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Groups > sci.math > #416035 > unrolled thread
| Started by | WM <wolfgang.mueckenheim@hs-augsburg.de> |
|---|---|
| First post | 2018-06-22 07:36 -0700 |
| Last post | 2018-07-05 14:08 +0200 |
| Articles | 20 on this page of 638 — 20 participants |
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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 16 of 32 — ← Prev page 1 … 14 15 [16] 17 18 … 32 Next page →
| From | "Ross A. Finlayson" <ross.finlayson@gmail.com> |
|---|---|
| Date | 2018-07-18 09:16 -0700 |
| Message-ID | <c1e4507f-74fc-43a9-ac57-bb0f8f8e8f3d@googlegroups.com> |
| In reply to | #418316 |
On Wednesday, July 18, 2018 at 3:17:39 AM UTC-7, FromTheRafters wrote:
> Ross A. Finlayson wrote on 7/18/2018 :
> > On Tuesday, July 17, 2018 at 10:39:27 PM UTC-7, Zelos Malum wrote:
> >>
> >> The "potential" vs "actual" infinity is irrelevant in mathematics.
> >>
> >
> > ZM I'd usually agree with you but if you
> > read this "A sober mind speaks" thread
> > which I took away from WM and made into
> > a discussion on finitary vs. infinitary
> > combinatorics, there's a difference
> > between "unbounded" ("potential") and
> > "effective" ("actual") "infinity",
> > that is relevant in mathematics.
>
> I disagree. We have the Axiom of Infinity. Whereas the infinite is
> 'whole cloth' and does not need to be stitched together like a quilt
> from successive finite pieces, there's no need for any algorithmic
> building of infinity.
>
> Why do you equate 'unbounded' with 'potential'? Is this the actual
> terminology used in the discipline of mathematics you are describing or
> are you just trying to make WM seem like he makes sense. Next he'll be
> saying that Boole missed the boat because T is actually only
> 'potentially' true because there is some process at work which takes
> time to complete.
A usual example of potential vs actual
infinite has potential as the same thing
as unbounded.
https://en.wikipedia.org/wiki/Actual_infinity
"Proponents of [rejecting actual infinity],
from Kronecker onwards, reject the claim
that there are actually infinite mathematical
objects or sets." These are here "finitists"
or "ultra-finitists" or "retro-finitists".
The Wiki then closes with a bunch of quotes
extolling trans-finite cardinals as "the"
actual infinity, but these infinitary combinatorics
are working pretty much with a usual simply-non-
finite infinity, often written oo, \infty, or '∞'.
We all know delta-epsilonics and fundamental
theorems for real analysis basically via
delta-epsilonics besides that modern mathematics'
abstract algebra's measure theory hands over a
complete ordered field with measure 1.0 and
countable additivity.
You can leave retro-finitist crankety trolls
out of this discussion about infinity.
(Of course, "actual infinity" is also in
a sense "unbounded", but also with the
property of being "completed" and as above,
"infinitary" instead of "finitary, unbounded".)
