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Groups > sci.math > #416035 > unrolled thread

In the Binary Tree there ...

Started byWM <wolfgang.mueckenheim@hs-augsburg.de>
First post2018-06-22 07:36 -0700
Last post2018-07-05 14:08 +0200
Articles 20 on this page of 638 — 20 participants

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Contents

  In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 07:36 -0700
    Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 07:46 -0700
    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:00 -0700
      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:07 -0700
        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:12 -0700
          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:21 -0700
            Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 08:33 -0700
    Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 08:05 -0700
      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 08:50 -0700
        Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 09:26 -0700
          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 09:36 -0700
            Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 09:41 -0700
              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 09:49 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 10:16 -0700
                Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 10:23 -0700
                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 11:43 -0700
                    Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 12:07 -0700
                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-23 03:11 -0700
                        Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-23 06:10 -0700
                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 13:11 -0700
                      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 13:19 -0700
                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-23 03:11 -0700
                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 04:55 -0700
                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 05:01 -0700
                            Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-23 06:40 -0700
                              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 07:10 -0700
                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 07:13 -0700
            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-22 18:47 -0500
              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-23 03:11 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-23 07:32 -0500
                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-23 06:19 -0700
                    Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-24 09:26 -0500
                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-24 07:44 -0700
                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 08:00 -0700
                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 08:05 -0700
                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-24 08:14 -0700
                            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 08:27 -0700
                              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 08:36 -0700
                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 09:00 -0700
                        Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-25 20:46 -0500
                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-26 04:10 -0700
                            Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-26 13:34 -0700
                              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 13:38 -0700
                                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-26 14:01 -0700
                                  Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 14:14 -0700
                                  Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 14:23 -0700
                                    Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 14:26 -0700
                                      Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-26 14:38 -0700
                                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 15:24 -0700
                                          Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 15:28 -0700
                                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 15:33 -0700
                                            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 15:51 -0700
                                              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 15:59 -0700
                                            Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 16:09 -0700
                                              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 16:23 -0700
                                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 16:29 -0700
                                                  Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 16:35 -0700
                                                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 16:47 -0700
                                                      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 16:51 -0700
                                                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 16:53 -0700
                                                      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 17:01 -0700
                                                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:14 -0700
                                                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:20 -0700
                                                            Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 17:27 -0700
                                                            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:29 -0700
                                                              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:35 -0700
                                                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:39 -0700
                                                                  Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:52 -0700
                                                                    Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 19:02 -0700
                                                                      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 19:33 -0700
                                                                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-27 00:58 -0700
                                                                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-27 01:03 -0700
                                                                          Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-27 06:54 -0700
                                                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 17:19 -0700
                                            Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-26 20:48 -0700
                                              Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 21:13 -0700
                                    Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-26 14:33 -0700
                                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 14:34 -0700
                                      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 14:49 -0700
                                        Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-26 23:54 +0200
                              Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 14:00 -0700
                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-26 18:28 -0500
                              Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-27 06:49 -0700
                                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-27 07:05 -0700
                                  Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-27 07:44 -0700
                                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-27 07:53 -0700
                                      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-27 08:07 -0700
                                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-27 08:39 -0700
                                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-27 18:24 -0500
                                  Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-28 06:56 -0700
                                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-28 07:00 -0700
                                    Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-28 15:58 -0500
                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-29 06:23 -0700
                                        Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-29 18:40 -0500
                                          Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-30 06:57 -0700
                                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-30 09:37 -0500
                          Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-26 05:41 -0700
                            Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-26 06:33 -0700
                              Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-26 06:39 -0700
                                Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-26 07:05 -0700
                            Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-06-26 16:38 +0100
                              Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-26 09:13 -0700
                                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-26 18:32 -0500
                                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-06-27 15:00 +0100
                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-26 18:31 -0500
                              Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-26 20:56 -0700
                                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-27 18:25 -0500
                      Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-24 20:16 -0700
                        Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-24 20:21 -0700
    Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-22 17:33 +0200
      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:42 -0700
        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:48 -0700
          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 09:03 -0700
            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 09:12 -0700
              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 09:41 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 09:50 -0700
                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 09:56 -0700
                    Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-22 19:16 +0200
                      Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-22 19:23 +0200
      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 08:58 -0700
        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 09:00 -0700
    Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-22 22:28 +0200
      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 18:57 -0700
        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 19:27 -0700
          Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:28 -0700
            Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-23 10:04 -0700
              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 10:51 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-23 11:02 -0700
                  Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 11:04 -0700
                    Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-23 11:10 -0700
                      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 11:52 -0700
                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-23 21:37 -0700
                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 03:42 -0700
                            Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 11:39 -0700
                              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 11:55 -0700
                                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 12:02 -0700
              Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 11:46 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 12:00 -0700
                  Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 12:39 -0700
                    Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 12:58 -0700
                      Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 13:09 -0700
                      Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 13:11 -0700
                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 14:13 -0700
                          Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 14:34 -0700
                            Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 14:58 -0700
                              Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 15:02 -0700
                                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 15:12 -0700
                                  Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 15:14 -0700
                                    Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 15:30 -0700
                                      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 16:01 -0700
                                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 22:00 -0700
          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 20:28 -0700
            Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:29 -0700
              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 20:31 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:33 -0700
                  Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 20:34 -0700
                    Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:35 -0700
                      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 20:36 -0700
                        Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:39 -0700
                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 20:41 -0700
                            Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:45 -0700
            Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 22:16 -0700
    Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:21 -0700
    Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-23 05:47 +0200
      Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:50 -0700
        Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-23 05:54 +0200
          Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:59 -0700
            Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-23 06:02 +0200
    Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-06-24 22:58 -0700
      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-25 02:42 -0700
        Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-06-25 22:50 -0700
          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-26 04:12 -0700
            Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-06-26 23:05 -0700
              Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-27 06:42 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-27 18:26 -0500
                  Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-28 06:53 -0700
                    Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-28 16:00 -0500
                      Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-28 14:17 -0700
                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-28 14:55 -0700
                        Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-06-29 02:04 +0200
                        Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-28 19:36 -0500
                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-29 06:30 -0700
                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-29 18:45 -0500
                              Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-30 06:57 -0700
                              Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-30 07:03 -0700
                                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-30 09:42 -0500
                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-30 14:41 -0700
                                    Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-30 22:45 -0500
                                      Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-30 21:56 -0700
                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-01 04:14 -0700
                                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-01 12:57 -0700
                                          Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-01 13:05 -0700
                                            Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 05:04 -0700
                                              Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-02 08:04 -0700
                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 05:04 -0700
                                            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 06:13 -0700
                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 06:39 -0700
                                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 06:54 -0700
                                                  Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 06:59 -0700
                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 07:34 -0700
                                                    Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-02 08:25 -0700
                                                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 10:22 -0700
                                                      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 10:35 -0700
                                                        Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 11:38 -0700
                                                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-02 11:44 -0700
                                                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 18:13 -0700
                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 11:38 -0700
                                        Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-01 20:37 -0500
                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 11:39 -0700
                                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-02 18:50 -0500
                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-03 05:49 -0700
                                                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-03 19:26 -0500
                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-04 04:26 -0700
                                                    Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-04 20:31 -0500
                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 03:50 -0700
                                                        Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-05 06:22 -0500
                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 14:17 -0700
                                                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-05 17:24 -0500
                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 03:38 -0700
                                                                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-06 18:23 -0500
                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-07 03:25 -0700
                                                                    Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-07 16:41 -0500
                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-08 05:20 -0700
                                                                        Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-08 21:42 -0500
                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-09 05:09 -0700
                                                                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-09 18:40 -0500
                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-10 01:47 -0700
                                                                                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-10 18:26 -0500
                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 05:48 -0700
                                                                                    Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-11 11:21 -0500
                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 09:53 -0700
                                                                                        Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-11 17:06 -0500
                                                                                          Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-11 21:50 -0700
                                                                                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-12 14:51 -0500
                                                                                              Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-12 13:22 -0700
                                                                                                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-12 20:43 -0700
                                                                                                  Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-13 10:54 +0100
                                                                                                    Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 04:17 -0700
                                                                                                      Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-13 12:34 +0100
                                                                                                        Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 04:49 -0700
                                                                                                        Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 04:51 -0700
                                                                                                          Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 05:06 -0700
                                                                                                            Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-13 15:17 +0200
                                                                                                    Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-13 04:46 -0700
                                                                                                  Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-13 14:38 -0700
                                                                                                    Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-13 14:46 -0700
                                                                                                    Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-13 14:56 -0700
                                                                                                      Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 15:23 -0700
                                                                                                    Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 15:15 -0700
                                                                                                      Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-13 15:39 -0700
                                                                                                        Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-14 05:14 -0700
                                                                                                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-14 06:52 -0700
                                                                                                            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-14 06:54 -0700
                                                                                                              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-14 06:58 -0700
                                                                                                            Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-14 09:52 -0700
                                                                                                              Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-16 15:47 +0100
                                                                                                          Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-24 22:48 -0700
                                                                                                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-13 12:03 -0700
                                                                                                  Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-13 22:19 -0700
                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-13 04:41 -0700
                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-12 05:49 -0700
                                                                                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-12 14:53 -0500
                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-13 04:41 -0700
                                                                                                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-14 15:57 -0500
                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-15 04:38 -0700
                                                                                                    Re: In the Binary Tree there ... jrennenkampff@googlemail.com - 2018-07-15 05:39 -0700
