Finite and Infinite Games

Book Description

An extraordinary book that will dramatically change the way you experience life.
Finite games are the familiar contests of everyday life, the games we play in business and politics, in the bedroom and on the battlefied -- games with winners and losers, a beginning and an end. Infinite games are more mysterious -- and ultimately more rewarding. They are unscripted and unpredictable; they are the source of true freedom.
In this elegant and compelling work, James Carse explores what these games mean, and what they can mean to you. He offers stunning new insights into the nature of property and power, of culture and community, of sexuality and self-discovery, opening the door to a world of infinite delight and possibility.
"An extraordinary little book . . . a wise and intimate companion, an elegant reminder of the real."
-- Brain/Mind Bulletin

Customer Reviews:

provides an alternative way to look at the world.......2007-09-23

Finite and Infinite Games divides what people do into two aspects, finite games and infinite games. Infinite games are the preferred approach to life. Finite games are played to win. Infinite games are played to continue play. This book made me wish I knew more about philosophy as the author is obviously providing a counterpoint to much of previous philosophy. So I think that a reader with a moderate knowledge of philosophy would benefit more from this book than I did. Still I got a lot out of this book and highly recommend it. I think this is a book that one can come back to often in one's travels through philosophy.

Another perspective.......2007-05-13

This is the second time I've owned this book; lost it in a downsizing. But it
was such a different way of looking at life, I needed to have it to refer to.
It views our behavior as a series of games; somw played to win, others for
the pleasure of continuing to play. I think such a viewpoint helps us to see
what we are doing in a more important way - perhaps the temporary and fleet-
ing versus the more satisfying over the long pull. I heartily recommend it to
those who wish to be more conscious of what they are doing, so they may be
able to distinguish between what is temporary and what lasts.

This book changed my life........2007-02-03

I ran into this book randomly while traveling. It changed my life. It's a new framework for seeing the world and although it may not speak to everyone, it is certainly written in clear prose and will give the reader a lot to ponder. I heartily recommend it for anyone on a journey, whether it be literal or metaphorical.

Beyond Winning and Losing.......2007-01-29

It is hard to imagine reading Finite and Infinite Games without having one's perspective on life dramatically altered. Carse differentiates between two modes of thinking and behaving in the world - one mode is where we strive in an essentially humourless way to `win' within the same old meaningless games without ever questioning why we are doing it, and the other mode is where we play in order to be surprised, and where `winning' and `losing' become irrelevant. Carse sees the world as being utterly engrossed in the first mode, in finite games, whereas individuals engaged in the second mode, the players of the Infinite Game, appear very much to be a minority, generally ignored and often actively oppressed by the humourless finite game players. Carse-related psychology at Radical Uncertainty

I admire this book.......2006-08-28

Not for everyone, but, for the right kind of person it is a fantastic and very unusual little book which touches on some of the most profound issues of humanity in a way that is not at all dogmatic or didactic. It is a book that will invite many interpretations; it is not clear cut. It will make you think Big Time! And its a very short read if you're busy! I'm buying my second copy because I lent it to someone...somewhere... It will probably be my 3rd or 4th reading. Highly recommended for the right kind of person! Enjoy!

Forever Undecided: A Puzzle Guide to Godel

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Where is an example?
Brain candy in a logical form
Unique method uses puzzles to explain Go:del's theorem

Forever Undecided: A Puzzle Guide to Godel
Raymond M. Smullyan
Manufacturer: Knopf
ProductGroup: Book
Binding: Hardcover

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ASIN: 0394549430
Release Date: 1987-03-12

Customer Reviews:

Where is an example?.......2002-12-23

In the every day practice of mathematics or viewing the works of others, I have never ran across or derived a self-referential statement of the kind that Goedel used in his proof of the incompleteness theorems. The appearance of these kinds of statements takes place only in the context of mathematical logic, and their construction is is somewhat artificial, involving the use of 'diagonalization'. It is for this reason that I don't find the incompleteness theorems in any way troubling for the "truth" of mathematics. If they kept arising in the everyday practice of mathematics, this would lend support to the incompleteness theorems. As such though there is no "empirical" support for them, and until they do arise they can be safely ignored.