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| From | WM <wolfgang.mueckenheim@hs-augsburg.de> |
|---|---|
| Date | 2018-07-18 06:12 -0700 |
| Message-ID | <f6f803a5-d8fe-43e1-b57e-d65a6326ee66@googlegroups.com> |
| In reply to | #418303 |
Am Mittwoch, 18. Juli 2018 07:39:27 UTC+2 schrieb Zelos Malum: > >How then can we know that the infinity of naturals and of rationals is precisely the same? > > Your idea of completeness is not relevant to this. All we need is a bijection. You need a complete bjection. If there are only the first n pairs while infinitely many are not yet existing, nothing can be said about equinumerosity. > > >And how can we know that Cantor's theorem: > >"For every finite list there exists an antidiagonal not in the list" > > Cantors theorem is "There exists no surjection from a set to its powerset" That is a simple quantifier confusion taken from every finite set and extended into the infinite. > > >That is potential infinity. The only reasonable account of the infinite by the way, but alas in contradiction with set theory. > > The "potential" vs "actual" infinity is irrelevant in mathematics. Are you really unable to understand it? > > >That is potential infinity. The only reasonable account of the infinite by the way, but alas in contradiction with set theory. > > Does not matter, the amount of nodes in total is infinite and that is waht matters. An infinite amount is actual infinity, by the way. In potential infinity, there is no amount. But what matters is that the total amount of nodes is countable. > > >That is true since it is mathematics. > > Your statement goes from strict to non-strict, that illustrates that whats true for any finite value is not necciserily true for ifninite. Cantor's list argument for instance is only strict for finite lists. Infinite lists behave like Hilbert's Hotel. Every new guest is absorbed. Infinitely many new guests are absorbed. > > >I need not extrapolate. lim 1, 2, 4, 8, ... is countable. If it were not, then the Cantor list with its 1, 2, 3, ... lines could have an uncountable limit of lines too. Aned the only interesting result of set theory was abolished. > > THe issue is not the amount of nodes being countable, it is the paths and just because iti s countable for any finite amount of nodes does that not mean that the amount of paths when you have infinite number of nodes is countable. If in the infinite countable and uncountable have no observable consequences, then you can drop set theory. > It does, you go from < to <=, which shows that when the infinite is involved it can shift. It cannot shift from < to > however. Regards, WM
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| From | Alan Smaill <smaill@SPAMinf.ed.ac.uk> |
|---|---|
| Date | 2018-07-18 17:11 +0100 |
| Message-ID | <fwey3e8bk24.fsf@foxtrot.inf.ed.ac.uk> |
| In reply to | #418327 |
WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
> Am Mittwoch, 18. Juli 2018 07:39:27 UTC+2 schrieb Zelos Malum:
>> >How then can we know that the infinity of naturals and of rationals
>> > is precisely the same?
>>
>> Your idea of completeness is not relevant to this. All we need is a
>> bijection.
>
> You need a complete bjection. If there are only the first n pairs
> while infinitely many are not yet existing, nothing can be said about
> equinumerosity.
Why so?
The potentially infinite correlation { (1,2}, (2,4), (3, 6), ...}
between the potentially infinite set of naturals and the potentially
infinite set of even numbers is sufficient to show (by reasoning from
the definition, rather than the informal version here) that the
collections are in 1-1 correspondence.
It threatens to continue in infinity but does not really require it.
>
> Regards, WM
>
--
Alan Smaill
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| From | WM <wolfgang.mueckenheim@hs-augsburg.de> |
|---|---|
| Date | 2018-07-19 05:37 -0700 |
| Message-ID | <7ccbd7e1-ee56-49cc-8706-94ed39fb012a@googlegroups.com> |
| In reply to | #418373 |
Am Mittwoch, 18. Juli 2018 18:15:06 UTC+2 schrieb Alan Smaill:
> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
>
> > Am Mittwoch, 18. Juli 2018 07:39:27 UTC+2 schrieb Zelos Malum:
> >> >How then can we know that the infinity of naturals and of rationals
> >> > is precisely the same?
> >>
> >> Your idea of completeness is not relevant to this. All we need is a
> >> bijection.
> >
> > You need a complete bjection. If there are only the first n pairs
> > while infinitely many are not yet existing, nothing can be said about
> > equinumerosity.
>
> Why so?
>
> The potentially infinite correlation { (1,2}, (2,4), (3, 6), ...}
> between the potentially infinite set of naturals and the potentially
> infinite set of even numbers is sufficient to show (by reasoning from
> the definition, rather than the informal version here) that the
> collections are in 1-1 correspondence.
up to every pair (n, 2n). But what about the rational numbers or even the algebraics?
>
> It threatens to continue in infinity but does not really require it.
Even continuing will never show equinumerosity. Imagine two zipper strings of different length which fit to every length.
Regards, WM
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| From | Alan Smaill <smaill@SPAMinf.ed.ac.uk> |
|---|---|
| Date | 2018-07-20 12:20 +0100 |
| Message-ID | <fwefu0enogg.fsf@foxtrot.inf.ed.ac.uk> |
| In reply to | #418503 |
WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
> Am Mittwoch, 18. Juli 2018 18:15:06 UTC+2 schrieb Alan Smaill:
>> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
>>
>> > Am Mittwoch, 18. Juli 2018 07:39:27 UTC+2 schrieb Zelos Malum:
>> >> >How then can we know that the infinity of naturals and of rationals
>> >> > is precisely the same?