                                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-15 06:30 -0700
                                                                                                    Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-15 15:32 -0700
                                                                                                    Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-15 22:06 -0500
                                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-16 05:00 -0700
                                                                                                        Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-16 07:51 -0500
                                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-16 06:12 -0700
                                                                                                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-16 15:58 -0500
                                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-17 05:27 -0700
                                                                                                                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-18 21:03 -0500
                                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-19 06:10 -0700
                                                                                                                    Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-19 22:03 -0500
                                                                                                                      Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-20 03:15 -0700
                                                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-20 05:12 -0700
                                                                                                                        Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-20 07:30 -0500
                                                                                                                        Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-20 13:52 -0700
                                                                                                                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-20 14:20 -0700
                                                                                        Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-11 21:38 -0700
                                                                                          Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-11 21:44 -0700
                                                                            Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-11 06:45 -0700
                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 08:13 -0700
                                                                                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-15 01:44 -0700
                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-15 04:38 -0700
                                                                                    Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-15 21:10 -0700
                                                                                      Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-15 21:21 -0700
                                                                                        Re: In the Binary Tree there ... FromTheRafters <erratic@nomail.afraid.org> - 2018-07-16 09:21 -0400
                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-16 06:48 -0700
                                                                                            Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-16 13:35 -0700
                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-17 05:20 -0700
                                                                                                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-17 05:29 -0700
                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-17 10:53 -0700
                                                                                                    Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-17 11:31 -0700
                                                                                                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-17 22:39 -0700
                                                                                                  Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-17 22:47 -0700
                                                                                                    Re: In the Binary Tree there ... FromTheRafters <erratic@nomail.afraid.org> - 2018-07-18 06:17 -0400
                                                                                                      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 09:16 -0700
                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-18 06:12 -0700
                                                                                                    Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-18 17:11 +0100
                                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-19 05:37 -0700
                                                                                                        Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-20 12:20 +0100
                                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-20 05:03 -0700
                                                                                                            Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-20 14:33 +0100
                                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-20 11:41 -0700
                                                                                                                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-21 20:58 +0100
                                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-22 06:16 -0700
                                                                                                                    Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-22 15:49 +0100
                                                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-23 06:21 -0700
                                                                                                                        Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-23 14:52 +0100
                                                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-23 10:12 -0700
                                                                                                                            Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-23 18:38 +0100
                                                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-24 06:58 -0700
                                                                                                                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-24 13:47 -0700
                                                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-25 04:26 -0700
                                                                                                                                    Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-25 14:02 +0100
                                                                                                                                      Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-25 06:20 -0700
                                                                                                                                        Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-25 16:41 +0100
                                                                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-25 09:45 -0700
                                                                                                                                            Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-25 19:42 +0100
                                                                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-26 03:52 -0700
                                                                                                                                                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-26 14:36 +0100
                                                                                                                                                  Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 07:26 -0700
                                                                                                                                                    Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-26 15:36 +0100
                                                                                                                                                      Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 09:38 -0700
                                                                                                                                                      Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-07-26 11:37 -0700
                                                                                                                                                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-26 12:21 -0700
                                                                                                                                                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-26 14:35 -0700
                                                                                                                                                            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-26 14:41 -0700
                                                                                                                                                              Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-26 15:13 -0700
                                                                                                                                                    Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 16:42 +0200
                                                                                                                                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-25 12:35 -0700
                                                                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-26 03:50 -0700
                                                                                                                                Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-24 19:03 -0700
                                                                                                                                  Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-24 20:23 -0700
                                                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-25 04:35 -0700
                                                                                                                                    Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-25 13:45 +0200
                                                                                                                                      Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-25 06:24 -0700
                                                                                                                                        Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-25 15:29 +0200
                                                                                                                                        Re: In the Binary Tree there ... Jürgen R. <jurgenr@web.de> - 2018-07-25 21:51 +0200
                                                                                                                                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-25 12:57 -0700
                                                                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-26 03:47 -0700
                                                                                                                                            Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 12:58 +0200
                                                                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-26 05:32 -0700
                                                                                                                                                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 14:36 +0200
                                                                                                                                                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 14:40 +0200
                                                                                                                                                  Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-26 06:56 -0700
                                                                                                                                                    Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 07:28 -0700
                                                                                                                                                      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-26 07:32 -0700
                                                                                                                                                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-26 14:24 +0100
                                                                                                                                                  Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 07:26 -0700
                                                                                                                                                    Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-26 15:43 +0100
                                                                                                                                                      Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 09:38 -0700
                                                                                                                                                        Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 18:46 +0200
                                                                                                                                                        Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 18:50 +0200
                                                                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-26 05:36 -0700
                                                                                                                                                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 14:42 +0200
                                                                                                                                                  Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 07:30 -0700
                                                                                                                                                    Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 16:41 +0200
                                                                                                                                                Re: In the Binary Tree there ... jrennenkampff@googlemail.com - 2018-07-27 05:34 -0700
                                                                                                                                                  Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-27 06:43 -0700
                                                                                                                                                    Re: In the Binary Tree there ... jrennenkampff@googlemail.com - 2018-07-29 04:14 -0700
                                                                                                                                        Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-25 14:02 -0700
                                                                                                                                          Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-25 14:13 -0700
                                                                                                                                    Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-26 11:33 -0700
                                                                                                                                      Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-27 04:17 -0700
                                                                                                                                        Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-27 12:03 -0700
                                                                                                                                          Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-27 13:03 -0700
                                                                                                                                          Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-28 05:58 -0700
                                                                                                                                            Re: In the Binary Tree there ... Zeit Geist <Tucsondrew@me.com> - 2018-07-28 14:15 -0700
                                                                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-29 04:06 -0700
                                                                                                                                                Re: In the Binary Tree there ... Zeit Geist <Tucsondrew@me.com> - 2018-07-29 12:27 -0700
                                                                                                                                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 01:35 -0700
                                                                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-30 04:39 -0700
                                                                                                                                                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 07:32 -0700
                                                                                                                                                      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 07:39 -0700
                                                                                                                                                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 07:46 -0700
                                                                                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-30 09:09 -0700
                                                                                                                                                        Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-30 18:15 +0200
                                                                                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-30 11:36 -0700
                                                                                                                                                            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 11:45 -0700
                                                                                                                                                              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 11:48 -0700
                                                                                                                                                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 12:03 -0700
                                                                                                                                                                  Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 12:11 -0700
                                                                                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-31 04:05 -0700
                                                                                                                                                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 04:48 -0700
                                                                                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-31 05:25 -0700
                                                                                                                                                                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 10:02 -0700
                                                                                                                                                                  Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-31 12:47 -0700
                                                                                                                                                                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 12:59 -0700
                                                                                                                                                                      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-31 14:01 -0700
                                                                                                                                                                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 14:27 -0700
                                                                                                                                                                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 15:10 -0700
                                                                                                                                                                          Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-31 15:51 -0700
                                                                                                                                                                            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 17:14 -0700
                                                                                                                                                                              Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-31 20:44 -0700
                                                                                                                                                            Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-31 14:45 +0200
                                                                                                                                            Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-28 16:12 -0700
                                                                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-29 04:40 -0700
                                                                                                                                                Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-07-29 11:55 -0700
                                                                                                                                                Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-29 22:19 -0700
                                                                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-30 04:38 -0700
                                                                                                                                                    Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-30 13:48 -0700
                                                                                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-31 04:15 -0700
                                                                                                                                                        Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-31 14:42 +0200
                                                                                                                                                        Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-31 20:52 -0700
                                                                                                                                                          Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-08-01 03:50 -0700
                                                                                                                                                            Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-08-01 22:14 -0700
                                                                                                                                                              Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-08-02 16:29 -0700
                                                                                                                                                                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-08-02 16:35 -0700
                                                                                                                                                                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-08-02 22:55 -0700
                                                                                                                                                                  Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-08-03 11:59 +0200
                                                                                                                                                                    Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-08-03 09:46 -0700
                                                                                                                                                                      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-08-03 11:04 -0700
