One hundred prisoners and a light bulb

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Hauptverfasser: Ditmarsch, Hans van 1959- (VerfasserIn), Kooi, Barteld (VerfasserIn)
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Sprache:English
Veröffentlicht: Cham [u.a.] Springer 2015
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Datensatz im Suchindex

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adam_text ONE HUNDRED PRISONERS AND A LIGHT BULB / VAN DITMARSCH, HANS : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS CONSECUTIVE NUMBERS HANGMAN MUDDY CHILDREN MONTY HALL RUSSIAN CARDS WHO HAS THE SUM?- SUM AND PRODUCT TWO ENVELOPES ONE HUNDRED PRISONERS AND A LIGHT BULB GOSSIP CLUEDO OVERVIEW DYNAMIC EPISTEMIC LOGIC ANSWERS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ONE HUNDRED PRISONERS AND A LIGHT BULB / VAN DITMARSCH, HANS : 2015 ABSTRACT / INHALTSTEXT A GROUP OF 100 PRISONERS, ALL TOGETHER IN THE PRISON DINING AREA, ARE TOLD THAT THEY WILL BE ALL PUT IN ISOLATION CELLS AND THEN WILL BE INTERROGATED ONE BY ONE IN A ROOM CONTAINING A LIGHT WITH AN ON/OFF SWITCH. THE PRISONERS MAY COMMUNICATE WITH ONE ANOTHER BY TOGGLING THE LIGHT SWITCH (AND THAT IS THE ONLY WAY IN WHICH THEY CAN COMMUNICATE). THE LIGHT IS INITIALLY SWITCHED OFF. THERE IS NO FIXED ORDER OF INTERROGATION, OR INTERVAL BETWEEN INTERROGATIONS, AND THE SAME PRISONER MAY BE INTERROGATED AGAIN AT ANY STAGE. WHEN INTERROGATED, A PRISONER CAN EITHER DO NOTHING, OR TOGGLE THE LIGHT SWITCH, OR ANNOUNCE THAT ALL PRISONERS HAVE BEEN INTERROGATED. IF THAT ANNOUNCEMENT IS TRUE, THE PRISONERS WILL (ALL) BE SET FREE, BUT IF IT IS FALSE, THEY WILL ALL BE EXECUTED. WHILE STILL IN THE DINING ROOM, AND BEFORE THE PRISONERS GO TO THEIR ISOLATION CELLS (FOREVER), CAN THE PRISONERS AGREE ON A PROTOCOL THAT WILL SET THEM FREE? AT FIRST GLANCE, THIS RIDDLE MAY SEEM IMPOSSIBLE TO SOLVE: HOW CAN ALL OF THE NECESSARY INFORMATION BE TRANSMITTED BY THE PRISONERS USING ONLY A SINGLE LIGHT BULB? THERE IS INDEED A SOLUTION, HOWEVER, AND IT CAN BE FOUND BY REASONING ABOUT KNOWLEDGE. THIS BOOK PROVIDES A GUIDED TOUR THROUGH ELEVEN CLASSIC LOGIC PUZZLES THAT ARE ENGAGING AND CHALLENGING AND OFTEN SURPRISING IN THEIR SOLUTIONS. THESE RIDDLES REVOLVE AROUND THE CHARACTERS’ DECLARATIONS OF KNOWLEDGE, IGNORANCE, AND THE APPEARANCE THAT THEY ARE CONTRADICTING THEMSELVES IN SOME WAY. EACH CHAPTER FOCUSES ON ONE PUZZLE, WHICH THE AUTHORS BREAK DOWN IN ORDER TO GUIDE THE READER TOWARD THE SOLUTION. FOR GENERAL READERS AND STUDENTS WITH LITTLE TECHNICAL KNOWLEDGE OF MATHEMATICS, ONE HUNDRED PRISONERS AND A LIGHT BULB WILL BE AN ACCESSIBLE AND FUN INTRODUCTION TO EPISTEMIC LOGIC. ALTERNATIVELY, MORE ADVANCED STUDENTS AND THEIR TEACHERS WILL FIND IT TO BE A VALUABLE REFERENCE TEXT FOR INTRODUCTORY COURSE WORK AND FURTHER STUDY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spellingShingle Ditmarsch, Hans van 1959-
Kooi, Barteld
One hundred prisoners and a light bulb
Science (General)
Logic
Computer science
Logic, Symbolic and mathematical
Popular Science
Popular Science in Mathematics
Mathematical Logic and Formal Languages
Mathematical Logic and Foundations
Informatik
Mathematische Logik (DE-588)4037951-6 gnd
Formale Sprache (DE-588)4017848-1 gnd
subject_GND (DE-588)4037951-6
(DE-588)4017848-1
(DE-588)4151278-9
title One hundred prisoners and a light bulb
title_auth One hundred prisoners and a light bulb
title_exact_search One hundred prisoners and a light bulb
title_full One hundred prisoners and a light bulb Hans van Ditmarsch ; Barteld Kooi
title_fullStr One hundred prisoners and a light bulb Hans van Ditmarsch ; Barteld Kooi
title_full_unstemmed One hundred prisoners and a light bulb Hans van Ditmarsch ; Barteld Kooi
title_short One hundred prisoners and a light bulb
title_sort one hundred prisoners and a light bulb
topic Science (General)
Logic
Computer science
Logic, Symbolic and mathematical
Popular Science
Popular Science in Mathematics
Mathematical Logic and Formal Languages
Mathematical Logic and Foundations
Informatik
Mathematische Logik (DE-588)4037951-6 gnd
Formale Sprache (DE-588)4017848-1 gnd
topic_facet Science (General)
Logic
Computer science
Logic, Symbolic and mathematical
Popular Science
Popular Science in Mathematics
Mathematical Logic and Formal Languages
Mathematical Logic and Foundations
Informatik
Mathematische Logik
Formale Sprache
Einführung
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