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-17 22:23 -0500
                                          Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Keith Thompson <kst-u@mib.org> - 2019-09-18 01:39 -0700
                                            Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-18 09:59 -0500
                                              Re: Cantor was wrong about cardinality --- APOLOGY clear yet? André G. Isaak <agisaak@gm.invalid> - 2019-09-18 09:21 -0600
                                                Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-18 10:41 -0500
                                                  Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Keith Thompson <kst-u@mib.org> - 2019-09-18 13:55 -0700
                                                    Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-18 16:17 -0500
                                                Re: Cantor was wrong about cardinality --- [ CONCURRENCE ] peteolcott <Here@Home> - 2019-09-18 11:10 -0500
                      Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-12 09:05 -0600
                        Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-12 10:49 -0500
                          Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-12 10:02 -0600
                            Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 00:18 -0500
                              Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-12 23:24 -0600
                                Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 10:01 -0500
                                  Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 09:13 -0600
                                    Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 09:56 -0600
                                      Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 11:40 -0500
                                        Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 11:03 -0600
                                          Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 12:48 -0500
                                            Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 12:25 -0600
                                            Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 22:35 -0600
                                              Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-14 16:42 -0500
                                    Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 11:28 -0500
                                  Re: Cantor was wrong about cardinality --- COMPLETE peteolcott <Here@Home> - 2019-09-14 11:34 -0500
                                    Re: Cantor was wrong about cardinality --- COMPLETE (Andy Goofed) peteolcott <Here@Home> - 2019-09-14 18:00 -0500
                                      Re: Cantor was wrong about cardinality --- COMPLETE (Andy really did Goof) peteolcott <Here@Home> - 2019-09-16 09:42 -0500
                                        Re: Cantor was wrong about cardinality --- COMPLETE (Andy really did Goof) André G. Isaak <agisaak@gm.invalid> - 2019-09-16 09:13 -0600
                                    Re: Cantor was wrong about cardinality --- COMPLETE peteolcott <Here@Home> - 2019-09-14 19:36 -0500
                                      Re: Cantor was wrong about cardinality --- COMPLETE peteolcott <Here@Home> - 2019-09-14 21:38 -0500
                                        Re: Cantor was wrong about cardinality --- COMPLETE peteolcott <Here@Home> - 2019-09-16 10:21 -0500
                          Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 11:55 -0500
                      Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) BEN LIED !!! peteolcott <Here@Home> - 2019-09-14 00:55 -0500
                    Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-16 10:26 -0500
                      Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-16 18:24 -0500
                        Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-17 22:19 -0500
                          Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 21:23 -0600
                            Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-17 22:31 -0500
                              Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 22:04 -0600
                                Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-17 23:21 -0500
                                  Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 22:40 -0600
                                    Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 00:27 -0500
                                      Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 23:55 -0600
                                        Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 00:59 -0500
                                          Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 00:12 -0600
                                            Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 10:15 -0500
                                              Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 09:35 -0600
                                                Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 11:00 -0500
                                                  Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 10:14 -0600
                                                    Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 11:26 -0500
                                                      Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 10:42 -0600
                                                        Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 13:10 -0500
                                                          Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 12:36 -0600
                                                            Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 13:49 -0500
                                                              Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 12:59 -0600
                                                                Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 14:12 -0500
                                                                  Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 13:30 -0600
                                                                    Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 14:45 -0500
                                                                      Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 14:14 -0600
                                                                        Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 15:29 -0500
                                                                          Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 14:38 -0600
                                                                            Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 15:56 -0500
                                                                              Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 20:38 -0600
                                                                                Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 22:03 -0500
                                                                                  Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 21:33 -0600
                                                                                Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-19 10:35 -0500
                                                                                Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-19 11:42 -0500
                                                                                  Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-19 12:43 -0500
                                      Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-19 10:24 -0500
                          Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-17 23:32 -0500
                            Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 23:21 -0600
                            Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-19 17:13 -0500
                              Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-19 19:49 -0500
                                Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-21 09:45 -0500
                                Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-21 15:22 -0500
                                  Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Don Stockbauer <donstockbauer@hotmail.com> - 2019-09-27 07:24 -0700
              Re: Provably unprovable eliminates incompleteness Juha Nieminen <nospam@thanks.invalid> - 2019-09-12 22:07 +0000
                Re: Provably unprovable eliminates incompleteness peteolcott <Here@Home> - 2019-09-12 18:53 -0500
                  Re: Provably unprovable eliminates incompleteness Keith Thompson <kst-u@mib.org> - 2019-09-12 17:47 -0700
                  Re: Provably unprovable eliminates incompleteness Juha Nieminen <nospam@thanks.invalid> - 2019-09-13 08:14 +0000
                    Re: Provably unprovable eliminates incompleteness peteolcott <Here@Home> - 2019-09-13 09:35 -0500
                      Re: Provably unprovable eliminates incompleteness Mr Flibble <flibble@i42.removethisbit.co.uk> - 2019-09-13 15:55 +0100
                        Re: Provably unprovable eliminates incompleteness--- [ Cantor was wrong about cardinality ] peteolcott <Here@Home> - 2019-09-14 13:35 -0500
                          Re: Provably unprovable eliminates incompleteness--- [ Cantor was wrong about cardinality ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-14 22:52 +0100