The results of Goedel have been used to cast doubt on the "foundations" of mathematics and the "strong AI" problem. But they have also been used to support "strong AI", as it is felt that the existence of self-referential statements are an indication that a machine is conscious. All of these arguments are interesting, but they have yet to help in the practice of mathematics or in the construction of intelligent machines. In fact, too long an emphasis on these results has probably retarded the advancement of artificial intelligence research. The incompleteness theorems though have stimulated research in the field of 'automatic theorem proving' and in this respect they can be said to have had some value.

This book gives an overview of Goedel's incompleteness theorems and its corollaries from a "semi-popular" point of view, meaning that readers are expected to have some background in elementary logic as well as philosophy, in order to appreciate the contents. The author is eloquent and enthusiatic throughout the book, and this serves to make the book more palatable for the absolute beginner. It would be unfortunate maybe that readers will begin to doubt the "truth" of mathematics after reading this book, but that doubt could also be viewed as a virtue, in that it would motivate further thinking and research. But again, to this date there has been no self-referential statement that has appeared in the everyday practice of mathematics....that I know of anyway.

Brain candy in a logical form.......2000-03-14

Do you believe that you know what you believe? Is it possible to believe only those things that are true? These questions are but two of the many addressed in this book by Professor Smullyan, and the answers will surprise you!
With most of the material in the form of puzzles, and nearly all of them solved, it is possible for a logical novice to read and understand the book. However, it is recommended that you find another source for explanations of the standard logical operators and read it first. Even then, you should not be surprised to find yourself rereading a solution thinking that the answer simply cannot be correct. But keep trying, as eventually you will begin to understand, and come to appreciate some of the unresolvable consequences of mathematics, the most precise of disciplines. For while Professor Smullyan may not be logically consistent, he is consistently logical. (This is of course a bad pun, but it is no worse than some of the groaners in the book.)
Finally, as the following example shows:

"The following dialogue ensues between a student and his theology professor:

Student: If I believe that God exists, then I will also believe that I will be saved?
Professor: It that is true, then God exists.
Student: If I believe that God exists, then will I be saved?
Professor: If God exists, then that is true.

Prove that if the professor is accurate and if the student believes the professor, then God must exist and the student will be saved"

You may also be given insight into one of the most fundamental questions regarding human existence.

Published in Journal of Recreational Mathematics, reprinted with permission.

Unique method uses puzzles to explain Go:del's theorem.......1998-09-03

This is a great book for anyone wanting to understand Go:del's theorem, which basically proves that logic is inherently flawed. The book is very readable. Just make sure that you don't let your head explode.

Brain Busters! Mind-Stretching Puzzles in Math and Logic

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Unhelpful for LSAT prep
Ingenious!
The Mathematical Poetry of a Puzzle Artist: Barry R. Clarke
Mind S-t-r-e-t-c-h-i-n-g!

Brain Busters! Mind-Stretching Puzzles in Math and Logic
Barry R. Clarke
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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ASIN: 0486427552

Book Description

Puzzle lovers of every persuasion, prepare to be mystified and wonderously maddened! These 51 original puzzles by Barry R. Clarke, puzzle columnist for the Daily Telegraph (UK), present challenges ranging from moderate to difficult and span a terrific range of clever conundrums : word puzzles, complex crosswords, and math and logic puzzles.

The first section, Popular Puzzles, calls for a moderate amount of effort and imagination. It features complex crosswords in which cryptic clues must be solved in sequence and the solutions fitted together on the grid. Teaser Tales, the following section, contains longer puzzles in the form of amusing stories with a series of clues that must be solved to provide a single solution at the end.

The final section represents the Mount Everest of the collection, the Advanced Puzzles. Designed to stretch the mental muscles, these puzzles are more mathematical than their predecessors, but even the most difficult ones require no greater knowledge than high school algebra. Most of the puzzles include hints, and solutions are provided for all (no peeking!).