>> >>
>> >> Your idea of completeness is not relevant to this. All we need is a
>> >> bijection.
>> >
>> > You need a complete bjection. If there are only the first n pairs
>> > while infinitely many are not yet existing, nothing can be said about
>> > equinumerosity.
>>
>> Why so?
>>
>> The potentially infinite correlation { (1,2}, (2,4), (3, 6), ...}
>> between the potentially infinite set of naturals and the potentially
>> infinite set of even numbers is sufficient to show (by reasoning from
>> the definition, rather than the informal version here) that the
>> collections are in 1-1 correspondence.
>
> up to every pair (n, 2n).
But we have a finite definition of the alignment, so we can prove
proerties, eg that no even number is omitted from the range,
by induction.
So, it is not the case that a complete bijection is *needed*.
> But what about the rational numbers or even the algebraics?
Good question.
>> It threatens to continue in infinity but does not really require it.
>
> Even continuing will never show equinumerosity. Imagine two zipper
> strings of different length which fit to every length.
Maybe there are no such zipper strings?
If it's the word "equinumerosity" you have trouble with, pick
a different one.
> Regards, WM
--
Alan Smaill
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| From | WM <wolfgang.mueckenheim@hs-augsburg.de> |
|---|---|
| Date | 2018-07-20 05:03 -0700 |
| Message-ID | <7fafa68e-a4b8-4af5-b70c-4cffb40d4f98@googlegroups.com> |
| In reply to | #418605 |
Am Freitag, 20. Juli 2018 13:25:06 UTC+2 schrieb Alan Smaill:
> WM <wolfgang.
>
> >> The potentially infinite correlation { (1,2}, (2,4), (3, 6), ...}
> >> between the potentially infinite set of naturals and the potentially
> >> infinite set of even numbers is sufficient to show (by reasoning from
> >> the definition, rather than the informal version here) that the
> >> collections are in 1-1 correspondence.
> >
> > up to every pair (n, 2n).
>
> But we have a finite definition of the alignment, so we can prove
> proerties, eg that no even number is omitted from the range,
> by induction.
We can prove properties, e.g., that with every taking of a second partner 2n the number of not paired first partners n grows. We can prove by induction that the number of not paired first partners (n+1, ..., 2n) grows over all bounds. In mathematics we find the limit oo for this number.
>
> So, it is not the case that a complete bijection is *needed*.
It is. Otherwise the mathematical limit applies. We cannot name any first partner that remains outside? No problem. There remain always infinitely many beyond any named one.
>
> > But what about the rational numbers or even the algebraics?
>
> Good question.
It is the same principle as with (n, 2n).
>
> >> It threatens to continue in infinity but does not really require it.
> >
> > Even continuing will never show equinumerosity. Imagine two zipper
> > strings of different length which fit to every length.
>
> Maybe there are no such zipper strings?
n and 2n are a simple example. |Q and |N are a striking example.
>
> If it's the word "equinumerosity" you have trouble with, pick
> a different one.
The correct word would be: "Up to every n, we can find a partner in |Q." But that says nothing about finishing, since every n is followed by infinitely many (and every q is followed by an infinity of infinities).
Regards, WM
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| From | Alan Smaill <smaill@SPAMinf.ed.ac.uk> |
|---|---|
| Date | 2018-07-20 14:33 +0100 |
| Message-ID | <fweva9am3pa.fsf@foxtrot.inf.ed.ac.uk> |
| In reply to | #418608 |
WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
> Am Freitag, 20. Juli 2018 13:25:06 UTC+2 schrieb Alan Smaill:
>> WM <wolfgang.
>
>> >> The potentially infinite correlation { (1,2}, (2,4), (3, 6), ...}
>> >> between the potentially infinite set of naturals and the potentially
>> >> infinite set of even numbers is sufficient to show (by reasoning from
>> >> the definition, rather than the informal version here) that the
>> >> collections are in 1-1 correspondence.
>> >
>> > up to every pair (n, 2n).
>>
>> But we have a finite definition of the alignment, so we can prove
>> proerties, eg that no even number is omitted from the range,
>> by induction.
>
> We can prove properties, e.g., that with every taking of a second
> partner 2n the number of not paired first partners n grows. We can
> prove by induction that the number of not paired first partners (n+1,
> ..., 2n) grows over all bounds. In mathematics we find the limit oo
> for this number.