                            Re: Provably unprovable eliminates incompleteness--- [ Cantor was wrong about cardinality ] peteolcott <Here@Home> - 2019-09-14 17:18 -0500
                              Re: Provably unprovable eliminates incompleteness--- [ Cantor was wrong about cardinality ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-14 23:30 +0100
                                Re: Provably unprovable eliminates incompleteness--- [ Cantor was wrong about cardinality ] peteolcott <Here@Home> - 2019-09-14 17:42 -0500
                                  Re: Provably unprovable eliminates incompleteness--- [ Cantor was wrong about cardinality ] Jeff Barnett <jbb@notatt.com> - 2019-09-14 18:12 -0600
                      Re: Provably unprovable eliminates incompleteness Juha Nieminen <nospam@thanks.invalid> - 2019-09-15 08:09 +0000
                        Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-16 09:50 -0500
                          Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-16 17:13 +0100
                            Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-16 11:24 -0500
                              Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-16 17:30 +0100
                                Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-16 12:08 -0500
                                  Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-16 18:15 +0100
                                    Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-16 13:35 -0500
                                      Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-16 20:02 +0100
                                        Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-16 14:48 -0500
                                          Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-16 22:26 +0100
                                            Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-16 18:11 -0500
                                              Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-16 18:12 -0500
                                          Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Juha Nieminen <nospam@thanks.invalid> - 2019-09-17 08:11 +0000
                                            Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-17 11:48 -0500
                                              Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] David Brown <david.brown@hesbynett.no> - 2019-09-17 21:10 +0200
                                                Re: Provably unprovable eliminates incompleteness [ Keith and Mike basis for Infinitesimal numbers ] peteolcott <Here@Home> - 2019-09-17 14:30 -0500
                                                Re: Provably unprovable eliminates incompleteness [ Keith and Mike basis for Infinitesimal numbers ] peteolcott <Here@Home> - 2019-09-17 14:33 -0500
                                                  Re: Provably unprovable eliminates incompleteness [ Keith and Mike basis for Infinitesimal numbers ] Keith Thompson <kst-u@mib.org> - 2019-09-17 13:28 -0700
                                                    Re: Provably unprovable eliminates incompleteness [ Keith and Mike basis for Infinitesimal numbers ] peteolcott <Here@Home> - 2019-09-17 15:31 -0500
                                                  Re: Provably unprovable eliminates incompleteness [ Keith and Mike basis for Infinitesimal numbers ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2019-09-17 22:16 +0100
                                                    Re: Provably unprovable eliminates incompleteness [ Keith and Mike basis for Infinitesimal numbers ] peteolcott <Here@Home> - 2019-09-17 16:42 -0500
                          Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Juha Nieminen <nospam@thanks.invalid> - 2019-09-17 08:05 +0000
                            Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-17 11:45 -0500
                              Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-17 18:14 +0100
                                Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-17 12:36 -0500
                                  Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2019-09-17 19:45 +0100
                                  Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-17 20:09 +0100
                                    Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-17 14:14 -0500
                                Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2019-09-17 18:59 +0100
                              Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Keith Thompson <kst-u@mib.org> - 2019-09-17 11:10 -0700
                                Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-17 13:48 -0500
                                Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Keith Thompson <kst-u@mib.org> - 2019-09-17 12:01 -0700
                              Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Juha Nieminen <nospam@thanks.invalid> - 2019-09-18 07:35 +0000
                                Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-18 10:02 -0500
                                  Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-18 22:25 +0100
                                    Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-18 16:41 -0500
                                      Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-18 22:56 +0100
                                  Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Juha Nieminen <nospam@thanks.invalid> - 2019-09-18 21:34 +0000
                                    Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-18 16:42 -0500
                                      Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Juha Nieminen <nospam@thanks.invalid> - 2019-09-19 17:54 +0000
                                        Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-19 13:26 -0500
                                          Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Juha Nieminen <nospam@thanks.invalid> - 2019-09-20 08:06 +0000
                                  Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Siri Cruise <chine.bleu@yahoo.com> - 2019-09-19 13:37 -0700
                                    Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-19 16:07 -0500
                                      Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Siri Cruise <chine.bleu@yahoo.com> - 2019-09-19 15:04 -0700
                                        Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-19 17:32 -0500
                                          Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Juha Nieminen <nospam@thanks.invalid> - 2019-09-20 08:10 +0000
                              Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Siri Cruise <chine.bleu@yahoo.com> - 2019-09-19 13:33 -0700
                                Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-19 16:05 -0500
                                  Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Siri Cruise <chine.bleu@yahoo.com> - 2019-09-19 15:48 -0700
                                    Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-19 18:00 -0500
                                      Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] David Brown <david.brown@hesbynett.no> - 2019-09-20 08:52 +0200
                                        Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Siri Cruise <chine.bleu@yahoo.com> - 2019-09-20 00:10 -0700
                                          Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] David Brown <david.brown@hesbynett.no> - 2019-09-20 10:11 +0200
                                  Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] Juha Nieminen <nospam@thanks.invalid> - 2019-09-20 08:25 +0000
                        Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] peteolcott <Here@Home> - 2019-09-16 09:54 -0500
                          Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ] André G. Isaak <agisaak@gm.invalid> - 2019-09-16 09:15 -0600
                        Re: Provably unprovable eliminates incompleteness Siri Cruise <chine.bleu@yahoo.com> - 2019-09-19 13:13 -0700
                Re: Provably unprovable eliminates incompleteness Siri Cruise <chine.bleu@yahoo.com> - 2019-09-19 12:54 -0700
                  Re: Provably unprovable eliminates incompleteness peteolcott <Here@Home> - 2019-09-19 15:09 -0500
              Re: Provably unprovable eliminates incompleteness Siri Cruise <chine.bleu@yahoo.com> - 2019-09-19 12:45 -0700
          Re: Provably unprovable eliminates incompleteness Siri Cruise <chine.bleu@yahoo.com> - 2019-09-19 12:34 -0700
            Re: Provably unprovable eliminates incompleteness [ COMPLETE-2 ] peteolcott <Here@Home> - 2019-09-19 14:58 -0500
              Re: Provably unprovable eliminates incompleteness [ COMPLETE-2 ] Siri Cruise <chine.bleu@yahoo.com> - 2019-09-19 15:57 -0700
                Re: Provably unprovable eliminates incompleteness [ COMPLETE-2 ] peteolcott <Here@Home> - 2019-09-19 18:10 -0500
                  Re: Provably unprovable eliminates incompleteness [ COMPLETE-2 ] Mr Flibble <flibbleREMOVETHISBIT@i42.co.uk> - 2019-09-20 13:18 +0100
        Re: Provably unprovable eliminates incompleteness Louis Valence <lvalence@example.com> - 2019-09-09 17:43 -0300
        Re: Provably unprovable eliminates incompleteness Siri Cruise <chine.bleu@yahoo.com> - 2019-09-19 12:28 -0700
          Re: Provably unprovable eliminates incompleteness peteolcott <Here@Home> - 2019-09-19 15:04 -0500
      Re: Provably unprovable eliminates incompleteness peteolcott <Here@Home> - 2019-09-09 09:57 -0500
    Re: Provably unprovable eliminates incompleteness Keith Thompson <kst-u@mib.org> - 2019-09-09 13:30 -0700
    Re: Provably unprovable eliminates incompleteness temakoutera62@gmail.com - 2019-09-11 17:31 -0700