Customer Reviews:

Unhelpful for LSAT prep.......2007-09-14

This was posted near LSAT review materials. I did not find it helpful. Too many of the questions are dissimilar from the type needed for the LSAT logic section.
It was also frustratingly difficult, because the directions and hints were too cryptic.

Ingenious!.......2003-12-07

Almost exactly ninety years ago, Sam Loyd's 'Cyclopaedia of Puzzles' was published in New York. This was a collection of a very large number of his puzzles which had mostly appeared in the American Press. Many were illustrated with delightful pictures at the head of the page, drawn in Sam's own hand. Barry Clarke's new book has marked similarities in layout with illustrations drawn by the author at the head of many pages and many puzzles had previously appeared in the 'Brain Twister' column in the Daily Telegraph. The drawings are remarkably like Sam Loyd's, but there the similarity stops. Sam Loyd's book was foolscap size and hard bound while Barry's has the typical Dover cover, but the real difference is in the puzzles themselves. Barry's puzzles are graded in difficulty, so that readers who do not wish to be challenged too much can start with the first section and gradually work themselves in. Also, the puzzles are ingenious and well thought out and hints are provided before the full solutions for those who need a bit of steering. This is altogether a very good read, guaranteed to keep the puzzler in the family busy over Christmas. I thoroughly recommend it.

(Angela Newing has written for The Daily Telegraph, UK)

The Mathematical Poetry of a Puzzle Artist: Barry R. Clarke.......2003-11-11

In this most recent adventure into the Puzzling World of Barry R. Clarke, I found my mind quite well entertained. What I enjoy most about logic puzzles is their requirement for little if any prior knowledge, and each of Barry's "puzzlers" is no different. However, what is missing in most logic and mathematical puzzle books is a touch of true creativity and humor. In Brain Busters! I found that while my mathematical mind was challenged to the limit, I was also encouraged to think in new and original ways, moving from basic logic to the simple yet complex world of recreational mathematics. Barry Clarke pushes your mind to the edge with this most recent creation, and holds you there.

As Mr. Clarke notes in the introduction, his reasons for this puzzle compilation included the pure enjoyment of creating logical and mathematical art. Fortunately for us, Barry's creations serve not only the role of entertainment, but also more importantly the role of instruction, as he leads us down different paths of twisting logic, with excellent scenery along the way. If you view mathematics as a form of poetry, you will certainly enjoy this opportunity to learn from a mathematical wizard. Brain Busters! is indeed a "mind-stretching" experience, one that allows you to see the way Barry's imagination is captured in a distinctly unique manner in each of his puzzles. His mathematical imagination is the communality that runs through each puzzle, but at the same time it is his creative touch that serves as the specificity, giving great variation to this excellent and enjoyable work.

Mind S-t-r-e-t-c-h-i-n-g!.......2003-10-24

I'm always thrilled when an exciting book of puzzles appears on the bookshelves, especially if it is by Barry Clarke.

Brain Busters, like Barry's other books, demonstrates his wonderful ability to create funny offbeat puzzles as only he can. Besides the imaginatively written puzzles, I really enjoyed his charming cartoons that accompany many of them. My favourite one is of a sorcerer who has just turned the furious Count Lettuce into a little furry creature.

Book Description

Did you know that games and puzzles have given birth to many of today's deepest mathematical subjects? Now, with Douglas Ensley and Winston Crawley's Introduction to Discrete Mathematics, you can explore mathematical writing, abstract structures, counting, discrete probability, and graph theory, through games, puzzles, patterns, magic tricks, and real-world problems. You will discover how new mathematical topics can be applied to everyday situations, learn how to work with proofs, and develop your problem-solving skills along the way.

Online applications help improve your mathematical reasoning.
Highly intriguing, interactive Flash-based applications illustrate key mathematical concepts and help you develop your ability to reason mathematically, solve problems, and work with proofs. Explore More icons in the text direct you to online activities at www.wiley.com/college/ensley.