So what??
All that matters for this sort of alignment is that for each entry found
in the first collection, there is exactly one that corresponds in the
second collection, and vice versa.
>> So, it is not the case that a complete bijection is *needed*.
>
> It is. Otherwise the mathematical limit applies.
Simply irrelevant.
>> >> It threatens to continue in infinity but does not really require it.
>> >
>> > Even continuing will never show equinumerosity. Imagine two zipper
>> > strings of different length which fit to every length.
>>
>> Maybe there are no such zipper strings?
>
> n and 2n are a simple example. |Q and |N are a striking example.
two examples =/= universal property.
>> If it's the word "equinumerosity" you have trouble with, pick
>> a different one.
>
> The correct word would be: "Up to every n, we can find a partner in
> |Q." But that says nothing about finishing,
Right, that says nothing about finishing.
"[It] threatens to continue in infinity but not really requires it." (WM)
All that matters for this sort of potentially infinite alignment is that
for each entry found in the first collection, there is exactly one that
corresponds in the second collection, and vice versa. And sometimes this
proof is available from the definition.
It threatens to continue in infinity but not really requires it.
> Regards, WM
>
--
Alan Smaill
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| From | WM <wolfgang.mueckenheim@hs-augsburg.de> |
|---|---|
| Date | 2018-07-20 11:41 -0700 |
| Message-ID | <c1acf6d9-d4a3-4631-8dce-335cabec626d@googlegroups.com> |
| In reply to | #418623 |
Am Freitag, 20. Juli 2018 15:35:06 UTC+2 schrieb Alan Smaill: > > We can prove properties, e.g., that with every taking of a second > > partner 2n the number of not paired first partners n grows. We can > > prove by induction that the number of not paired first partners (n+1, > > ..., 2n) grows over all bounds. In mathematics we find the limit oo > > for this number. > > So what?? > > All that matters for this sort of alignment is that for each entry found > in the first collection, there is exactly one that corresponds in the > second collection, and vice versa. No. That does not show anything since you are always working in a tiny finite initial segment. Set theory must, counterfactually, claim that this is all elements. > > The correct word would be: "Up to every n, we can find a partner in > > |Q." But that says nothing about finishing, > > Right, that says nothing about finishing. And therefore it does not enable a diagonal argument yielding a real number. Regards, WM
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| From | Alan Smaill <smaill@SPAMinf.ed.ac.uk> |
|---|---|
| Date | 2018-07-21 20:58 +0100 |
| Message-ID | <fwe8t641hui.fsf@foxtrot.inf.ed.ac.uk> |
| In reply to | #418653 |
WM <wolfgang.mueckenheim@hs-augsburg.de> writes: > Am Freitag, 20. Juli 2018 15:35:06 UTC+2 schrieb Alan Smaill: > >> > We can prove properties, e.g., that with every taking of a second >> > partner 2n the number of not paired first partners n grows. We can >> > prove by induction that the number of not paired first partners (n+1, >> > ..., 2n) grows over all bounds. In mathematics we find the limit oo >> > for this number. >> >> So what?? >> >> All that matters for this sort of alignment is that for each entry found >> in the first collection, there is exactly one that corresponds in the >> second collection, and vice versa. > > No. That does not show anything since you are always working in a tiny > finite initial segment. Set theory must, counterfactually, claim that > this is all elements. You have already forgotten that set theory is not at issue? No doubt it is hard to keep up. I am suggestiong tht there is a perfectly good way to consider correlations between potentially infinite collectionx staying inside the workd of the potentially infinite. >> > The correct word would be: "Up to every n, we can find a partner in >> > |Q." But that says nothing about finishing, >> >> Right, that says nothing about finishing. > > And therefore it does not enable a diagonal argument yielding a real > number. The output may or may not be rational; however, you can work out that the anti-diagonal is not in the original listing, just as you can show that sqrt(2) is irrational. It only threatens to continue in infinity but not really requires it. > > Regards, WM -- Alan Smaill
