Téléchargez le livre : One Hundred Prisoners and a Light Bulb

One Hundred Prisoners and a Light Bulb

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Éditeur :

Copernicus


Paru le : 2015-07-09

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Description

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.  Additionally, more advanced students and their teachers will find it to be a valuable reference text for introductory course work and further study.
Pages
188 pages
Collection
n.c
Parution
2015-07-09
Marque
Copernicus
EAN papier
9783319166933
EAN PDF
9783319166940
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
18
Taille du fichier
5990 Ko
Prix
21,09 €
EAN EPUB
9783319166940
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
18
Taille du fichier
3871 Ko
Prix
21,09 €

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