Improve your grade with the Student Solutions Manual.
A supplementary Student Solutions Manual contains more detailed solutions to selected exercises in the text.

Customer Reviews:

wonderful problems and solutions.......2006-02-05

This book is much less conventional than the other established texts for freshman or sophomore discrete math/computer science courses. It places more emphasis on math problem solving, and contains a wonderful selection of interesting and challenging problems based on puzzles and games.

My impression of reading through the book is the focus is more on establishing a solid foundation on mathematical reasoning; using discrete math puzzles and games as examples in achieving the goal. It also contains much less of boring computational/ algorithmic worked examples than regular texts. This makes the book immensely more useful for math enthusiats and high-school math competition contestants, in addition to its regular use in courses for math majors in universities. Computer science majors with a focus on algorithm and programming may feel the book has too much of a math-centric problem solving focus, and probably should look elsewhere.

Overall, a fascinating read; highly recommended.

Average customer rating:

Symbolic logic still useful
This ain't Wonderland
Reminds us that math can be FUN
great book to teach logic to children

Symbolic Logic and the Game of Logic
Lewis Carroll
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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ASIN: 0486204928

Amazon.com

Yes, this is the Lewis Carroll who wrote Alice in Wonderland, and these two works show the same quirky humor. Here you see Carroll the mathematician at his playful best. Don't let the title of the first work mislead you--this isn't about modern symbolic logic but about ways of expressing classical logic with symbols. It's loaded with amusing problems to delight any mathematical puzzler. In the second work he turns logic into a game played with diagrams and colored counters, giving you hundreds of challenging and witty syllogisms to solve. Great mind-stretching fun.

Book Description

Over 350 ingenious problems involving classical logic: logic is expressed in terms of symbols; syllogisms and the sorites are diagrammed; logic becomes a game played with 2 diagrams and a set of counters. Two books bound as one.

Customer Reviews:

Symbolic logic still useful.......2007-01-22

Probably is not often taught any more as it has been replaced by other methods, still has use because it teaches alternate methods and formats of solving logic problems. Since this book was not written recently the language can be a bit confusing, but otherwise is a quick and somewhat enjoyable read.

This ain't Wonderland.......2006-07-22

Some books you read to relax, some to learn, and some...well, some will make you think and wonder and grow. This is one of those.

The problems here have been around for more than a century, and yet they are still as effective in teaching logic as the day they were written.

If you are getting ready for the LSAT, this is not a bad place to start. If you just want to tease your intellect, this is a great source for hours of amusement.

Reminds us that math can be FUN.......2000-01-21

Math is fun, but the rhetoric of most 'taught' (probably an overstatement) math (and, by extension, logic) is so incredibly dry that the forest is rarely seen for the bark on the trees. But here Carroll, with tongue lodged firmly in cheek, turns the rhetoric (and by extension, the way we think about math problems) on its ear, and the result is an often incredibly funny approach to math and logic problems which stays with you and ultimately worms its way into your quotidian. I'll also say that, as an atrociously poor student in high school, this book allowed me to ace the SATs, and then ten years later the GREs.

great book to teach logic to children.......1999-05-26

This book by Lewis Carroll is a wonderful source to learn the basics of logic in a funny and natural way. It can be used as a self-study guide or as a manual for educators teaching elements of logic to schoolchildren. It is very clear and consequent and gives the basic idea of propositions and syllogisms. The theory is framed in an unusual game that makes it much more understandable. As always Carroll's examples are a little bit absurdic but this is exactly what makes them humorous, attractive and involving. The book is also a great brain teaser for readers of all ages. Unfortunately it is not as well known as Alice in Wonderland but it has been translated into many foreign languages. I widely used the Russain translation when teaching logic to schoolchildren in St. Petersburg, Russia. Currently being a doctoral student in the States I try to introduce it to my colleagues.