Page 11 of 13 — ← Prev page 1 … 9 10 [11] 12 13  Next page →


#19253 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromMike Terry <news.dead.person.stones@darjeeling.plus.com>
Date2019-09-17 18:59 +0100
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<yaOdnXtHg6xjgxzAnZ2dnUU78UXNnZ2d@brightview.co.uk>
In reply to#19247
On 17/09/2019 18:14, Mr Flibble wrote:
> On 17/09/2019 17:45, peteolcott wrote:
>> On 9/17/2019 3:05 AM, Juha Nieminen wrote:
>>> In comp.lang.c++ peteolcott <Here@home> wrote:
>>>> The length of this interval is exactly 3.0
>>>> (0.0, 3.0]
>>>> The smallest real number larger than 0.0 is its first point.
>>>
>>> You can repeat that as many times as you want, but that will not make
>>> such a number to exist.
>>>
>>> There is no "smallest real number larger than 0". Learn some number
>>> theory, will you?
>>>
>>
>> Keith Thompson proves that he fully understands the Infinitesimal
>> number system:
>>
>> On 9/16/2019 11:38 PM, Keith Thompson wrote:
>>  > I can imagine that *this* set has a least element.  For example
>>  > we can define "iota" as an infinitesimal, something that is not a
>>  > real number but that has a location on the number line, directly
>>  > adjacent to the real number 0.  It is greater than 0 and less than
>>  > any positive real number.
>>
>> He elaborates this understanding much more completely in his
>> 9/16/2019 11:38 PM, reply.
>
> The fact that this Keith Thompson bloke is also talking bollocks has no
> bearing on the fact that you are still hopelessly wrong. Do what someone
> else suggested and learn some number theory (and take your meds).
>
> /Flibble
>

Please do not assume that because PO says somebody or other "agrees" 
with him on something, that they actually do agree.  And if they do 
agree ON SOME SPECIFIC POINT, within SOME QUALIFIED CONTEXT, that does 
not mean they "support" PO generally, or that PO has honestly 
represented their views with his selective quoting.

