Probability Theory: The Logic of Science 1st Edition

by E. T. Jaynes (Author), G. Larry Bretthorst (Editor)

40 customer reviews

ISBN-13: 978-0521592710

ISBN-10: 0521592712

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Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

Probability Theory: The Logic of Science

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Hardcover: 753 pages
Publisher: Cambridge University Press; 1 edition (June 9, 2003)
Language: English
ISBN-10: 0521592712
ISBN-13: 978-0521592710
Product Dimensions: 6.8 x 1.5 x 9.7 inches
Shipping Weight: 3.5 pounds (View shipping rates and policies)
Average Customer Review: 40 customer reviews
Amazon Best Sellers Rank: #86,025 in Books (See Top 100 in Books)
- #33 in Books > Science & Math > Physics > Mathematical Physics
- #318 in Books > Textbooks > Science & Mathematics > Physics
- #363 in Books > Textbooks > Science & Mathematics > Mathematics > Statistics

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Top customer reviews

Nice presentation of the nuances of probability

ByC. Valenteon August 31, 2013

Format: HardcoverVerified Purchase

I haven't finished reading this book yet, but the chapters I read so far gave me so much understanding of issues that are either obscure or absent in other probability and statistics books - but are of great practical importance - that I decided recommend it here.
It is true Jaynes' style is caustic against positions that are contrary to his owns. But he is very convincing on the reasons he gives to pinpoint the big holes in the so called "orthodox" school of probability and statistics.
Besides, the book is very lengthy, without being prolix, on its explanations, making it very pedagogical. Constrasting with that, nevertheless, Jaynes sometimes proposes examples that I believe only a mathematician or physicist with specific knowledge of the subject mentioned by the author will be able to follow. But those parts do not impact understanding of the main ideas.
It must be noted also that "Probaility theory: the logic of science" is mainly a theory book. Its goal is to present probability as an extension of deductive logic. It only brings a small number of exercises.
The best thing about this book, at least for me, is having a style that really makes me look forward reading the next page, something very rare for a technical book. In fact, the only other book I came across that had that virtue was the "Feynman Lectures on Physics".

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Powerful and Enlightening Text on Probability Theory and Logic

ByBleep Bloopon September 10, 2016

Format: HardcoverVerified Purchase

This book is having a profound impact on my scientific practices from a fundamental philosophical level. I wish I had known about it years ago, and I hope it gains academic popularity. I'm constantly recommending it to my colleagues and friends.

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A masterpiece of mathematical exposition

ByACCGTGGTGACA...on December 5, 2009

Format: HardcoverVerified Purchase

I have rarely learned so much from one book. This book is somewhat unusual among mathematical texts in that it is heavy on prose and (compared to other texts) light on equations. However, don't get the idea that it is any less rigorous! It simply focuses on precisely what most math books neglect: exhaustive explanation of the concepts...and to very good effect. Jaynes (and his editor) are possibly the most articulate writers of mathematics I've ever read. If you can read equations like English, you may not appreciate this. The rest of us will.
Summarizing the content: The book very exhaustively demonstrates how Bayesian statistical approaches subsume rather than compete with "orthodox" (sampling theory-derived) statistics. Importantly, it begins by deriving the sum and product rules (which in other texts are typically presented as axioms) from "common sense" considerations. In other words, what is usually treated as "given" in other statistics texts is shown to, in fact, depend on even more fundamental (and, thus, indisputable) considerations of what constitutes rational plausible reasoning. This places the whole endeavor of statistics on firmer ground than any other text I've seen. The book is worth buying for the first few chapters alone, but it just gets better from there.
Jaynes goes on to link Bayes rule to information-theoretic considerations and build up probability as an extended form of logic (as the title implies). In some cases this yields a new and deeper understanding of "orthodox statistical practice." In others it exposes (and explains) the absurdities of strictly frequentist approaches. Again, I have rarely learned so much from one book.
One caveat: It does not at all require a statistics background, but, obviously, some of Jaynes (mildly polemical) discourse will, of course, be lost on you without it.

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A classic that every serious student of the subject should have

Byramon December 3, 2013

Format: HardcoverVerified Purchase

This is a classic and belongs on every serious data scientists bookshelf. It goes beyond just simply teaching statistics and focuses on the thinking one needs to acquire in order to understand underlying principles. As others have said, it is not for beginners since it is not a simplistic how to style reference. It requires concentrated effort to become familiar with the thought patterns one needs to develop to be a serious scientist. There are other books that provide the nuts and bolts of statistics, but this book provides a deep understanding of the usage of the various methods.

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Most recent customer reviews

Really interesting book.

Very thought provoking and interesting look at the subject. It is the voice of common sense in a subject area where many people adhere to strict frequentist inference and the...Read more

Published 6 months ago by zach

The book from which to learn statistical reasoning

This is a wonderful book for anyone who needs to use statistical reasoning in scientific work. Jaynes develops probability theory as an extension of deductive logic, for the...Read more

Published 6 months ago by Gene Salamin

It's like getting to a twist at the end of a very good movie

My university was very strong in math logic and automata, but very weak in probability and statistics.Read more

Published 6 months ago by Maksym Zavershynskyi

the best possible worldview

One of the most important works of the 20th century (or any century) in both philosophy and physics, Jaynes' work lays the foundation for the physical ontology and epistemology of...Read more

Published 9 months ago by rgbatduke

Probability theory from a physicist point of viwe

Great book lots of fundamental ideas making the case for Bayes.

Published 1 year ago by jim stanton

If you work in Probability or want to, Please read this book!

I came to this book after coming from a frequentest education in the mid 1990's in research statistics.Read more

Published 1 year ago by Philip Leitch

Bayesian statistics masterpiece

This is a classic - perhaps THE classic exposition of Bayesian statistics for physical scientists. Among other things, Jaynes strove to rediscover and rehabilitate Sir Harold...Read more

Published 1 year ago by SDS Brooklyn

Everyone should be Bayesian

I really think everyone should read this book, and R. T. Cox's book. This books make plain the philosophical and mathematical reasons that all statistics should be Bayesian.Read more

Published 1 year ago by W. Sturgis

Bringing statistics back into the fold of science (written by a physicist)

If you ever thought hypothesis testing, p-values, etc. (as taught in most undergraduate courses) was "hokey," this book will validate your perceptions.Read more

Published 1 year ago by brethvoice

A way to rationality in an irrational world.

Finally have purchased this book. I feel a need these days to find an indisputable means to defend my opinions about almost everything.Read more

Published on March 21, 2015 by cheryl

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