Average customer rating:

Tries, falls just short.
How bunnies multiply
Some Quick Math for Potential Buyers
Captivating subject, casual approach
Doesn't quite work

Mathematics and Sex
Clio Cresswell
Manufacturer: Allen & Unwin
ProductGroup: Book
Binding: Paperback

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ASIN: 1741141591

Book Description

Mathematics and sex may make odd bedfellows, but this fun, flirty look at the relationship between the two subjects shows that they are closely related. Revealing the ways in which math can help unlock the secrets of love, lust, and life's search for the ideal partner, this intriguing text covers topics such as dating services, dating as game theory, the mathematical logic of affairs, and the numbers behind orgasms. Math's answers to love's burning questions How much should one compromise in a relationship? Exactly what is it that is attractive in a lover? How many partners should one have before settling down? and What makes the infamous biological clock tick? are also revealed.

Customer Reviews:

Tries, falls just short........2006-12-14

Clio Cresswell, Mathematics and Sex (Allen and Unwin, 2004)

One doesn't usually think about the terms "mathematics" and "sex" going together. Clio Cresswell is out to change that perception, and her attempt here is a witty, albeit slightly shallow, little book that's definitely worth a look if you enjoy either mathematics or sex (and are there really people out there who enjoy neither?).

Cresswell's approach to the topic is to treat readers like laypersons, which is much appreciated by those of us who are somewhat innumerate. Cresswell dedicates each of the book's chapters to one particular aspect of the dating and mating ritual and expounds upon current mathematical hypotheses that attempt to explain why we do the things we do. Perversely, if there is a failing to this approach, it's that Cresswell sometimes treats us a bit too much like laypersons; some more detail on how the equations scientists have come up with work would have been nice.

Still, it's a game try, and a fun one, worth reading. ***

How bunnies multiply.......2006-11-10

Good book. Never thought of the subject in that way before, however it was very interesting reading.

Some Quick Math for Potential Buyers.......2006-05-13

Here is some math for customers considering this book. There are 7 reviews preceeding mine. 5 are right. 2 are wrong.
The reviews that are right have noticed that the book contains no math. The reviews that are wrong have noticed that the book is vaguely about sex. Actually it's not. It's about the difficulty difficulty some academics have in starting a sentence and completing it on the same topic.
The trouble with invoking applied mathematics is that you have to support what you're saying. Therefore when offering an equation or formula you traditionally state what the variables stand for.
I assume that the author has this information but finds it difficult to restate in common English. Almost every topic is concluded in this drift: "Well it would be much too time consuming to explain what this formula means but isn't it nice to know that it exists?"
No. I mean it would be, but we don't know that the formula does exist (hapless readers that we are). To convince us, you have to explain it. Explain: which means state clearly and describe how it works.
Here's an example, misanthropically quoted by MSN this morning.
If you are looking for a mate for life the correct formula is to
go out with 12 people and then choose the next best one after that, which seems to mean better than number 11 but not necessarily as good as number 12. Yes, just ducky, but why is that true?: Sorry, explanation time is over. Exam will be at the sports bar on Saturday night. Don't blow it.
Now look: does this "formula" stand up on its own two feet or is it also drunk and falling off its barstool? Does it still count if all 12 of them dumped YOU? Suppose they were all alcoholics, or verbally abusive? Suppose your relationship with each lasted only three days? Suppose, less dramatically, that following the normal psychological model, you simply picked the same "type" every time? Do you actually have enough information to proceed or should you still see a lawyer about pre-nups. And why 12? Why not 30 or the square root of 17?
Perhaps the author was afraid that if she actually explained herself clearly her readers would spend so much time working out the fractals between margaritas that they'd never go home with anyone. She should ease her mind and write the book correctly. No one is going to take her conclusions to the field. The subject is interesting as theory. And it is interesting. I just wish the author had taken advantage of the fact.