For all you know, PO is quoting sentences you've written and presenting 
them elsewhere as "/Flibble over in xxxx agrees with me that xxxx", and 
people there are saying "Hey, that /Flibble guy doesn't half talk a load 
of bollocks!"

Mike.









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#19254 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromKeith Thompson <kst-u@mib.org>
Date2019-09-17 11:10 -0700
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<lnh85a94li.fsf@kst-u.example.com>
In reply to#19244
peteolcott <Here@Home> writes:
> On 9/17/2019 3:05 AM, Juha Nieminen wrote:
>> In comp.lang.c++ peteolcott <Here@home> wrote:
>>> The length of this interval is exactly 3.0
>>> (0.0, 3.0]
>>> The smallest real number larger than 0.0 is its first point.
>>
>> You can repeat that as many times as you want, but that will not make
>> such a number to exist.
>>
>> There is no "smallest real number larger than 0".
[...]

Agreed.

> Keith Thompson proves that he fully understands the Infinitesimal
> number system:

I do not fully understand infinitesimals, and I have not claimed
that I do.

[...]

-- 
Keith Thompson (The_Other_Keith) kst-u@mib.org  <http://www.ghoti.net/~kst>
Will write code for food.
void Void(void) { Void(); } /* The recursive call of the void */

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#19260 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

Frompeteolcott <Here@Home>
Date2019-09-17 13:48 -0500
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<yo-dnUjEaOf-txzAnZ2dnUU7-fXNnZ2d@giganews.com>
In reply to#19254
On 9/17/2019 1:10 PM, Keith Thompson wrote:
> peteolcott <Here@Home> writes:
>> On 9/17/2019 3:05 AM, Juha Nieminen wrote:
>>> In comp.lang.c++ peteolcott <Here@home> wrote:
>>>> The length of this interval is exactly 3.0
>>>> (0.0, 3.0]
>>>> The smallest real number larger than 0.0 is its first point.
>>>
>>> You can repeat that as many times as you want, but that will not make
>>> such a number to exist.
>>>
>>> There is no "smallest real number larger than 0".
> [...]
> 
> Agreed.
> 
>> Keith Thompson proves that he fully understands the Infinitesimal
>> number system:
> 
> I do not fully understand infinitesimals, and I have not claimed
> that I do.

This is the key essence of it:
On 9/16/2019 11:38 PM, Keith Thompson wrote:
 > we can define "iota" as an infinitesimal, something that is not a
 > real number but that has a location on the number line, directly
 > adjacent to the real number 0.  It is greater than 0 and less than
 > any positive real number.

[A, B] - {A} = (A, B] encoded as [A[1], B[0]]
[A[1], B[0]] - {A[1]} = (A[1], B[0]] encoded as [A[2], B[0]]


-- 
Copyright 2019 Pete Olcott All rights reserved

"Great spirits have always encountered violent
opposition from mediocre minds." Albert Einstein

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#19263 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromKeith Thompson <kst-u@mib.org>
Date2019-09-17 12:01 -0700
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<ln4l1a9276.fsf@kst-u.example.com>
In reply to#19254
Keith Thompson <kst-u@mib.org> writes:
> peteolcott <Here@Home> writes:
[SNIP]

My apologies, I didn't notice which newsgroups this was posted to.

-- 
Keith Thompson (The_Other_Keith) kst-u@mib.org  <http://www.ghoti.net/~kst>
Will write code for food.
void Void(void) { Void(); } /* The recursive call of the void */

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#19290 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromJuha Nieminen <nospam@thanks.invalid>
Date2019-09-18 07:35 +0000
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<qlsmo8$235h$1@adenine.netfront.net>
In reply to#19244
In comp.lang.c++ peteolcott <Here@home> wrote:
>> There is no "smallest real number larger than 0". Learn some number
>> theory, will you?
>> 
> 
> Keith Thompson proves that he fully understands the Infinitesimal
> number system:

Are you capable of understanding the "proof by contradiction" method in
mathematics?

Incidentally, the fact that there's no "smallest real number larger than 0"
is one of the *classical* simple examples of applying proof by
contradiction.

"Infinitesimals", no matter how you define them, do not help here. You
repeating your claims a million times does not change that fact.

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#19293 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

Frompeteolcott <Here@Home>
Date2019-09-18 10:02 -0500
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<PYKdnZj3lqVg2x_AnZ2dnUU7-IWdnZ2d@giganews.com>
In reply to#19290
On 9/18/2019 2:35 AM, Juha Nieminen wrote:
> In comp.lang.c++ peteolcott <Here@home> wrote:
>>> There is no "smallest real number larger than 0". Learn some number
>>> theory, will you?
>>>
>>
>> Keith Thompson proves that he fully understands the Infinitesimal
>> number system:
> 
> Are you capable of understanding the "proof by contradiction" method in
> mathematics?
> 
> Incidentally, the fact that there's no "smallest real number larger than 0"
> is one of the *classical* simple examples of applying proof by
> contradiction.
> 
> "Infinitesimals", no matter how you define them, do not help here. You
> repeating your claims a million times does not change that fact.
> 

YES OF COURSE NOTHING HELPS WHEN YOU DON'T BOTHER TO READ WHAT IS SAID

THERE IS A POINT ON THE NUMBER LINE IMMEDIATELY ADJACENT TO 0
On 9/16/2019 11:38 PM, Keith Thompson wrote:
 > we can define "iota" as an infinitesimal, something that is not a
 > real number but that has a location on the number line, directly
 > adjacent to the real number 0.  It is greater than 0 and less than
 > any positive real number.

