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The unexpected (?) hanging

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  • #16
    I just don't understand how backward reasoning confirms forward logic.

    Whatever

    The fact that they guy didn't think he would be hanged at all, and he was, ergo he was surprised. In addition, he was hung at noon and in the following week.
    Monkey!!!

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    • #17
      Y'all have totally missed the point.
      We need seperate human-only games for MP/PBEM that dont include the over-simplifications required to have a good AI
      If any man be thirsty, let him come unto me and drink. Vampire 7:37
      Just one old soldiers opinion. E Tenebris Lux. Pax quaeritur bello.

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      • #18
        thanks for sharing
        Monkey!!!

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        • #19
          D sounds like a way around it. B, assumes that you will be informed the day prior to execution.
          Scouse Git (2) La Fayette Adam Smith Solomwi and Loinburger will not be forgotten.
          "Remember the night we broke the windows in this old house? This is what I wished for..."
          2015 APOLYTON FANTASY FOOTBALL CHAMPION!

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          • #20
            e) "Wait, you can't hang me today it's illogic..." *urk*

            The prison guards are just ****ing with him and don't give a crap about logic.
            Jon Miller: MikeH speaks the truth
            Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
            We've got both kinds

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            • #21
              Q: Why was the prisoner hanged?

              A: Prisoners are usually hanged because they commited a Crime
              Curse your sudden but inevitable betrayal!

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              • #22
                Ding! Ding! Ding! MikeH wins!
                We need seperate human-only games for MP/PBEM that dont include the over-simplifications required to have a good AI
                If any man be thirsty, let him come unto me and drink. Vampire 7:37
                Just one old soldiers opinion. E Tenebris Lux. Pax quaeritur bello.

                Comment


                • #23
                  No.
                  12-17-10 Mohamed Bouazizi NEVER FORGET
                  Stadtluft Macht Frei
                  Killing it is the new killing it
                  Ultima Ratio Regum

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                  • #24
                    You think the prison guards do care about logic?
                    Jon Miller: MikeH speaks the truth
                    Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
                    We've got both kinds

                    Comment


                    • #25
                      I think that the prison guards in your scenario have behaved perfectly logically, and have not transgressed any of the judge's edicts.
                      12-17-10 Mohamed Bouazizi NEVER FORGET
                      Stadtluft Macht Frei
                      Killing it is the new killing it
                      Ultima Ratio Regum

                      Comment


                      • #26
                        That's irrelevant to whether they give a crap about it or not.
                        Jon Miller: MikeH speaks the truth
                        Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
                        We've got both kinds

                        Comment


                        • #27
                          Yes, but whether or not they give a crap about it is irrelevant to the problem at hand (so long as they are bound by it).
                          12-17-10 Mohamed Bouazizi NEVER FORGET
                          Stadtluft Macht Frei
                          Killing it is the new killing it
                          Ultima Ratio Regum

                          Comment


                          • #28
                            Maybe the prison guards are hooked on crack and are being blackmailed by their dealer with pictures of them in compromising positions with each other... Ya, that's it... I'll just keep making assumptions until I winner.
                            Monkey!!!

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                            • #29
                              I'm surprised at how popular (b) is. To me it's the absolute worst answer as it denies induction as a valid tool.
                              I still voted B because I couldn't figure out why it doesn't work like that.

                              Until I put the days behind each other.
                              On Monday the prisoner will be hanged on Tuesday, Wednesday, Thursday, Friday or Saturday.
                              But not on Saturday because then he would know on Friday that he would be hanged on Saturday.
                              So Tuesday, Wednesday, Thursday or Friday. Now the same applies for Friday. Etcetera.
                              Basically what loinburger said.

                              But what I still don't get is:
                              Note that you can easily remove the logical contradiction in the original problem by restating as follows:

                              a') If you are hanged you will be hanged in the following week
                              b') If you are hanged you will be hanged at noon
                              c) You will not know in advance that you are to be hanged
                              Why does this remove the logical contradiction?
                              Why is b) or b') relevant to the problem?

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                              • #30
                                Examine proposition (c) carefully: "you will not know in advice that you are to be hanged."

                                I.e. you have no idea if you will ever get hanged. However if you do get hanged, then
                                (a) it will happen next week and
                                (b) it will happen at noon.

                                Edit--it seems I've made a mistake on this. I assume the apostrophes indicate that prop (a) and (b) are mutually exclusive.

                                assume prop (c)= you will be hanged sometime next week, but you don't know on what day. You cannot know that both (a) you will be hanged in the following week and (b) you will be hanged at noon. You've explained why this is so.
                                Last edited by Zevico; August 24, 2009, 09:47.
                                "You say that it is your custom to burn widows. Very well. We also have a custom: when men burn a woman alive, we tie a rope around their necks and we hang them. Build your funeral pyre; beside it, my carpenters will build a gallows. You may follow your custom. And then we will follow ours."--General Sir Charles James Napier

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