                                                                                                                                                          Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-08-01 22:10 -0700
                                                                                                                                        Re: In the Binary Tree there ... Zeit Geist <Tucsondrew@me.com> - 2018-07-27 14:38 -0700
                                                                                                                                          Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-28 05:44 -0700
                                                                                                                                            Re: In the Binary Tree there ... Zeit Geist <Tucsondrew@me.com> - 2018-07-28 14:12 -0700
                                                                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-29 04:06 -0700
                                                                                                                                                Re: In the Binary Tree there ... Zeit Geist <Tucsondrew@me.com> - 2018-07-29 12:29 -0700
                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-16 05:05 -0700
                                                                                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-16 05:12 -0700
                                                                                        Re: In the Binary Tree there ... jrennenkampff@googlemail.com - 2018-07-16 05:27 -0700
                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-16 06:07 -0700
                                                                                        Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-16 23:08 -0700
                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-17 06:24 -0700
                                                                                            Re: In the Binary Tree there ... Mike Hart <gmoralesor@gmail.com> - 2018-07-17 08:42 -0700
                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-17 10:52 -0700
                                                                                            Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-17 16:25 -0700
                                                                                              Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-17 23:28 -0700
                                                                                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 05:16 -0700
                                                                                                  Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 05:29 -0700
                                                                                                    Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 09:45 -0700
                                                                                                      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 12:12 -0700
                                                                                                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 12:17 -0700
                                                                                                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 12:30 -0700
                                                                                                            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 12:46 -0700
                                                                                                            Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 12:47 -0700
                                                                                                              Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 12:59 -0700
                                                                                                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 13:27 -0700
                                                                                                                  Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 13:30 -0700
                                                                                                                  Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 13:43 -0700
                                                                                                                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 14:27 -0700
                                                                                                                      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 14:31 -0700
                                                                                                                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 15:10 -0700
                                                                                                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 12:42 -0700
                                                          Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-05 20:51 -0700
                                                            Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 03:46 -0700
                                                              Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-06 13:02 -0700
                                                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-06 18:25 -0500
                                                              Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-06 16:29 -0700
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-06-27 22:27 -0700
                  Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-28 06:52 -0700
                    Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-28 14:25 -0700
                      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-28 16:21 -0700
                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-29 06:30 -0700
                        Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-30 21:54 -0700
                          Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-07-01 11:37 -0700
                            Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-02 13:10 -0700
                              Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-07-02 14:38 -0700
                                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-02 14:47 -0700
                                  Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-07-02 18:06 -0700
                                    Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-21 15:22 -0700
                    Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-06-28 22:37 -0700
                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-29 06:36 -0700
                        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-29 07:45 -0700
                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-29 07:52 -0700
                            Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-29 12:57 -0700
                              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-29 16:56 -0700
                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-29 17:01 -0700
                                  Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-29 18:23 -0700
                                    Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-06-30 14:47 +0200
                                      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-30 09:46 -0700
                                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-30 07:13 -0700
                        Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-03 02:09 -0700
                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-03 06:03 -0700
                            Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-03 15:11 +0200
                            Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-04 01:50 -0700
                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-04 04:30 -0700
                                Re: In the Binary Tree there ... jrennenkampff@googlemail.com - 2018-07-04 05:06 -0700
                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 03:45 -0700
                                    Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-05 20:53 -0700
                                      Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-05 20:58 -0700
                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 03:46 -0700
                                        Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-06 13:06 -0700
                                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-05 01:51 -0700
                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 03:54 -0700
                                    Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-05 04:55 -0700
                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 14:20 -0700
                                        Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-06 02:31 +0200
                                        Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-06 02:18 -0700
                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 03:54 -0700
    Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-04 20:37 -0700
      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 04:04 -0700
        Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-05 04:26 -0700
          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 14:10 -0700
            Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-05 16:26 -0700
              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 03:42 -0700
                Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-06 08:03 -0700
                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 11:40 -0700
                    Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-06 12:03 -0700
                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 14:24 -0700
                        Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-06 15:18 -0700
                        Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-06 15:41 -0700
                          Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-06 15:59 -0700
                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-07 03:42 -0700
                            Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-07 05:40 -0700
                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-07 06:18 -0700
                                Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-07 06:52 -0700
                                Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-07 07:03 -0700
                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-07 10:21 -0700
                                    Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-07 12:18 -0700
                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-08 05:09 -0700
                                        Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-08 07:53 -0700
                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-08 08:17 -0700
                                            Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-08 17:29 +0200
                                            Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-08 09:07 -0700
                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-08 09:50 -0700
                                                Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-08 10:45 -0700
                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-09 04:58 -0700
                                                    Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-09 14:31 +0200
                                                    Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-09 07:42 -0700
                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-09 08:45 -0700
                                                        Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-09 08:59 -0700
                                                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-09 09:21 -0700
                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-10 01:47 -0700
                                                            Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-10 08:11 -0700
                                                            Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-10 13:01 -0700
                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 05:37 -0700
                                                                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-11 14:00 -0700
                                                            Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-10 13:24 -0700
                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 05:57 -0700
                                                                Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-11 07:02 -0700
                                                                Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-11 07:19 -0700
                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 08:15 -0700
                                                                    Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-11 08:46 -0700
                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 09:54 -0700
                                                                        Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-11 10:31 -0700
                                                        Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-09 10:12 -0700
                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-10 01:54 -0700
                                                            Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-10 15:33 +0100
                                                              Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-10 07:45 -0700
                                                                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-10 16:50 +0200
                                                                  Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-10 08:00 -0700
                                                                    Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-10 17:05 +0200
                                                                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-10 16:11 +0100
                                                                  Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-10 08:22 -0700
                                                                    Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-10 08:34 -0700
                                                                      Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-11 19:06 +0100
                                                                    Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-10 16:58 +0100
                                                                      Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-10 09:03 -0700
                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 05:34 -0700
                                                                    Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-11 15:29 +0100
                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 08:31 -0700
                                                                        Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-11 17:02 +0100
                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 09:44 -0700
                                                                            Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-17 13:56 +0100
                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-17 11:04 -0700
                                                                                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-17 19:38 +0100
                                                                                  Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-17 11:52 -0700
                                                                                    Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-18 16:53 +0100
                                                                                      Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-07-18 09:46 -0700
                                                                                      Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-18 10:05 -0700
                                                                                        Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-18 18:54 +0100
                                                                                          Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-18 11:16 -0700
                                                                                            Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 11:42 -0700
                                                                                              Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 13:14 -0700
                                                                                            Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-19 02:02 +0200
                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-19 05:28 -0700
                                                                                        Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-19 13:40 -0700
                                                                                        Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-20 11:54 +0100
                                                                                          Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-20 04:41 -0700
                                                                                            Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-20 13:01 +0100
                                                                                              Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-20 10:27 -0700
                                                                                                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-21 20:49 +0100
                                                                                                  Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-22 23:51 -0700
                                                                                                    Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-23 14:45 +0100
                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-20 05:52 -0700
                                                                                            Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-20 14:36 +0100
                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-20 11:44 -0700
                                                                                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-20 11:56 -0700
                                                                                                  Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-20 13:25 -0700
                                                                                                  Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-20 13:33 -0700
                                                                                                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-21 21:11 +0100
                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-22 06:07 -0700
                                                                                                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-22 07:42 -0700
                                                                                    Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-18 16:00 -0700
                                                                                      Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-18 19:17 -0700
                                                                                        Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-18 19:19 -0700
                                                                                          Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-18 19:23 -0700
                                                                                            Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-19 22:05 -0500
                                                                                              Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-20 03:12 -0700
                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-18 05:58 -0700
                                                                                    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 06:19 -0700
                                                                                      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 06:28 -0700
                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-19 05:28 -0700
                                                                                        Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-19 13:42 -0700
                                                                                          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-19 13:55 -0700
                                                                                            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-19 14:05 -0700
                                                                                              Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-19 14:20 -0700
                                                                                                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-19 15:08 -0700
                                                                                                  Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-19 15:15 -0700
                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-20 05:43 -0700
                                                                                            Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-20 13:36 -0700
                                                                                    Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-18 17:04 +0100
                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-19 05:33 -0700
                                                                                        Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-20 12:08 +0100
                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-20 06:14 -0700
                                                                                            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-20 06:21 -0700
                                                                                            Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-20 16:04 +0100
                                                                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-20 11:53 -0700
                                                                                                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-21 21:21 +0100
                                                                                                  Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-22 05:59 -0700
                                                                                                    Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-22 15:39 +0100
                                                                                                      Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-23 06:21 -0700
                                                                                                        Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-23 15:10 +0100
                                                                                                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-23 10:19 -0700
                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-08 09:51 -0700
                                                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-08 10:50 -0700
                                                  Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-08 13:38 -0700
                                                    Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-08 14:03 -0700
                                                      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-08 15:19 -0700
                                                    Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-09 04:58 -0700
                                                      Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-09 22:28 -0700
                                                        Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-10 13:34 -0700
                                                          Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-10 14:47 -0700
                                            Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-09 01:34 -0700
                                              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-09 04:59 -0700
                                                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-11 06:44 -0700
                        Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-07 01:58 +0200
                          Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-07 03:27 -0700
            Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-06 11:32 +0100
              Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 03:53 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-06 12:27 +0100
        Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-05 14:08 +0200