-- 
Copyright 2019 Pete Olcott All rights reserved

"Great spirits have always encountered violent
opposition from mediocre minds." Albert Einstein

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#19316 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromMr Flibble <flibbleREMOVETHISBIT@i42.co.uk>
Date2019-09-18 22:25 +0100
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<FhxgF.182436$845.111634@fx19.fr7>
In reply to#19293
On 18/09/2019 16:02, peteolcott wrote:
> On 9/18/2019 2:35 AM, Juha Nieminen wrote:
>> In comp.lang.c++ peteolcott <Here@home> wrote:
>>>> There is no "smallest real number larger than 0". Learn some number
>>>> theory, will you?
>>>>
>>>
>>> Keith Thompson proves that he fully understands the Infinitesimal
>>> number system:
>>
>> Are you capable of understanding the "proof by contradiction" method in
>> mathematics?
>>
>> Incidentally, the fact that there's no "smallest real number larger than 0"
>> is one of the *classical* simple examples of applying proof by
>> contradiction.
>>
>> "Infinitesimals", no matter how you define them, do not help here. You
>> repeating your claims a million times does not change that fact.
>>
> 
> YES OF COURSE NOTHING HELPS WHEN YOU DON'T BOTHER TO READ WHAT IS SAID
> 
> THERE IS A POINT ON THE NUMBER LINE IMMEDIATELY ADJACENT TO 0

For the field of real numbers, no, there isn't.  Take your meds.

/Flibble

-- 
"Snakes didn't evolve, instead talking snakes with legs changed into 
snakes." - Rick C. Hodgin

“You won’t burn in hell. But be nice anyway.” – Ricky Gervais

“I see Atheists are fighting and killing each other again, over who 
doesn’t believe in any God the most. Oh, no..wait.. that never happens.” – 
Ricky Gervais

"Suppose it's all true, and you walk up to the pearly gates, and are 
confronted by God," Bryne asked on his show The Meaning of Life. "What 
will Stephen Fry say to him, her, or it?"
"I'd say, bone cancer in children? What's that about?" Fry replied.
"How dare you? How dare you create a world to which there is such misery 
that is not our fault. It's not right, it's utterly, utterly evil."
"Why should I respect a capricious, mean-minded, stupid God who creates a 
world that is so full of injustice and pain. That's what I would say."

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#19318 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

Frompeteolcott <Here@Home>
Date2019-09-18 16:41 -0500
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<66CdnV-BbtTqOR_AnZ2dnUU7-IudnZ2d@giganews.com>
In reply to#19316
On 9/18/2019 4:25 PM, Mr Flibble wrote:
> On 18/09/2019 16:02, peteolcott wrote:
>> On 9/18/2019 2:35 AM, Juha Nieminen wrote:
>>> In comp.lang.c++ peteolcott <Here@home> wrote:
>>>>> There is no "smallest real number larger than 0". Learn some number
>>>>> theory, will you?
>>>>>
>>>>
>>>> Keith Thompson proves that he fully understands the Infinitesimal
>>>> number system:
>>>
>>> Are you capable of understanding the "proof by contradiction" method in
>>> mathematics?
>>>
>>> Incidentally, the fact that there's no "smallest real number larger than 0"
>>> is one of the *classical* simple examples of applying proof by
>>> contradiction.
>>>
>>> "Infinitesimals", no matter how you define them, do not help here. You
>>> repeating your claims a million times does not change that fact.
>>>
>>
>> YES OF COURSE NOTHING HELPS WHEN YOU DON'T BOTHER TO READ WHAT IS SAID
>>
>> THERE IS A POINT ON THE NUMBER LINE IMMEDIATELY ADJACENT TO 0
> 
> For the field of real numbers, no, there isn't.  Take your meds.
> 
> /Flibble
> 

Did I say that it was a Real number?
Quit being a jackass.

