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- An Introduction to Probability and Inductive Logic
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1 of 1 people found the following review helpful

ByKindle Customeron June 6, 2002

I would HIGHLY recommend this book for anyone (including business men) who must make decisions with incomplete information and under uncertainty. Instead of focusing on the mechanics of statistics, it focuses on how to think about risky propositions.

I bought this book while working on a particular problem in machine learning, at a point where I had started realizing that I was losing clarity on my definition of probability. I was using the mechanics, but didn't clearly understand why the use was valid. This seemed an odd and embarrassing circumstance at the time, how could I not understand what "probability" means? As it turns out this confusion is one shared broadly in history of science, and in current applications of statistical mechanics.

Prof Hacking's writing is clear and entertaining, clearly aimed at engaging the reading audience.

I bought this book while working on a particular problem in machine learning, at a point where I had started realizing that I was losing clarity on my definition of probability. I was using the mechanics, but didn't clearly understand why the use was valid. This seemed an odd and embarrassing circumstance at the time, how could I not understand what "probability" means? As it turns out this confusion is one shared broadly in history of science, and in current applications of statistical mechanics.

Prof Hacking's writing is clear and entertaining, clearly aimed at engaging the reading audience.

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ByBerel Dov Lerneron February 14, 2002

The best thing about this book is that it teachs basic probability theory while keeping the reader constantly aware of the on-going debate regarding what it means to talk in terms of probabilities, and of how that debate has shaped the development of probability theory. If you are a student taking a course in probability and statistics who would like to genuinely understand the conceptual basis of all those formulas they are teaching you, I suggest you read this book.

Some readers will be disappointed by this book. Since the book concentrates on the conceptual basis of probability and inductive logic, it does not give the reader enough technical tools to really do much applied mathematics. On the other hand, by the time Hacking gets around to discussing what students of philosophy will likely view as the big philosophical pay-off of probability theory (i.e. Bayesian and frequentist contributions to the problem of justifying induction) he devotes to them a mere 20 pages of not terribly deep discussion.

Some readers will be disappointed by this book. Since the book concentrates on the conceptual basis of probability and inductive logic, it does not give the reader enough technical tools to really do much applied mathematics. On the other hand, by the time Hacking gets around to discussing what students of philosophy will likely view as the big philosophical pay-off of probability theory (i.e. Bayesian and frequentist contributions to the problem of justifying induction) he devotes to them a mere 20 pages of not terribly deep discussion.

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1 of 2 people found the following review helpful

ByMichael Emmett Bradyon June 29, 2004

Hacking's book is a job well done.He blends history,philosophy,logic,mathematics,statistics and science with wit and judicious scrutiny in general.Unfortunately,the book is slightly marred by inaccurate and/or incorrect statements about J. M. Keynes and/or his logical theory of probability.Describing Keynes as a"belief dogmatist"is way off the mark given Keynes's penchant for changing his mind as new and/or relevant information and analysis became available over his lifetime.Secondly,it is bizarre for Hacking to claim that Keynes had no use for frequency-type probability theories and jeered at the idea of relative frequency holding in the long run because in the long run we are all dead.(Hacking,pp.146-151).The only frequency theory Keynes ever rejected was that of John Venn.Keynes always considered frequency theories to be accurate and correct for some cases.However,they were not general in scope but limited in their applicability.The interested reader should consult chapter 8 of Keynes's A Treatise on Probability(1921).Finally, Keynes rejected the fallacy of long runism or conditional apriorism because of its unsound argument.The fact that in the long run some process may converge to a particular outcome in the limit offers no support to a do-nothing policy in the present.If the only available relevant evidence bearing on the probability of a proposition is frequency data then the logical probability is the same as the relative frequency estimate.The only caveat Keynes would add would be that the frequency data should have passed the Lexis Q Test for stability.

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2 of 4 people found the following review helpful

ByD.W.F.on December 23, 2006

This was the required text for a philosophy course I took in university. Coming from a computer science background, I knew that a philosophy course on probability and induction would likely be at a simpler and more rudimentary level than the statistics courses I'd taken, but I vastly underestimated the amount of dumbing down that this book (and the course) would inflict. I've seen elementary school math books with more rigour. Rather than clearly defining a concept, the author simply indundates the reader with examples, which aren't even that well chosen in many cases. To add insult to injury, the textbook insists on using a silly non-standard notation, "Pr" rather than "P" for discrete probabilities and a "/" rather than a "|" to denote conditionalization (a minor point, but likely to cause confusion for someone who decides to continue studies in this field). Since taking the course I've seen textbooks that accomplish a clearer explanation of the concepts in this book in less than a chapter.

If you have any background at all in logic, this book will serve as an insult to your intelligence and a waste of your money. For those that took the course with me but were relative novices with the subject material, the book confused more than it elucidated. For the novice I would reccomend picking up an introductory statistics textbook such as Moore & McCabe's <em>Intro to the Practice of Statistics</em> (which isn't great and is light on the philosophy but it's far better than this book). For anyone who's had some exposure to college mathematics, Larry Wasserman's <em>All of Statistics</em> is wonderful, and covers a good deal about the Bayesian viewpoint (moreover, it does so <em>properly</em>: being Bayesian and using Bayes' rule are two completely different things, and the latter does not imply the former).

If you have any background at all in logic, this book will serve as an insult to your intelligence and a waste of your money. For those that took the course with me but were relative novices with the subject material, the book confused more than it elucidated. For the novice I would reccomend picking up an introductory statistics textbook such as Moore & McCabe's <em>Intro to the Practice of Statistics</em> (which isn't great and is light on the philosophy but it's far better than this book). For anyone who's had some exposure to college mathematics, Larry Wasserman's <em>All of Statistics</em> is wonderful, and covers a good deal about the Bayesian viewpoint (moreover, it does so <em>properly</em>: being Bayesian and using Bayes' rule are two completely different things, and the latter does not imply the former).

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