Page 17 of 32 — ← Prev page 1 … 15 16 [17] 18 19 … 32  Next page →


#419124

FromAlan Smaill <smaill@SPAMinf.ed.ac.uk>
Date2018-07-25 16:41 +0100
Message-ID<fwewotjiaq6.fsf@foxtrot.inf.ed.ac.uk>
In reply to#419113
transfinity01@gmail.com writes:

> Am Mittwoch, 25. Juli 2018 15:05:07 UTC+2 schrieb Alan Smaill:
>> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
>> 
>> > Am Dienstag, 24. Juli 2018 22:47:38 UTC+2 schrieb burs...@gmail.com:
>> >> Cantors theorem holds independent
>> >> of the set that has a cardinality, is unbounded or not.
>> >
>> > No. The failure in pot. inf. is the reason why Cantor claimed finished
>> > infinity.
>> 
>> Evidence?
>
> A pot. inf. list is always finite. Construct the antidiagonal and
> append it. It is in the list. Now there is a new list. Construct the
> antidiagonal and append it. It is in the list. This process will never
> end. It is infinite. Only the assumption of a completed list can
> prevent that.

I asked for evidence that Cantor claimed finished infinity because
of the "failure in pot. inf.".

Try again.

>
> Regards, WM

-- 
Alan Smaill

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#419131

FromWM <wolfgang.mueckenheim@hs-augsburg.de>
Date2018-07-25 09:45 -0700
Message-ID<ed377b74-d771-47bf-ab4d-7314809dae9a@googlegroups.com>
In reply to#419124
Am Mittwoch, 25. Juli 2018 17:45:07 UTC+2 schrieb Alan Smaill:
> transfinity01@gmail.com writes:
> 
> > Am Mittwoch, 25. Juli 2018 15:05:07 UTC+2 schrieb Alan Smaill:
> >> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
> >> 
> >> > Am Dienstag, 24. Juli 2018 22:47:38 UTC+2 schrieb burs...@gmail.com:
> >> >> Cantors theorem holds independent
> >> >> of the set that has a cardinality, is unbounded or not.
> >> >
> >> > No. The failure in pot. inf. is the reason why Cantor claimed finished
> >> > infinity.
> >> 
> >> Evidence?
> >
> > A pot. inf. list is always finite. Construct the antidiagonal and
> > append it. It is in the list. Now there is a new list. Construct the
> > antidiagonal and append it. It is in the list. This process will never
> > end. It is infinite. Only the assumption of a completed list can
> > prevent that.
> 
> I asked for evidence that Cantor claimed finished infinity because
> of the "failure in pot. inf.".
> 
He knew what I said above, namely the failure in pot. inf.