-- 
Copyright 2019 Pete Olcott All rights reserved

"Great spirits have always encountered violent
opposition from mediocre minds." Albert Einstein

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#19320 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromMr Flibble <flibbleREMOVETHISBIT@i42.co.uk>
Date2019-09-18 22:56 +0100
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<fKxgF.60035$VR.34897@fx03.fr7>
In reply to#19318
On 18/09/2019 22:41, peteolcott wrote:
> On 9/18/2019 4:25 PM, Mr Flibble wrote:
>> On 18/09/2019 16:02, peteolcott wrote:
>>> On 9/18/2019 2:35 AM, Juha Nieminen wrote:
>>>> In comp.lang.c++ peteolcott <Here@home> wrote:
>>>>>> There is no "smallest real number larger than 0". Learn some number
>>>>>> theory, will you?
>>>>>>
>>>>>
>>>>> Keith Thompson proves that he fully understands the Infinitesimal
>>>>> number system:
>>>>
>>>> Are you capable of understanding the "proof by contradiction" method in
>>>> mathematics?
>>>>
>>>> Incidentally, the fact that there's no "smallest real number larger 
>>>> than 0"
>>>> is one of the *classical* simple examples of applying proof by
>>>> contradiction.
>>>>
>>>> "Infinitesimals", no matter how you define them, do not help here. You
>>>> repeating your claims a million times does not change that fact.
>>>>
>>>
>>> YES OF COURSE NOTHING HELPS WHEN YOU DON'T BOTHER TO READ WHAT IS SAID
>>>
>>> THERE IS A POINT ON THE NUMBER LINE IMMEDIATELY ADJACENT TO 0
>>
>> For the field of real numbers, no, there isn't.  Take your meds.
>>
>> /Flibble
>>
> 
> Did I say that it was a Real number?
> Quit being a jackass.

YOU CANNOT MIX NUMBERS FROM DIFFERENT FIELDS ON THE SAME NUMBER LINE YOU 
DEMENTED FUCKTARD. TAKE YOUR FUCKING MEDICATION.

/Flibble

-- 
"Snakes didn't evolve, instead talking snakes with legs changed into 
snakes." - Rick C. Hodgin

“You won’t burn in hell. But be nice anyway.” – Ricky Gervais

“I see Atheists are fighting and killing each other again, over who 
doesn’t believe in any God the most. Oh, no..wait.. that never happens.” – 
Ricky Gervais

"Suppose it's all true, and you walk up to the pearly gates, and are 
confronted by God," Bryne asked on his show The Meaning of Life. "What 
will Stephen Fry say to him, her, or it?"
"I'd say, bone cancer in children? What's that about?" Fry replied.
"How dare you? How dare you create a world to which there is such misery 
that is not our fault. It's not right, it's utterly, utterly evil."
"Why should I respect a capricious, mean-minded, stupid God who creates a 
world that is so full of injustice and pain. That's what I would say."

[toc] | [prev] | [next] | [standalone]


#19317 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromJuha Nieminen <nospam@thanks.invalid>
Date2019-09-18 21:34 +0000
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<qlu7sk$11lg$1@adenine.netfront.net>
In reply to#19293
In comp.lang.c++ peteolcott <Here@home> wrote:
> THERE IS A POINT ON THE NUMBER LINE IMMEDIATELY ADJACENT TO 0

Ok, what is that number?

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#19319 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

Frompeteolcott <Here@Home>
Date2019-09-18 16:42 -0500
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<66CdnV6BbtQnOR_AnZ2dnUU7-IudnZ2d@giganews.com>
In reply to#19317
On 9/18/2019 4:34 PM, Juha Nieminen wrote:
> In comp.lang.c++ peteolcott <Here@home> wrote:
>> THERE IS A POINT ON THE NUMBER LINE IMMEDIATELY ADJACENT TO 0
> 
> Ok, what is that number?
> 

It is the Infinitesimal Number 0.0[1] one point offset from 0.0.

-- 
Copyright 2019 Pete Olcott All rights reserved

"Great spirits have always encountered violent
opposition from mediocre minds." Albert Einstein

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#19331 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromJuha Nieminen <nospam@thanks.invalid>
Date2019-09-19 17:54 +0000
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<qm0fd9$2f2u$1@adenine.netfront.net>
In reply to#19319
In comp.lang.c++ peteolcott <Here@home> wrote:
> On 9/18/2019 4:34 PM, Juha Nieminen wrote:
>> In comp.lang.c++ peteolcott <Here@home> wrote:
>>> THERE IS A POINT ON THE NUMBER LINE IMMEDIATELY ADJACENT TO 0
>> 
>> Ok, what is that number?
>> 
> 
> It is the Infinitesimal Number 0.0[1] one point offset from 0.0.

What are the properties of that number that make it different from 0?