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| From | WM <wolfgang.mueckenheim@hs-augsburg.de> |
|---|---|
| Date | 2018-07-22 06:16 -0700 |
| Message-ID | <40a8476e-0824-47a6-ae3b-477606c4f41a@googlegroups.com> |
| In reply to | #418761 |
Am Samstag, 21. Juli 2018 22:00:06 UTC+2 schrieb Alan Smaill: > WM <wolfgang.mueckenheim@hs-augsburg.de> writes: > > No. That does not show anything since you are always working in a tiny > > finite initial segment. Set theory must, counterfactually, claim that > > this is all elements. > > You have already forgotten that set theory is not at issue? What else is of interest? > > I am suggestiong tht there is a perfectly good way to consider > correlations between potentially infinite collectionx staying inside the > workd of the potentially infinite. Of course. Every infinite set is in bijection with every infinite set. But we have to restrict the term "bijection" to potential infinity, i.e., never having a complete set. One way to show that is the intercession, see. p. 242 of https://www.hs-augsburg.de/~mueckenh/Transfinity/Transfinity/pdf Regards, WM
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| From | Alan Smaill <smaill@SPAMinf.ed.ac.uk> |
|---|---|
| Date | 2018-07-22 15:49 +0100 |
| Message-ID | <fwe8t63z5nw.fsf@foxtrot.inf.ed.ac.uk> |
| In reply to | #418846 |
WM <wolfgang.mueckenheim@hs-augsburg.de> writes: > Am Samstag, 21. Juli 2018 22:00:06 UTC+2 schrieb Alan Smaill: >> WM <wolfgang.mueckenheim@hs-augsburg.de> writes: > > >> > No. That does not show anything since you are always working in a tiny >> > finite initial segment. Set theory must, counterfactually, claim that >> > this is all elements. >> >> You have already forgotten that set theory is not at issue? > > What else is of interest? Mathematics, of course. (sheesh) >> I am suggestiong tht there is a perfectly good way to consider >> correlations between potentially infinite collectionx staying inside the >> workd of the potentially infinite. > > Of course. Every infinite set is in bijection with every infinite > set. But we have to restrict the term "bijection" to potential > infinity, i.e., never having a complete set. So for this purpose your remarks about size of uncovered numbers tending to infinity were, as I said, completely irrelevant. Here you make a substantive claim about every possible pairs of (potentially) infinite collections. > > Regards, WM -- Alan Smaill
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| From | WM <wolfgang.mueckenheim@hs-augsburg.de> |
|---|---|
| Date | 2018-07-23 06:21 -0700 |
| Message-ID | <e1ef11bc-a269-482e-97ac-e586229ea50d@googlegroups.com> |
| In reply to | #418851 |
Am Sonntag, 22. Juli 2018 16:50:06 UTC+2 schrieb Alan Smaill: > WM <wolfgang.mueckenheim@hs-augsburg.de> writes: > > Of course. Every infinite set is in bijection with every infinite > > set. But we have to restrict the term "bijection" to potential > > infinity, i.e., never having a complete set. > > So for this purpose your remarks about size of uncovered numbers tending > to infinity were, as I said, completely irrelevant. They are only relevant when completeness, i.e., actual infinity is assumed. > > Here you make a substantive claim about every possible pairs of > (potentially) infinite collections In potential infinity there is no completeness. Up to every n we can find a q and vice versa. But this bijection does not allow claims about equinumerosity. Regards, WM
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| From | Alan Smaill <smaill@SPAMinf.ed.ac.uk> |
|---|---|
| Date | 2018-07-23 14:52 +0100 |
| Message-ID | <fwesh4axdnz.fsf@foxtrot.inf.ed.ac.uk> |
| In reply to | #418939 |
WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
> Am Sonntag, 22. Juli 2018 16:50:06 UTC+2 schrieb Alan Smaill:
>> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
>
>> > Of course. Every infinite set is in bijection with every infinite
>> > set. But we have to restrict the term "bijection" to potential
>> > infinity, i.e., never having a complete set.
>>
>> So for this purpose your remarks about size of uncovered numbers tending
>> to infinity were, as I said, completely irrelevant.
>
> They are only relevant when completeness, i.e., actual infinity is assumed.
As I said, irrelevant for the claim I made.
>> Here you make a substantive claim about every possible pairs of
>> (potentially) infinite collections
>
> In potential infinity there is no completeness. Up to every n we can
> find a q and vice versa.