Regards, WM

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#419142

FromAlan Smaill <smaill@SPAMinf.ed.ac.uk>
Date2018-07-25 19:42 +0100
Message-ID<fweo9evi2ca.fsf@foxtrot.inf.ed.ac.uk>
In reply to#419131
WM <wolfgang.mueckenheim@hs-augsburg.de> writes:

> Am Mittwoch, 25. Juli 2018 17:45:07 UTC+2 schrieb Alan Smaill:
>> transfinity01@gmail.com writes:
>> 
>> > Am Mittwoch, 25. Juli 2018 15:05:07 UTC+2 schrieb Alan Smaill:
>> >> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
>> >> 
>> >> > Am Dienstag, 24. Juli 2018 22:47:38 UTC+2 schrieb burs...@gmail.com:
>> >> >> Cantors theorem holds independent
>> >> >> of the set that has a cardinality, is unbounded or not.
>> >> >
>> >> > No. The failure in pot. inf. is the reason why Cantor claimed
>> >> > finished infinity.
>> >> 
>> >> Evidence?
>> >
>> > A pot. inf. list is always finite. Construct the antidiagonal and
>> > append it. It is in the list. Now there is a new list. Construct
>> > the antidiagonal and append it. It is in the list. This process
>> > will never end. It is infinite. Only the assumption of a completed
>> > list can prevent that.
>> 
>> I asked for evidence that Cantor claimed finished infinity because
>> of the "failure in pot. inf.".
>> 
> He knew what I said above, namely the failure in pot. inf.

Not convinced.

What evidence is there that he "knew" that this fails in the potentially
infinite case? That he accepted some version of your argument???

And what evidence that that was his reason for claiming completed infinity?

> Regards, WM
>

-- 
Alan Smaill

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#419205

FromWM <wolfgang.mueckenheim@hs-augsburg.de>
Date2018-07-26 03:52 -0700
Message-ID<84dcf30e-a035-448f-b26c-5cbcf3250992@googlegroups.com>
In reply to#419142
Am Mittwoch, 25. Juli 2018 20:45:07 UTC+2 schrieb Alan Smaill:
> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:


> >> I asked for evidence that Cantor claimed finished infinity because
> >> of the "failure in pot. inf.".
> >> 
> > He knew what I said above, namely the failure in pot. inf.
> 
> Not convinced.
> 
> What evidence is there that he "knew" that this fails in the potentially
> infinite case? That he accepted some version of your argument???

"In spite of significant difference between the notions of the potential and actual infinite, where the former is a variable finite magnitude, growing above all limits, the latter a constant quantity fixed in itself but beyond all finite magnitudes, it happens deplorably often that the one is confused with the other." [Cantor, p. 374]
> 
> And what evidence that that was his reason for claiming completed infinity?

A variable finite magnitude allows always to add the constructed antidiagonal.

Regards, WM

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#419219

FromAlan Smaill <smaill@SPAMinf.ed.ac.uk>
Date2018-07-26 14:36 +0100
Message-ID<fwewotiglv8.fsf@foxtrot.inf.ed.ac.uk>
In reply to#419205
WM <wolfgang.mueckenheim@hs-augsburg.de> writes:

Oh look, WM has snipped my post, so that no-one can tell what
failure in potentially infinity is at issue.

> Am Mittwoch, 25. Juli 2018 20:45:07 UTC+2 schrieb Alan Smaill:
>> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
>
>
>> >> I asked for evidence that Cantor claimed finished infinity because
>> >> of the "failure in pot. inf.".
>> >> 
>> > He knew what I said above, namely the failure in pot. inf.
>> 
>> Not convinced.
>> 
>> What evidence is there that he "knew" that this fails in the potentially
>> infinite case? That he accepted some version of your argument???
>
> "In spite of significant difference between the notions of the
> potential and actual infinite, where the former is a variable finite
> magnitude, growing above all limits, the latter a constant quantity
> fixed in itself but beyond all finite magnitudes, it happens
> deplorably often that the one is confused with the other." [Cantor,
> p. 374]

That shows that he accepts a distinct notion of  the potentially
infinite.

It does *not* show that he thought that Cantor's theorem fails in the
potentially infinite, as WM suggested.
It does *not* show that this was a reason for Cantor to intyroduce
transfinite numbers, as WM suggested.

>> And what evidence that that was his reason for claiming completed infinity?
>
> A variable finite magnitude allows always to add the constructed
> antidiagonal.

So you say.
But no evidence that WM's claim was under discussion at Cantor's time,
let alone accepted by anyone then.

>
> Regards, WM

-- 
Alan Smaill

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#419225

Fromtransfinity01@gmail.com
Date2018-07-26 07:26 -0700
Message-ID<8e9d2745-91dc-491d-8ab3-55d17685af13@googlegroups.com>
In reply to#419219
> > Am Mittwoch, 25. Juli 2018 20:45:07 UTC+2 schrieb Alan Smaill:
> >> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
> 
> >> What evidence is there that he "knew" that this fails in the potentially
> >> infinite case? That he accepted some version of your argument???
> >
> > "In spite of significant difference between the notions of the
> > potential and actual infinite, where the former is a variable finite
> > magnitude, growing above all limits, the latter a constant quantity
> > fixed in itself but beyond all finite magnitudes, it happens
> > deplorably often that the one is confused with the other." [Cantor,
> > p. 374]
> 
> That shows that he accepts a distinct notion of  the potentially
> infinite.
> 
> It does *not* show that he thought that Cantor's theorem fails in the
> potentially infinite, as WM suggested.

Okay, a bit brainwork would be required, but obviously not accomplished by you.

> > A variable finite magnitude allows always to add the constructed
> > antidiagonal.
> 
> So you say.

And you cannot understand it. What a pity.

> But no evidence that WM's claim was under discussion at Cantor's time,
> let alone accepted by anyone then.

Do you have any idea why he used finished infinity

Regards, WM

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#419230

FromAlan Smaill <smaill@SPAMinf.ed.ac.uk>
Date2018-07-26 15:36 +0100
Message-ID<fweeffqgj32.fsf@foxtrot.inf.ed.ac.uk>
In reply to#419225
transfinity01@gmail.com writes:

>> > Am Mittwoch, 25. Juli 2018 20:45:07 UTC+2 schrieb Alan Smaill:
>> >> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
>> 
>> >> What evidence is there that he "knew" that this fails in the
>> >> potentially infinite case? That he accepted some version of your
>> >> argument???
>> >
>> > "In spite of significant difference between the notions of the
>> > potential and actual infinite, where the former is a variable
>> > finite magnitude, growing above all limits, the latter a constant
>> > quantity fixed in itself but beyond all finite magnitudes, it
>> > happens deplorably often that the one is confused with the other."
>> > [Cantor, p. 374]
>> 
>> That shows that he accepts a distinct notion of  the potentially
>> infinite.
>> 
>> It does *not* show that he thought that Cantor's theorem fails in the
>> potentially infinite, as WM suggested.
>
> Okay, a bit brainwork would be required, but obviously not
> accomplished by you.

Your claim, your lack of evidence noted.

It also does not show that this was Cantor's reason for introducing
transfinite numbers.

>> > A variable finite magnitude allows always to add the constructed
>> > antidiagonal.
>> 
>> So you say.
>
> And you cannot understand it. What a pity.