Captivating subject, casual approach.......2006-02-26

I [heart] Ms. Cresswell's premise: relationships and sex are approachable through mathematics. However, her approach leaves me either wanting more mathematics or a more formal voice. She doesn't skimp on the formulaic jargon, but does skimp on its explanation. You're teasing us Clio! Don't be so coy. If you're going to show us the nuts and bolts of how math can uncover the secrets of relationships and sex, then show us the full monty, and give me the details. Need the info. Yeah. Anyway, the "number of 'bonks' to successful pair bonding" tip is worth the price of admission alone but there are other insightful and perhaps instructional tips hidden in this work as well.

Doesn't quite work.......2005-11-23

How do you make maths sexy? Write a book about maths and sex! Trouble is, this book doesn't quite work. If you are already heavily immersed in maths and mathematical modelling, then here are some thought-provoking models that can amusingly be applied to sex. However, anyone unmathematical will see this as simply turning life experiences into a set of gobbledygook equations that add nothing to understanding, and reinforce lots of negative stereotypes about geeky maths.

The author writes rather too often about her sexual past, her personal views on orgasm, etc. It would have been better if she'd avoided personalising it altogether. Maybe she thought personal sex/relationship anecdotes would be funny, but if so, it didn't work with this reader.

Automata, Logics, and Infinite Games: A Guide to Current Research (Lecture Notes Series)

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Automata, Logics, and Infinite Games: A Guide to Current Research (Lecture Notes Series)
E. Ed. Gradel
Manufacturer: Springer-Verlag
ProductGroup: Book
Binding: Paperback

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Finite Model Theory and Its Applications (Texts in Theoretical Computer Science. An EATCS Series)

ASIN: 3540003886

Book Description

A central aim and ever-lasting dream of computer science is to put the development of hardware and software systems on a mathematical basis which is both firm and practical. Such a scientific foundation is needed especially for the construction of reactive programs, like communication protocols or control systems.

For the construction and analysis of reactive systems an elegant and powerful theory has been developed based on automata theory, logical systems for the specification of nonterminating behavior, and infinite two-person games.

The 19 chapters presented in this multi-author monograph give a consolidated overview of the research results achieved in the theory of automata, logics, and infinite games during the past 10 years. Special emphasis is placed on coherent style, complete coverage of all relevant topics, motivation, examples, justification of constructions, and exercises.

Rights and Decisions: Formal Models of Law and Liberalism (Law and Philosophy Library)

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Rights and Decisions: Formal Models of Law and Liberalism (Law and Philosophy Library)
M.V. van Hees
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0792337549

Book Description

The game-theoretic analysis of rights forms a rapidly growing field of study to which this book makes an important contribution. Van Hees combines the game-theoretic approach with the results and tools from logic, in particular from the logic of norms. The resulting synthesis between logic and game theory provides a firm foundation for the game-theoretic approach. The analysis shows how different types of right are related to the strategic opportunities of individuals and of groups of individuals. Furthermore, the book makes an important contribution to the theory of liberalism, in particular to the study of the so-called `liberal paradoxes'. It demonstrates how the paradoxes resurface in the new decision-theoretic framework. In fact, they not only do so at the level of `ordinary' decision making, but also at the level of constitutional decision making.

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The Logic of Strategy

Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Hardcover

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Book Description

Edited by three leading figures in the field, this exciting volume presents cutting-edge work in decision theory by a distinguished international roster of contributors. These mostly unpublished papers address a host of crucial areas in the contemporary philosophical study of rationality and knowledge. Topics include causal versus evidential decision theory, game theory, backwards induction, bounded rationality, counterfactual reasoning in games and in general, analyses of the famous common knowledge assumptions in game theory, and evaluations of the normal versus extensive form formulations of complex decision problems.

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Math Logic Puzzles
Kurt Smith
Manufacturer: Sterling
ProductGroup: Book
Binding: Paperback

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ASIN: 0806938641

Book Description

Seventy-five fun puzzles to help improve mathematical and thinking skills. Decipher various clues by adding, subtracting, multiplying, dividing, reading carefully, and using powers of reason. Transfer the information onto grids that are provided, and find the solution to a given set of circumstances. "...the book is a delightful collection of problem situations that teachers and students will enjoy using..."--Mathematics.

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