One Hundred Prisoners and a Light Bulb

One Hundred Prisoners and a Light Bulb PDF Author: Hans van Ditmarsch
Publisher: Springer
ISBN: 3319166948
Category : Mathematics
Languages : en
Pages : 188

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Book 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.

One Hundred Prisoners and a Light Bulb

One Hundred Prisoners and a Light Bulb PDF Author: Hans van Ditmarsch
Publisher: Springer
ISBN: 3319166948
Category : Mathematics
Languages : en
Pages : 188

Get Book Here

Book 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.

One Hundred Prisoners and a Light Bulb

One Hundred Prisoners and a Light Bulb PDF Author: Hans van Ditmarsch
Publisher: Copernicus
ISBN: 9783319166933
Category : Mathematics
Languages : en
Pages : 188

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Book 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.

Human Rights at Home

Human Rights at Home PDF Author: United States. Congress. Senate. Committee on the Judiciary. Subcommittee on Human Rights and the Law
Publisher:
ISBN:
Category : Social Science
Languages : en
Pages : 460

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Book Description


Can You Solve My Problems?: Ingenious, Perplexing, and Totally Satisfying Math and Logic Puzzles (Alex Bellos Puzzle Books)

Can You Solve My Problems?: Ingenious, Perplexing, and Totally Satisfying Math and Logic Puzzles (Alex Bellos Puzzle Books) PDF Author: Alex Bellos
Publisher: The Experiment, LLC
ISBN: 1615193952
Category : Games & Activities
Languages : en
Pages : 373

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Book Description
Puzzle lovers, rejoice! Bestselling math writer Alex Bellos has a challenge for you: 125 of the world’s best brainteasers from the last two millennia. Armed with logic alone, you’ll detect counterfeit coins, navigate river crossings, and untangle family trees. Then—with just a dash of high school math—you’ll tie a rope around the Earth, match wits with a cryptic wizard, and use four 4s to create every number from 1 to 50. (It can be done!) The ultimate casebook for daring puzzlers, Can You Solve My Problems? also tells the story of the puzzle—from ancient China to Victorian England to modern-day Japan. Grab your pencil and get puzzling!

Players Making Decisions

Players Making Decisions PDF Author: Zack Hiwiller
Publisher: New Riders
ISBN: 013439464X
Category : Computers
Languages : en
Pages : 646

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Book Description
Game designers today are expected to have an arsenal of multi-disciplinary skills at their disposal in the fields of art and design, computer programming, psychology, economics, composition, education, mythology—and the list goes on. How do you distill a vast universe down to a few salient points? Players Making Decisions brings together the wide range of topics that are most often taught in modern game design courses and focuses on the core concepts that will be useful for students for years to come. A common theme to many of these concepts is the art and craft of creating games in which players are engaged by making meaningful decisions. It is the decision to move right or left, to pass versus shoot, or to develop one’s own strategy that makes the game enjoyable to the player. As a game designer, you are never entirely certain of who your audience will be, but you can enter their world and offer a state of focus and concentration on a task that is intrinsically rewarding. This detailed and easy-to-follow guide to game design is for both digital and analog game designers alike and some of its features include: A clear introduction to the discipline of game design, how game development teams work, and the game development process Full details on prototyping and playtesting, from paper prototypes to intellectual property protection issues A detailed discussion of cognitive biases and human decision making as it pertains to games Thorough coverage of key game elements, with practical discussions of game mechanics, dynamics, and aesthetics Practical coverage of using simulation tools to decode the magic of game balance A full section on the game design business, and how to create a sustainable lifestyle within it

Mathematical and Algorithmic Puzzles

Mathematical and Algorithmic Puzzles PDF Author: Pramod Ganapathi
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 560

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Book Description
This book presents serious mathematical and algorithmic puzzles that are mostly counterintuitive. The presented puzzles are simultaneously entertaining, challenging, intriguing, and haunting. This book introduces its readers to counterintuitive mathematical ideas and revolutionary algorithmic insights from a wide variety of topics. The presented solutions that are discovered by many mathematicians and computer scientists are highly counterintuitive and show supreme mathematical beauty. These counterintuitive solutions are intriguing to the degree that they shatter our preconceived notions, shake our long-held belief systems, debunk our fundamental intuitions, and finally rob us of sleep and haunt us for a lifetime. Multiple ways of attacking the same puzzle are presented which teach the application of elegant problem-solving strategies.