So you say.

>> But no evidence that WM's claim was under discussion at Cantor's
>> time, let alone accepted by anyone then.
>
> Do you have any idea why he used finished infinity.

To consider a number that comes after each natural number, as he did,
naturally involves considering that already each natural number is
simultaneously present.

Simples!

>
> Regards, WM


-- 
Alan Smaill

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#419242

Fromtransfinity01@gmail.com
Date2018-07-26 09:38 -0700
Message-ID<6b2ed116-689e-498d-bfad-495ee1de6b82@googlegroups.com>
In reply to#419230
Am Donnerstag, 26. Juli 2018 16:40:07 UTC+2 schrieb Alan Smaill:
> transfinity01@gmail.com writes:


> >> > "In spite of significant difference between the notions of the
> >> > potential and actual infinite, where the former is a variable
> >> > finite magnitude, growing above all limits, the latter a constant
> >> > quantity fixed in itself but beyond all finite magnitudes, it
> >> > happens deplorably often that the one is confused with the other."
> >> > [Cantor, p. 374]
> >> 
> >> That shows that he accepts a distinct notion of  the potentially
> >> infinite.
> >> 
> >> It does *not* show that he thought that Cantor's theorem fails in the
> >> potentially infinite, as WM suggested.
> >
> > Okay, a bit brainwork would be required, but obviously not
> > accomplished by you.
> 
> Your claim, your lack of evidence noted.

Your lack of intelligence noted.

Regards, WM

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#419268

FromFredJeffries <fredjeffries@gmail.com>
Date2018-07-26 11:37 -0700
Message-ID<620a105c-0340-4ded-864b-97774d444b96@googlegroups.com>
In reply to#419230
On Thursday, July 26, 2018 at 7:40:07 AM UTC-7, Alan Smaill wrote:
> transfinity01@gmail.com writes:
> >
> > Do you have any idea why he used finished infinity.
> 
> To consider a number that comes after each natural number, as he did,
> naturally involves considering that already each natural number is
> simultaneously present.

Cantor's motivation for introducing transfinite ordinals is well documented and has been explained on this forum dozens of times by many posters: It was in order to investigate convergence of trigonometric series.  

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#419275

From"Ross A. Finlayson" <ross.finlayson@gmail.com>
Date2018-07-26 12:21 -0700
Message-ID<5a5ae807-c72e-4da9-8187-1b117a674e0d@googlegroups.com>
In reply to#419268
On Thursday, July 26, 2018 at 11:37:11 AM UTC-7, FredJeffries wrote:
> On Thursday, July 26, 2018 at 7:40:07 AM UTC-7, Alan Smaill wrote:
> > transfinity01@gmail.com writes:
> > >
> > > Do you have any idea why he used finished infinity.
> > 
> > To consider a number that comes after each natural number, as he did,
> > naturally involves considering that already each natural number is
> > simultaneously present.
> 
> Cantor's motivation for introducing transfinite ordinals is well documented and has been explained on this forum dozens of times by many posters: It was in order to investigate convergence of trigonometric series.

If you read Dauben on Cantor's philosophy, 
it also came out that ordinals were part 
of his intuitionist argument for the platonic 
existence of his cardinals, and about for 
example the "Transfinitum".

There are copies floating about the In-ter-net.

https://math.dartmouth.edu/~matc/Readers/HowManyAngels/Cantor/Cantor.html

How does Cantor know Liouville?

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#419295

Frombursejan@gmail.com
Date2018-07-26 14:35 -0700
Message-ID<664e362c-4f57-4133-b722-1e8d62e82a03@googlegroups.com>
In reply to#419275
I don't think it is a *copy* of something. Maybe
a HTML extra. If you want a *copy* check this:

GEORG CANTOR AND THE BATTLE FOR TRANSFINITE SET THEORY
Joseph W. Dauben
http://heavysideindustries.com/wp-content/uploads/2011/08/Dauben-Cantor.pdf

Am Donnerstag, 26. Juli 2018 21:21:43 UTC+2 schrieb Ross A. Finlayson:
> On Thursday, July 26, 2018 at 11:37:11 AM UTC-7, FredJeffries wrote:
> > On Thursday, July 26, 2018 at 7:40:07 AM UTC-7, Alan Smaill wrote:
> > > transfinity01@gmail.com writes:
> > > >
> > > > Do you have any idea why he used finished infinity.
> > > 
> > > To consider a number that comes after each natural number, as he did,
> > > naturally involves considering that already each natural number is
> > > simultaneously present.
> > 
> > Cantor's motivation for introducing transfinite ordinals is well documented and has been explained on this forum dozens of times by many posters: It was in order to investigate convergence of trigonometric series.
> 
> If you read Dauben on Cantor's philosophy, 
> it also came out that ordinals were part 
> of his intuitionist argument for the platonic 
> existence of his cardinals, and about for 
> example the "Transfinitum".
> 
> There are copies floating about the In-ter-net.
> 
> https://math.dartmouth.edu/~matc/Readers/HowManyAngels/Cantor/Cantor.html
> 
> How does Cantor know Liouville?

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#419296

Frombursejan@gmail.com
Date2018-07-26 14:41 -0700
Message-ID<27a8273b-2a19-42a7-b2cc-a2a7e6228f74@googlegroups.com>
In reply to#419295
Ok, he writes:

Much of the information presented here may be found 
in Joseph W. Dauben, Georg Cantor. His Mathematics and 
Philosophy of the Infinite. Cambridge, Mass.: Harvard
University Press, 1979; reprinted Princeton: Princeton 
University Press, 1990. Additional details depend on 
archival material drawn from archives in Gottingen and
Berlin, including the Deutsche Akademie der Wissenschaften 
(Berlin), the Deutsches Zentralarchiv in Merseburg, and the 
important holdings at the Institute Mittag-Leffler 
in Djursholm, Sweden.

So there are two versions...

Am Donnerstag, 26. Juli 2018 23:35:23 UTC+2 schrieb burs...@gmail.com:
> I don't think it is a *copy* of something. Maybe
> a HTML extra. If you want a *copy* check this:
> 
> GEORG CANTOR AND THE BATTLE FOR TRANSFINITE SET THEORY
> Joseph W. Dauben
> http://heavysideindustries.com/wp-content/uploads/2011/08/Dauben-Cantor.pdf
> 
> Am Donnerstag, 26. Juli 2018 21:21:43 UTC+2 schrieb Ross A. Finlayson:
> > On Thursday, July 26, 2018 at 11:37:11 AM UTC-7, FredJeffries wrote:
> > > On Thursday, July 26, 2018 at 7:40:07 AM UTC-7, Alan Smaill wrote:
> > > > transfinity01@gmail.com writes:
> > > > >
> > > > > Do you have any idea why he used finished infinity.
> > > > 
> > > > To consider a number that comes after each natural number, as he did,
> > > > naturally involves considering that already each natural number is
> > > > simultaneously present.
> > > 
> > > Cantor's motivation for introducing transfinite ordinals is well documented and has been explained on this forum dozens of times by many posters: It was in order to investigate convergence of trigonometric series.
> > 
> > If you read Dauben on Cantor's philosophy, 
> > it also came out that ordinals were part 
> > of his intuitionist argument for the platonic 
> > existence of his cardinals, and about for 
> > example the "Transfinitum".
> > 
> > There are copies floating about the In-ter-net.
> > 
> > https://math.dartmouth.edu/~matc/Readers/HowManyAngels/Cantor/Cantor.html
> > 
> > How does Cantor know Liouville?