Your usual ambiguity.
Do you mean:
1) for each particular n, we can examine the situation?
2) we can prove from the definition of the potentially
infinite correlation relation the universal claim
that this is a 1-1 relation?
> But this bijection does not allow claims
> about equinumerosity.
It does allow claim of 1-1 correlation, under version 2 above.
And there are at least some cases where version 2 holds --
after all you accept proof by induction for potentially
infinite collections.
>
> Regards, WM
--
Alan Smaill
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| From | WM <wolfgang.mueckenheim@hs-augsburg.de> |
|---|---|
| Date | 2018-07-23 10:12 -0700 |
| Message-ID | <50d7a619-1243-46d6-8e63-db5dc1a45f51@googlegroups.com> |
| In reply to | #418946 |
Am Montag, 23. Juli 2018 15:55:06 UTC+2 schrieb Alan Smaill: > Do you mean: > > 1) for each particular n, we can examine the situation? > 2) we can prove from the definition of the potentially > infinite correlation relation the universal claim > that this is a 1-1 relation? > > > But this bijection does not allow claims > > about equinumerosity. > > It does allow claim of 1-1 correlation, under version 2 above. > And there are at least some cases where version 2 holds -- > after all you accept proof by induction for potentially > infinite collections. For every FISON (1, 2, 3, ..., n) we can find a segment of rational numbers (q_1, q_2, q_3, ..., q_n) and vice versa. Infinitely many naturals and infinitely many rationals are always missing. Regards, WM
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| From | Alan Smaill <smaill@SPAMinf.ed.ac.uk> |
|---|---|
| Date | 2018-07-23 18:38 +0100 |
| Message-ID | <fwe6015yhrz.fsf@foxtrot.inf.ed.ac.uk> |
| In reply to | #418954 |
WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
> Am Montag, 23. Juli 2018 15:55:06 UTC+2 schrieb Alan Smaill:
>
>> Do you mean:
>>
>> 1) for each particular n, we can examine the situation?
>> 2) we can prove from the definition of the potentially
>> infinite correlation relation the universal claim
>> that this is a 1-1 relation?
No answer;
you want to maintain the ambiguity??
>> > But this bijection does not allow claims
>> > about equinumerosity.
>>
>> It does allow claim of 1-1 correlation, under version 2 above.
>> And there are at least some cases where version 2 holds --
>> after all you accept proof by induction for potentially
>> infinite collections.
>
> For every FISON (1, 2, 3, ..., n) we can find a segment of rational
> numbers (q_1, q_2, q_3, ..., q_n) and vice versa. Infinitely many
> naturals and infinitely many rationals are always missing.
Consider using 2) above rather than 1).
Here you, prudently no doubt, neglect to mention what potentially
infinite correlation you are thinking about.
It works like this:
give a finite definition of a potentially infinite collection
{ (1,r1), (2,r2), (3,r3), ... } with r1,r2,... rationals.
When you have done that, it may be that you can in fact show
that each (not all) rational appears, in the same way that you are
able to show that sqrt(2) is irrational. It may also be that you
have chosen a correlation without that property.
It threatens to continue in infinity but does not really require it.
> Regards, WM
--
Alan Smaill
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| From | WM <wolfgang.mueckenheim@hs-augsburg.de> |
|---|---|
| Date | 2018-07-24 06:58 -0700 |
| Message-ID | <17ea867f-8cd3-411f-af4d-8e0af413a9c0@googlegroups.com> |
| In reply to | #418956 |
Am Montag, 23. Juli 2018 19:40:08 UTC+2 schrieb Alan Smaill:
> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
>
> > Am Montag, 23. Juli 2018 15:55:06 UTC+2 schrieb Alan Smaill:
> >
> >> Do you mean:
> >>
> >> 1) for each particular n, we can examine the situation?
> >> 2) we can prove from the definition of the potentially
> >> infinite correlation relation the universal claim
> >> that this is a 1-1 relation?
>
> No answer;
> you want to maintain the ambiguity??
I did not want to interrupt your text. The answer is below:
>
> > For every FISON (1, 2, 3, ..., n) we can find a segment of rational
> > numbers (q_1, q_2, q_3, ..., q_n) and vice versa. Infinitely many
> > naturals and infinitely many rationals are always missing.