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#19332 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

Frompeteolcott <Here@Home>
Date2019-09-19 13:26 -0500
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<F_qdnSKXx8HMVR7AnZ2dnUU7-TfNnZ2d@giganews.com>
In reply to#19331
On 9/19/2019 12:54 PM, Juha Nieminen wrote:
> In comp.lang.c++ peteolcott <Here@home> wrote:
>> On 9/18/2019 4:34 PM, Juha Nieminen wrote:
>>> In comp.lang.c++ peteolcott <Here@home> wrote:
>>>> THERE IS A POINT ON THE NUMBER LINE IMMEDIATELY ADJACENT TO 0
>>>
>>> Ok, what is that number?
>>>
>>
>> It is the Infinitesimal Number 0.0[1] one point offset from 0.0.
> 
> What are the properties of that number that make it different from 0?
> 

[0, 1] - (0, 1] = {0} the first interval has exactly one point that the
second interval does not have, making the first interval Infinitesimally
longer than the second one.

The first interval begins at 0.0[0] and
The second interval begins at 0.0[1].


-- 
Copyright 2019 Pete Olcott All rights reserved

"Great spirits have always encountered violent
opposition from mediocre minds." Albert Einstein

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#19358 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromJuha Nieminen <nospam@thanks.invalid>
Date2019-09-20 08:06 +0000
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<qm219l$1gk5$1@adenine.netfront.net>
In reply to#19332
In comp.lang.c++ peteolcott <Here@home> wrote:
>> What are the properties of that number that make it different from 0?
>> 
> 
> [0, 1] - (0, 1] = {0} the first interval has exactly one point that the
> second interval does not have, making the first interval Infinitesimally
> longer than the second one.
> 
> The first interval begins at 0.0[0] and
> The second interval begins at 0.0[1].

You didn't give a single property of that number. You only made claims
about an interval.

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#19342 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromSiri Cruise <chine.bleu@yahoo.com>
Date2019-09-19 13:37 -0700
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<chine.bleu-D7B704.13370419092019@reader.eternal-september.org>
In reply to#19293
In article <PYKdnZj3lqVg2x_AnZ2dnUU7-IWdnZ2d@giganews.com>,
 peteolcott <Here@Home> wrote:

> On 9/18/2019 2:35 AM, Juha Nieminen wrote:
> > In comp.lang.c++ peteolcott <Here@home> wrote:
> >>> There is no "smallest real number larger than 0". Learn some number
> >>> theory, will you?
> >>>
> >>
> >> Keith Thompson proves that he fully understands the Infinitesimal
> >> number system:
> > 
> > Are you capable of understanding the "proof by contradiction" method in
> > mathematics?
> > 
> > Incidentally, the fact that there's no "smallest real number larger than 0"
> > is one of the *classical* simple examples of applying proof by
> > contradiction.
> > 
> > "Infinitesimals", no matter how you define them, do not help here. You
> > repeating your claims a million times does not change that fact.
> > 
> 
> YES OF COURSE NOTHING HELPS WHEN YOU DON'T BOTHER TO READ WHAT IS SAID
> 
> THERE IS A POINT ON THE NUMBER LINE IMMEDIATELY ADJACENT TO 0
> On 9/16/2019 11:38 PM, Keith Thompson wrote:
>  > we can define "iota" as an infinitesimal, something that is not a
>  > real number but that has a location on the number line, directly
>  > adjacent to the real number 0.  It is greater than 0 and less than
>  > any positive real number.

Unless you can prove the set of numbers satisfying this definition is finite, 
all you're doing is adding another infinite set to the issue. 

Hint: it's an infinite set.

-- 
:-<> Siri Seal of Disavowal #000-001. Disavowed. Denied. Deleted.    @
'I desire mercy, not sacrifice.'                                    /|\
The first law of discordiamism: The more energy   This post         / \
to make order is nore energy made into entropy.   insults Islam.  Mohammed

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#19344 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

Frompeteolcott <Here@Home>
Date2019-09-19 16:07 -0500
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<m6ydnRGwy51ucB7AnZ2dnUU7-KudnZ2d@giganews.com>
In reply to#19342
On 9/19/2019 3:37 PM, Siri Cruise wrote:
> In article <PYKdnZj3lqVg2x_AnZ2dnUU7-IWdnZ2d@giganews.com>,
>   peteolcott <Here@Home> wrote:
> 
>> On 9/18/2019 2:35 AM, Juha Nieminen wrote:
>>> In comp.lang.c++ peteolcott <Here@home> wrote:
>>>>> There is no "smallest real number larger than 0". Learn some number
>>>>> theory, will you?
>>>>>
>>>>
>>>> Keith Thompson proves that he fully understands the Infinitesimal
>>>> number system:
>>>
>>> Are you capable of understanding the "proof by contradiction" method in
>>> mathematics?
>>>
>>> Incidentally, the fact that there's no "smallest real number larger than 0"
>>> is one of the *classical* simple examples of applying proof by
>>> contradiction.
>>>
>>> "Infinitesimals", no matter how you define them, do not help here. You
>>> repeating your claims a million times does not change that fact.
>>>
>>
>> YES OF COURSE NOTHING HELPS WHEN YOU DON'T BOTHER TO READ WHAT IS SAID
>>
>> THERE IS A POINT ON THE NUMBER LINE IMMEDIATELY ADJACENT TO 0
>> On 9/16/2019 11:38 PM, Keith Thompson wrote:
>>   > we can define "iota" as an infinitesimal, something that is not a
>>   > real number but that has a location on the number line, directly
>>   > adjacent to the real number 0.  It is greater than 0 and less than
>>   > any positive real number.
> 
> Unless you can prove the set of numbers satisfying this definition is finite,
> all you're doing is adding another infinite set to the issue.
> 
> Hint: it's an infinite set.
> 

If all of the points on the number line can be counted using integers
then all infinite sets have the same cardinality.