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#419298

From"Ross A. Finlayson" <ross.finlayson@gmail.com>
Date2018-07-26 15:13 -0700
Message-ID<d92e1dd3-0371-40bf-a2f1-04836c2880ab@googlegroups.com>
In reply to#419296
On Thursday, July 26, 2018 at 2:41:39 PM UTC-7, burs...@gmail.com wrote:
> Ok, he writes:
> 
> Much of the information presented here may be found 
> in Joseph W. Dauben, Georg Cantor. His Mathematics and 
> Philosophy of the Infinite. Cambridge, Mass.: Harvard
> University Press, 1979; reprinted Princeton: Princeton 
> University Press, 1990. Additional details depend on 
> archival material drawn from archives in Gottingen and
> Berlin, including the Deutsche Akademie der Wissenschaften 
> (Berlin), the Deutsches Zentralarchiv in Merseburg, and the 
> important holdings at the Institute Mittag-Leffler 
> in Djursholm, Sweden.
> 
> So there are two versions...
> 
> Am Donnerstag, 26. Juli 2018 23:35:23 UTC+2 schrieb burs...@gmail.com:
> > I don't think it is a *copy* of something. Maybe
> > a HTML extra. If you want a *copy* check this:
> > 
> > GEORG CANTOR AND THE BATTLE FOR TRANSFINITE SET THEORY
> > Joseph W. Dauben
> > http://heavysideindustries.com/wp-content/uploads/2011/08/Dauben-Cantor.pdf
> > 
> > Am Donnerstag, 26. Juli 2018 21:21:43 UTC+2 schrieb Ross A. Finlayson:
> > > On Thursday, July 26, 2018 at 11:37:11 AM UTC-7, FredJeffries wrote:
> > > > On Thursday, July 26, 2018 at 7:40:07 AM UTC-7, Alan Smaill wrote:
> > > > > transfinity01@gmail.com writes:
> > > > > >
> > > > > > Do you have any idea why he used finished infinity.
> > > > > 
> > > > > To consider a number that comes after each natural number, as he did,
> > > > > naturally involves considering that already each natural number is
> > > > > simultaneously present.
> > > > 
> > > > Cantor's motivation for introducing transfinite ordinals is well documented and has been explained on this forum dozens of times by many posters: It was in order to investigate convergence of trigonometric series.
> > > 
> > > If you read Dauben on Cantor's philosophy, 
> > > it also came out that ordinals were part 
> > > of his intuitionist argument for the platonic 
> > > existence of his cardinals, and about for 
> > > example the "Transfinitum".
> > > 
> > > There are copies floating about the In-ter-net.
> > > 
> > > https://math.dartmouth.edu/~matc/Readers/HowManyAngels/Cantor/Cantor.html
> > > 
> > > How does Cantor know Liouville?

"In 1893 Vivanti, the Italian mathematician, wrote 
to Cantor suggesting that his rejection of infinitesimals 
was unjustified. As du Bois-Reymond had shown, "the 
orders of infinity of functions constitute a class of 
one-dimensional magnitudes, which include infinitely 
small and infinitely large elements. Thus there is no 
doubt that your [Cantor's] assertions cannot apply to 
the most general concept of number."

In defending his point of view, Cantor wrote back 
to Vivanti with the vitriolic remark that to the best 
of his knowledge, Johannes Thomae was the first 
to "infect mathematics with the Cholera-Bacillus of 
infinitesimals."  Paul du Bois-Reymond, however, was 
soon to follow. Cantor claimed that in systematically 
extending Thomae's ideas, du Bois Reymond found 
"excellent nourishment for the satisfaction of his own 
burning ambition and conceit." Cantor went on to 
discredit du Bois-Reymond's infinitesimals because 
they were self-contradictory, since he rejected without 
compromise the existence of linear numbers which were 
non-zero yet smaller than any arbitrarily small real number. 
Infinitesimals, Cantor replied, were complete nonsense. 
He reserved his strongest words for du Bois-Reymond's 
Infinitäre Pantarchie and his orders of infinitesimals: 
"Can one still call such things numbers? You see, therefore, 
that the `Infinitäre Pantarchie,' of du Bois-Reymond, belongs 
in the wastebasket as nothing but paper numbers!" Cantor 
placed the theory of actual infinitesimals on a par with 
attempts to square the circle, as impossible, sheer folly, 
belonging in the scrap heap rather than in print. Ironically, 
much of Cantor's criticism could have been turned as 
effectively against the transfinite numbers as against 
infinitesimals. And his rejection of infinitesimals was 
certainly fallacious in its reliance upon a petitio principii. 
Having assumed that all numbers must be linear, this was 
equivalent to the Archimedean property, and thus it was 
no wonder that Cantor could "prove" the axiom. The infinitesimals 
were excluded by his original assumptions, and his proof 
of their impossibility was consequently flawed by its own 
circularity." -- Dauben

What comes around goes around.

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#419232

FromPython <python@python.invalid>
Date2018-07-26 16:42 +0200
Message-ID<5b59dde2$0$15511$426a74cc@news.free.fr>
In reply to#419225
Doktor Venom Frankenheim wrote:
> 
>>> Am Mittwoch, 25. Juli 2018 20:45:07 UTC+2 schrieb Alan Smaill:
>>>> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
>>
>>>> What evidence is there that he "knew" that this fails in the potentially
>>>> infinite case? That he accepted some version of your argument???
>>>
>>> "In spite of significant difference between the notions of the
>>> potential and actual infinite, where the former is a variable finite
>>> magnitude, growing above all limits, the latter a constant quantity
>>> fixed in itself but beyond all finite magnitudes, it happens
>>> deplorably often that the one is confused with the other." [Cantor,
>>> p. 374]
>>
>> That shows that he accepts a distinct notion of  the potentially
>> infinite.
>>
>> It does *not* show that he thought that Cantor's theorem fails in the
>> potentially infinite, as WM suggested.
> 
> Okay, a bit brainwork would be required, but obviously not accomplished by you.

What you mean by 'brainwork' is falsification. Which is right as far as
your brain his concerned, Herr Mueckenheim.

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#419143

Frombursejan@gmail.com
Date2018-07-25 12:35 -0700
Message-ID<5e7ad925-5d97-4a76-876f-4311e7648708@googlegroups.com>
In reply to#419113
An unbounded set cannot change its value, by 
"appending" an element. Then you get a new set,
if the element was not yet there:
  
   A u {x} <> A   for x not in A
 
Also "appending" an element to a potential
infinite set doesn't make any sense. How do
you want to "append" it, 

if the potential set is not realized. Make
a not somewhere on the back of an envellope,
a yeah, I should add an element in the

future. What future? When McDuck has lost
all his money? Dream on Augsburg Crank institute.