Manumission

Manumission PDF Author: Ralph C. Hamm III
Publisher: Xlibris Corporation
ISBN: 1469168111
Category : Fiction
Languages : en
Pages : 207

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Book Description
Ralph gives two suggestions for the four pages required for the Xlibris website. The first one is from Lesson 2, Section C in Manumission. The second one is from the synopsis for the book, which I believe is the Introduction. For the time being Ralph is choosing the Synopsis (Introduction) for the Xlibris website. Here they are: 1 From LESSON 2, SECTION C To B.A.N.T.U., and thus to the N.P.R.A., the single conscious force had to arise from partaking in, and understanding, the common ground upon which all of the ethnic groups in the prison stood. The creative collective had to be rooted within our common history. Be it benign or volatile, the truth had to be shared. Connectioncommunication...consciousness. It may have been true that the Irish were the single-most obstacle in the way of peace and unity in the prison, as they were during the cause of the abolition of slavery in the 1800s in this country and state, but it was the purpose of the collective we to reveal to them who was pulling their historical strings... the true anti-abolitionists (i.e., the institution of education, of justice, of government, and the media). We had to pull ourselves away from the inhuman voices of our ancestors, so that we could have a new and constructive dialogue. This dialogue could not be about retribution, revenge, or reparations, because none of us were responsible. This effort had to be one of conscious reconciliation, and recognizing that whether we liked it or not our futures were tied together. We were reclaiming our lives from those who claimed to possess us ...exploiting us by perpetuating our ancestral pasts against our todays and tomorrows. I spent a lot of time during the course of my day speaking with (educating) N.P.R.A. block representatives. I questioned them on the perception of the racial barometer (tension) in their respective cellblocks: Were the prisoners talking to one another more, as opposed to alienating and isolating themselves based upon their ethnicity? How often did the reps notice prisoners reading, and/or discussing our political situation -could they give a number, or gauge a percentage? What was the reps opinion on the impact of the race-relations seminars? Were there any prisoners whom they thought Larry and I should speak with on the matter of race and the importance of N.P.R.A. unity? I also made it a point to frequent the prison visiting room, not simply to troubleshoot (as was every board members responsibility) but to answer any questions posed by visitors regarding the N.P.R.A. political struggle. I saw these impromptu appearances in the visiting room as an opportunity to subtly ask the visitors if they noticed any changes in the demeanor of the prisoner they had come to visit; especially in regard to his impressions on politics, knowledge of history, and concern about race relations in the prison. The N.P.R.A. garnered invaluable information about the awareness of our constituency (and what may need to be improved upon in the way our communication with the prisoner body) utilizing the aforementioned approach -making our jobs as negotiators and instructors much easier; as well as affording us the first impression ability to spread the abolitionist agenda and ideology to the outside community (bypassing garbled media accounts of the struggle). Being a hands-on person, I always liked to follow the adage: if you want something done right, then do it yourself. In this manner, I knew that the job was accomplished to the best of ability, and the results were not being interpreted and relayed to me through a third or fourth party -having lost much in the translation, due to modification of the message and personal impression, in the retelling. One of the tactics that I u

Medical Care for the Prison Population

Medical Care for the Prison Population PDF Author: United States. Congress. House. Committee on the Judiciary. Subcommittee on Intellectual Property and Judicial Administration
Publisher:
ISBN:
Category : Social Science
Languages : en
Pages : 272

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Book Description


U.S. Policy Toward China

U.S. Policy Toward China PDF Author: United States. Congress. Senate. Committee on Foreign Relations
Publisher:
ISBN:
Category : China
Languages : en
Pages : 268

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Book Description


Astonish Me!

Astonish Me! PDF Author: Dominic Dromgoole
Publisher: Profile Books
ISBN: 1782837930
Category : Social Science
Languages : en
Pages : 480

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Book Description
A SUNDAY TIMES BEST FILM AND THEATRE BOOK OF 2022 'Anyone in love with the arts will fall in love with this beautifully written and fascinating book' Kathy Burke Astonish Me! is an adrenaline-charged rollercoaster through history's seismic first nights, exploring how individual artists can change and shape the story of culture - and allow us to see ourselves in new ways. It tells of times when 'the air between people seems to alter' as art achieves profound change, across the globe and across history. Dominic Dromgoole has created a radical and fresh canon. He begins in New York in 1963, as Lorraine Hansberry remakes American theatre and a nation's perception of race. And then, as the lights go up, we find ourselves in Renaissance Florence, watching Michelangelo's David being hauled into the Piazza della Signoria. The dust settles and we are transported to the birth of theatre in fifth-century Athens - and then to Paris to meet with Diaghilev and Stravinsky for the Rite of Spring. We witness kabuki's creation, as a radical women's performance, in Kyoto; the Sex Pistols shattering Thatcherite Britain at Manchester's Free Trade Hall; and watch as Hitchcock directs Psycho.