-- 
Copyright 2019 Pete Olcott All rights reserved

"Great spirits have always encountered violent
opposition from mediocre minds." Albert Einstein

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#19346 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromSiri Cruise <chine.bleu@yahoo.com>
Date2019-09-19 15:04 -0700
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<chine.bleu-22793B.15040719092019@reader.eternal-september.org>
In reply to#19344
In article <m6ydnRGwy51ucB7AnZ2dnUU7-KudnZ2d@giganews.com>,
 peteolcott <Here@Home> wrote:

> If all of the points on the number line can be counted using integers
> then all infinite sets have the same cardinality.

They can't be.

-- 
:-<> Siri Seal of Disavowal #000-001. Disavowed. Denied. Deleted.    @
'I desire mercy, not sacrifice.'                                    /|\
The first law of discordiamism: The more energy   This post         / \
to make order is nore energy made into entropy.   insults Islam.  Mohammed

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#19349 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

Frompeteolcott <Here@Home>
Date2019-09-19 17:32 -0500
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<d6udncquBISMnxnAnZ2dnUU7-a2dnZ2d@giganews.com>
In reply to#19346
On 9/19/2019 5:04 PM, Siri Cruise wrote:
> In article <m6ydnRGwy51ucB7AnZ2dnUU7-KudnZ2d@giganews.com>,
>   peteolcott <Here@Home> wrote:
> 
>> If all of the points on the number line can be counted using integers
>> then all infinite sets have the same cardinality.
> 
> They can't be.
> 

I already proved this in other replies to you.

-- 
Copyright 2019 Pete Olcott All rights reserved

"Great spirits have always encountered violent
opposition from mediocre minds." Albert Einstein

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#19359 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromJuha Nieminen <nospam@thanks.invalid>
Date2019-09-20 08:10 +0000
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<qm21he$1gk5$2@adenine.netfront.net>
In reply to#19349
In comp.lang.c++ peteolcott <Here@home> wrote:
> On 9/19/2019 5:04 PM, Siri Cruise wrote:
>> In article <m6ydnRGwy51ucB7AnZ2dnUU7-KudnZ2d@giganews.com>,
>>   peteolcott <Here@Home> wrote:
>> 
>>> If all of the points on the number line can be counted using integers
>>> then all infinite sets have the same cardinality.
>> 
>> They can't be.
>> 
> 
> I already proved this in other replies to you.

No, you didn't. Making a claim is not a mathematical proof.

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#19341 — Re: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]

FromSiri Cruise <chine.bleu@yahoo.com>
Date2019-09-19 13:33 -0700
SubjectRe: Provably unprovable eliminates incompleteness [ All infinite sets have the same cardinality ]
Message-ID<chine.bleu-228BC9.13325719092019@reader.eternal-september.org>
In reply to#19244
In article <O9udnZdFPogAkBzAnZ2dnUU7-c3NnZ2d@giganews.com>,
 peteolcott <Here@Home> wrote:

> Keith Thompson proves that he fully understands the Infinitesimal
> number system:
> 
> On 9/16/2019 11:38 PM, Keith Thompson wrote:
>  > I can imagine that *this* set has a least element.  For example
>  > we can define "iota" as an infinitesimal, something that is not a
>  > real number but that has a location on the number line, directly
>  > adjacent to the real number 0.  It is greater than 0 and less than
>  > any positive real number.

iota > iota^2 > iota^3 > ...

> He elaborates this understanding much more completely in his
> 9/16/2019 11:38 PM, reply.

Infinitesimals cannot be reals. A couple of centuries ago it was shown this 
leads to inconsistency. Recently nonstandard analysis has reintroduced 
infinitesimals and their reciprocals. Positive infinitesimals are an infinite 
set each greater than zero and less than any positive real. Their reciprocals 
are greater than any real number and defined since infinitesimals are nonzero.

Note that for an infinitesimal dx, dx > dx^2 > dx^3 > ... . So with the usual < 
infinitesimals also lack a minimum element. Choice assumes an order exists, but 
we haven't found it.

-- 
:-<> Siri Seal of Disavowal #000-001. Disavowed. Denied. Deleted.    @
'I desire mercy, not sacrifice.'                                    /|\
The first law of discordiamism: The more energy   This post         / \
to make order is nore energy made into entropy.   insults Islam.  Mohammed

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