>
> Consider using 2) above rather than 1).
>
> Here you, prudently no doubt, neglect to mention what potentially
> infinite correlation you are thinking about.
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.
>
> It works like this:
> give a finite definition of a potentially infinite collection
>
> { (1,r1), (2,r2), (3,r3), ... } with r1,r2,... rationals.
>
> When you have done that, it may be that you can in fact show
> that each (not all) rational appears, in the same way that you are
> able to show that sqrt(2) is irrational. It may also be that you
> have chosen a correlation without that property.
But I can show that the amount of unpaired rationals between 0 and n increases without end with n. That disproves the hope that all could be in the bijection. Well, you said each.. It will be hard to shwo that because for every n there remain almost all rationals unpaired, even those of the most frequented interval between 0 and 1.
Regards, WM
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| From | bursejan@gmail.com |
|---|---|
| Date | 2018-07-24 13:47 -0700 |
| Message-ID | <08a8b3f4-3e07-4cbe-a079-2a70e803a30e@googlegroups.com> |
| In reply to | #419014 |
In FOL+ZFC there is no notion of potential infinite.
What do you mean by potential infinite.
And unbounded set. Cantors theorem holds independent
of the set that has a cardinality, is unbounded or not.
Cardinality is a notion that is more or less agnostic
to unboundedness. For example this sets here:
omega : Unbounded
omega+5 : Bounded
All have the same cardinality. What are you bragging
about Prof Muckefunk. Doesn't make much sense so far..
Am Dienstag, 24. Juli 2018 15:58:47 UTC+2 schrieb WM:
> Am Montag, 23. Juli 2018 19:40:08 UTC+2 schrieb Alan Smaill:
> > WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
> >
> > > Am Montag, 23. Juli 2018 15:55:06 UTC+2 schrieb Alan Smaill:
> > >
> > >> Do you mean:
> > >>
> > >> 1) for each particular n, we can examine the situation?
> > >> 2) we can prove from the definition of the potentially
> > >> infinite correlation relation the universal claim
> > >> that this is a 1-1 relation?
> >
> > No answer;
> > you want to maintain the ambiguity??
>
> I did not want to interrupt your text. The answer is below:
> >
> > > For every FISON (1, 2, 3, ..., n) we can find a segment of rational
> > > numbers (q_1, q_2, q_3, ..., q_n) and vice versa. Infinitely many
> > > naturals and infinitely many rationals are always missing.
> >
> > Consider using 2) above rather than 1).
> >
> > Here you, prudently no doubt, neglect to mention what potentially
> > infinite correlation you are thinking about.
>
> 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.
> >
> > It works like this:
> > give a finite definition of a potentially infinite collection
> >
> > { (1,r1), (2,r2), (3,r3), ... } with r1,r2,... rationals.
> >
> > When you have done that, it may be that you can in fact show
> > that each (not all) rational appears, in the same way that you are
> > able to show that sqrt(2) is irrational. It may also be that you
> > have chosen a correlation without that property.
>
> But I can show that the amount of unpaired rationals between 0 and n increases without end with n. That disproves the hope that all could be in the bijection. Well, you said each.. It will be hard to shwo that because for every n there remain almost all rationals unpaired, even those of the most frequented interval between 0 and 1.
>
> Regards, WM
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| From | WM <wolfgang.mueckenheim@hs-augsburg.de> |
|---|---|
| Date | 2018-07-25 04:26 -0700 |
| Message-ID | <1291bf8d-fcdf-49ff-90da-5e4a9ff37b53@googlegroups.com> |
| In reply to | #419036 |
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. Regards, WM
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| From | Alan Smaill <smaill@SPAMinf.ed.ac.uk> |
|---|---|
| Date | 2018-07-25 14:02 +0100 |
| Message-ID | <fwea7qfjwnu.fsf@foxtrot.inf.ed.ac.uk> |
| In reply to | #419098 |
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? > Regards, WM -- Alan Smaill
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| From | transfinity01@gmail.com |
|---|---|
| Date | 2018-07-25 06:20 -0700 |
| Message-ID | <b58201f4-74b4-4fbc-9535-c7760309edc6@googlegroups.com> |
| In reply to | #419111 |
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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