Am Mittwoch, 25. Juli 2018 15:20:58 UTC+2 schrieb transf...@gmail.com:
> Am Mittwoch, 25. Juli 2018 15:05:07 UTC+2 schrieb Alan Smaill:
> > WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
> > 
> > > Am Dienstag, 24. Juli 2018 22:47:38 UTC+2 schrieb burs...@gmail.com:
> > >> Cantors theorem holds independent
> > >> of the set that has a cardinality, is unbounded or not.
> > >
> > > No. The failure in pot. inf. is the reason why Cantor claimed finished
> > > infinity.
> > 
> > Evidence?
> 
> A pot. inf. list is always finite. Construct the antidiagonal and append it. It is in the list. Now there is a new list. Construct the antidiagonal and append it. It is in the list. This process will never end. It is infinite. Only the assumption of a completed list can prevent that.
> 
> Regards, WM

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#419204

FromWM <wolfgang.mueckenheim@hs-augsburg.de>
Date2018-07-26 03:50 -0700
Message-ID<17968abd-b109-4462-a097-6169bea80c89@googlegroups.com>
In reply to#419143
Am Mittwoch, 25. Juli 2018 21:36:02 UTC+2 schrieb burs...@gmail.com:
> An unbounded set cannot change its value, by 
> "appending" an element.

In potential infinity this happens always.

Regards, WM

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#419064

From"K_h" <KHolmes@SX729.com>
Date2018-07-24 19:03 -0700
Message-ID<Xr6dnZWZh6vpR8rGnZ2dnUU7-LPNnZ2d@giganews.com>
In reply to#419014

"WM"  wrote in message 
news:17ea867f-8cd3-411f-af4d-8e0af413a9c0@googlegroups.com...

> Potential infinity is never completed. Therefore (2) above cannot be 
> applied.
> Simple example: Every natural number has a unique prime decomposition. 
> That
> will be true for every natural number once created. But it cannot be used 
> to prove
> that all natural numbers exist. Same with the identity bijection. It holds 
> up to
> every n. But every n is followed by infinitely many others.

I think you need to be more clear on what you mean by exist.  When it comes 
to proving that all natural numbers exist, that means they exist in a 
platonic sense.  To me it is obvious that all natural numbers exist 
platonically.  But that is a different issue than all the natural numbers 
existing in a `completed' set which the axiom of infinity asserts.  I see no 
problem with the axiom of infinity but it seems like you think the axiom of 
infinity is false.  What axioms one accepts or rejects is based on one's 
pre-axiomatic intuition.  If you believe the axiom of infinity is false then 
all you have to do is state that and then all discussions and arguments can 
come to an end with all participants agreeing to disagree respectfully.  No 
need to argue on and on about it for years and decades on end.

*

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#419071

From"Ross A. Finlayson" <ross.finlayson@gmail.com>
Date2018-07-24 20:23 -0700
Message-ID<f8eba50b-2348-49df-9394-0ad4c6ccefd5@googlegroups.com>
In reply to#419064
On Tuesday, July 24, 2018 at 7:03:42 PM UTC-7, K_h wrote:
> "WM"  wrote in message 
> news:17ea867f-8cd3-411f-af4d-8e0af413a9c0@googlegroups.com...
> 
> > Potential infinity is never completed. Therefore (2) above cannot be 
> > applied.
> > Simple example: Every natural number has a unique prime decomposition. 
> > That
> > will be true for every natural number once created. But it cannot be used 
> > to prove
> > that all natural numbers exist. Same with the identity bijection. It holds 
> > up to
> > every n. But every n is followed by infinitely many others.
> 
> I think you need to be more clear on what you mean by exist.  When it comes 
> to proving that all natural numbers exist, that means they exist in a 
> platonic sense.  To me it is obvious that all natural numbers exist 
> platonically.  But that is a different issue than all the natural numbers 
> existing in a `completed' set which the axiom of infinity asserts.  I see no 
> problem with the axiom of infinity but it seems like you think the axiom of 
> infinity is false.  What axioms one accepts or rejects is based on one's 
> pre-axiomatic intuition.  If you believe the axiom of infinity is false then 
> all you have to do is state that and then all discussions and arguments can 
> come to an end with all participants agreeing to disagree respectfully.  No 
> need to argue on and on about it for years and decades on end.
> 
> *

It's not always so simple.  Reason might arrive at that 
there are features of the infinite numbers that can't 
be taken up and put down like a hat or gloves or on 
a whim (besides that we can neatly conjecture).  

Surely axiomatics offer a neat way to categorize 
modes of thought and given kinds of objects of 
reason (including the absurd) but the reasoner 
doesn't have to accept "axioms" except conscientiously 
hold them as so for a theory.  Then here as above 
the numbers as so rich and ubiquitous objects of 
theory, may have conclusions about them that can 
be arrived at quite despite claims they don't 
exist.

Basically this is pointing that having only an 
"ordinary" infinity is as _wrong_ as having 
none.  That is _wrong_ in the sense that 
ignorance is wrong, that axiomatics reflect 
proper theories, but there are others.

This is not just that "the numbers exist", 
they're the same to everyone, all of them.

Retro-finitist crankety trolls as computational 
or numerical methods with bounded resources 
and no internal rational agency to posit others 
are simply enough closed systems, and physics is not.

Thanks, though, it's a gentle rejection.

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#419100

FromWM <wolfgang.mueckenheim@hs-augsburg.de>
Date2018-07-25 04:35 -0700
Message-ID<ba96f2ca-c6f7-463a-8794-ea16ef54968e@googlegroups.com>
In reply to#419064
Am Mittwoch, 25. Juli 2018 04:03:42 UTC+2 schrieb K_h:
> To me it is obvious that all natural numbers exist 
> platonically.

What does that mean? Does it mean to have only those natural numbers which have the characteristic property of every natural number, i.e., to be followed by infinitely many natural numbers? Then you don't have all of them because always infinitely many are missing. Or do you take all natural numbers with no exception? Then you include some which are not followed by infinitely many and hence are not natural numbers because they are lacking the characteristic property of every natural number. That means you get more than all natural numbers.

> What axioms one accepts or rejects is based on one's 
pre-axiomatic intuition.

No. According to the above it is impossible to have all natural numbers. They cannot be together in a set. Cantor recognized this for the set of all sets. He missed the above argument. And many followed him.

"This is an instance of the amazing power of desire in blinding even very able men to fallacies which would otherwise be obvious at once" [Bertrand Russell].

>  If you believe the axiom of infinity is false then 
all you have to do is state that

Better is to prove it as above.

> No need to argue on and on about it for years and decades on end.

I would have thought so too, initially. But I did not take into account that the study of set theory causes severe brain damage to otherwise intelligent people. I have checked and confirmed this opinion by hundreds of intelligent, not yet brain-damaged students who easily understood this simple proof.

Regards, WM

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#419103

FromPython <python@python.invalid>
Date2018-07-25 13:45 +0200
Message-ID<5b5862d7$0$29209$426a74cc@news.free.fr>
In reply to#419100
Doktor Venom Frankenheim wrote:
> ... I have checked and confirmed this opinion by hundreds
> of intelligent, not yet brain-damaged students who easily
> understood this simple proof.

No you haven't do that. What you've done is teaching fallacies
and abused your position of authority so that the unfortunate
students had to mimic your mental disorder in order to get good
grades. It is more than likely than they've never buy your
lies, Herr Mueckenheim.



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