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Re: Why predictions about the future have no truth value

Newsgroups sci.logic
Date 2023-06-27 13:45 -0700
References (78 earlier) <7b953e1e-d0e1-4ae3-bff9-42ee825c5a54n@googlegroups.com> <19e353b0-ede8-4a37-99cc-6d85f5fe51f9n@googlegroups.com> <c688ebbd-f870-42c2-8b14-82a9e340a3ccn@googlegroups.com> <df5bfcef-f972-47d4-be7d-a80206c806c3n@googlegroups.com> <c0c7c388-9ea1-48fa-abd6-3947217e3bcbn@googlegroups.com>
Message-ID <8e9892c8-e30c-4f6b-add6-091ec0e83fadn@googlegroups.com> (permalink)
Subject Re: Why predictions about the future have no truth value
From Mild Shock <bursejan@gmail.com>

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I changed topic yesterday at this time, this was like 27 hours ago:

Mild Shock schrieb am Montag, 26. Juni 2023 um 19:40:54 UTC+2:
> Since you repeat your argument so many times, its maybe
> time to point out that your peanut brain argument is
> not what Mark Thakkar writes in his paper here.
>
> https://www.st-andrews.ac.uk/~mnat/files/future.pdf
https://groups.google.com/g/sci.logic/c/2obHduLa-Bw/m/q6G8U_wFBAAJ

But since you are a little slow, you didn't get it, right?

Mild Shock schrieb am Dienstag, 27. Juni 2023 um 22:35:57 UTC+2:
> Stop lying you sick fuck. 
> 
> No I don't claim anymore that it can be formalized. I 
> changed the topic. While you didn't read Mark Thakkar, 
> I spent the time reading Mark Thakkar, and he 
> 
> clearly says that this here: 
> 
> "It will rain tomorrow." 
> 
> Cannot be a statement with a truth value, neither in 
> propositional logic à la mathematical logic nor 
> in first order logic à la mathematical logic. 
> 
> He generally refuses that statements of the futures 
> act like facts, and can have truth values like facts. 
> So according to Mark Thakkar you can write down as fact: 
> 
> "It was raining yesterday." 
> 
> But you cannot write down as fact: 
> 
> "It will rain tomorrow." 
> 
> Maybe read the paper for once? 
> 
> https://www.st-andrews.ac.uk/~mnat/files/future.pdf
> Dan Christensen schrieb am Dienstag, 27. Juni 2023 um 22:12:11 UTC+2: 
> > On Tuesday, June 27, 2023 at 3:55:14 PM UTC-4, Mild Shock wrote: 
> > > Dan Christensen schrieb am Dienstag, 27. Juni 2023 um 21:53:23 UTC+2: 
> > 
> > > > I guess I don't really need lines 7 and 8 of my revised formalization since I have x in Z in the premise. Then the formulization of "It will rain tomorrow" is Today(x) & Rain(x+1) for any x in Z where Today(x) means today is day x and Rain(x) means it rains on day x. 
> > > Even if Dan Christensen would make a 180° head turn, 
> > > and listen to Mark Thakkar, I doubt that something 
> > > productive will result. 
> > [snip more the same] 
> > 
> > Here I have presented a formalization of "It will rain tomorrow." (See above.) Unfortunately, for you, Mr. Collapse, it makes use of FOL and set theory. You foolishly claimed that it could be formalized using only propositional logic (with no predicates or quantifiers). Must be frustrating as hell for you. 
> > Dan 
> > 
> > Download my DC Proof 2.0 freeware at http://www.dcproof.com 
> > Visit my Math Blog at http://www.dcproof.wordpress.com

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Thread

Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-18 08:03 -0700
  Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 09:10 -0700
    Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 09:27 -0700
      Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 09:43 -0700
    Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-18 10:36 -0700
      Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 11:05 -0700
        Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 11:08 -0700
        Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-18 12:35 -0700
          Re: Why predictions about the future have no truth value Mild Shock <janburse@fastmail.fm> - 2023-06-18 23:32 +0200
            Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 14:42 -0700
            Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-18 15:09 -0700
              Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 15:24 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 15:35 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 15:40 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 15:47 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 15:49 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 15:59 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-18 16:03 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-18 18:53 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-19 01:20 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-19 01:31 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-19 01:38 -0700
                Re: Why predictions about the future have no truth value Jim Burns <james.g.burns@att.net> - 2023-06-19 11:14 -0400
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-19 06:44 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-19 07:23 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-19 07:35 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-19 07:51 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-19 08:32 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-19 15:08 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-19 19:42 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-19 22:31 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-19 23:22 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-19 23:28 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-19 23:33 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-20 07:59 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-20 08:15 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-20 08:18 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-20 12:28 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-20 12:40 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-20 13:02 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-20 15:33 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-20 20:03 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-20 21:16 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-20 21:39 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-20 23:03 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-21 00:50 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-21 06:31 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-21 08:43 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-21 08:54 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-21 09:10 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-21 09:11 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-21 09:12 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-21 09:14 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-21 09:14 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-21 09:25 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-21 09:30 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-21 09:37 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-21 09:41 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-21 10:43 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-21 11:13 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-21 11:49 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-21 13:11 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-21 22:00 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-21 22:12 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-21 22:27 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-21 22:34 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-22 02:59 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-22 03:14 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-22 03:19 -0700
                Re: Why predictions about the future have no truth value Julio Di Egidio <julio@diegidio.name> - 2023-06-22 03:20 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-22 04:09 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-22 04:13 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-22 04:21 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-22 08:28 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-22 08:59 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-22 13:42 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-24 09:49 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-24 11:14 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-25 09:30 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-25 15:34 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-25 16:05 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-25 16:29 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-25 16:34 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-25 19:29 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-25 19:32 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-25 21:20 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-25 22:42 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-26 00:17 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-26 00:28 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-26 00:34 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-26 00:41 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-26 09:31 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-26 10:40 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-26 10:58 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-26 12:36 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-26 17:27 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-26 18:21 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-26 18:43 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-26 20:32 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-26 21:13 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-26 21:36 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-26 22:14 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 04:15 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 04:27 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-27 07:55 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 09:49 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 09:57 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 10:25 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-27 10:39 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-27 10:48 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-27 10:57 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 11:11 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 11:20 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 11:24 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-27 12:05 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 12:18 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 12:26 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 12:33 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-27 12:53 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 12:55 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 13:02 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-27 13:12 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 13:35 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 13:45 -0700
                Re: Why predictions about the future have no truth value Daniel Pehoushek <pehoushek1@gmail.com> - 2023-06-27 14:10 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 14:16 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-27 14:39 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 15:48 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-27 16:02 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-27 16:54 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-28 20:37 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-07-02 15:37 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-07-02 17:49 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-07-03 04:04 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-25 19:16 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-22 23:40 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-22 23:51 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 00:05 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-23 08:58 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 09:49 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-23 10:12 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 10:19 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 10:30 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-23 11:20 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 13:57 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 14:16 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-23 14:20 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 14:26 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 14:37 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-23 14:55 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 15:03 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-23 15:08 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 15:12 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 15:28 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-23 15:54 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 17:14 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 17:19 -0700
                Re: Why predictions about the future have no truth value Mild Shock <bursejan@gmail.com> - 2023-06-23 17:29 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-20 15:22 -0700
                Re: Why predictions about the future have no truth value Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-20 11:37 -0700
                Re: Why predictions about the future have no truth value Dan Christensen <Dan_Christensen@sympatico.ca> - 2023-06-18 15:40 -0700

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