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A New Kind of Science

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Title: A New Kind of Science
by Stephen Wolfram
ISBN: 1-57955-008-8
Publisher: Wolfram Media, Inc.
Pub. Date: 14 May, 2002
Format: Hardcover
Volumes: 1
List Price(USD): $44.95
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Average Customer Rating: 2.79 (309 reviews)

Customer Reviews

Rating: 1
Summary: A new kind of review
Comment: Why you are reading this review

I can only imagine how fortunate you must feel to be reading my review. This review is the product of my lifetime of experience in meeting important people and thinking deep thoughts. This is a new kind of review, and will no doubt influence the way you
think about the world around you and the way you think of yourself.

Bigger than infinity

Although my review deserves thousands of pages to articulate, I am limiting many of my deeper thoughts to only single characters. I encourage readers of my review to dedicate the many years required to fully absorb the significance of what I am writing here. Fortunately, we live in exactly the time when my review can be widely disseminated by "internet" technology and stored on "digital media", allowing current and future scholars to delve more deeply into my original and insightful use of commas, numbers, and letters.

My place in history

My review allows, for the first time, a complete and total understanding not only of this but *every single*
book ever written. I call this "the principle of book equivalence." Future generations will decide the relative merits of this review compared with, for example, the works of Shakespeare. This effort will open new realms of scholarship.

I am the author of all things

It is staggering to contemplate that all the great works of literature can be derived from the letters I use in writing this review. I am pleased to have shared them with you, and hereby grant you the liberty to use up to twenty (20) of them consecutively without attribution. Any use of additional characters in print must acknowledge this review as source material since it contains, implicitly or explicitly, all future written documents.

Rating: 1
Summary: The Emperor's New Kind of Clothes
Comment: This review took almost one year. Unlike many previous referees (rank them by Amazon.com's "most helpful" feature) I read all 1197 pages including notes. Just to make sure I won't miss the odd novel insight hidden among a million trivial platitudes.

On page 27 Wolfram explains "probably the single most surprising discovery I have ever made:" a simple program can produce output that seems irregular and complex.

This has been known for six decades. Every computer science (CS) student knows the dovetailer, a very simple 2 line program that systematically lists and executes all possible programs for a universal computersuch as a Turing machine (TM). It computes all computable patterns, including all those in Wolfram's book, embodies the well-known limits of computability, and is basis of uncountable CS exercises.

Wolfram does know (page 1119) Minsky's very simple universal TMs from the 1960s. Using extensive simulations, he finds a slightly simpler one. New science? Small addition to old science. On page 675 we find a particularly simple cellular automaton (CA) and Matthew Cook's universality proof(?). This might be the most interesting chapter. It reflects that today's PCs are more powerful systematic searchers for simple rules than those of 40 years ago. No new paradigm though.

Was Wolfram at least first to view programs as potential explanations of everything? Nope. That was Zuse. Wolfram mentions him in exactly one line (page 1026): "Konrad Zuse suggested that [the universe] could be a continuous CA." This is totally misleading. Zuse's 1967 paper suggested the universe is DISCRETELY computable, possibly on a DISCRETE CA just like Wolfram's. Wolfram's causal networks (CA's with variable toplogy, chapter 9) will run on any universal CA a la Ulam & von Neumann & Conway & Zuse. Page 715 explains Wolfram's "key unifying idea" of the "principle of computational equivalence:" all processes can be viewed as computations. Well, that's exactly what Zuse wrote 3 decades ago.

Chapter 9 (2nd law of thermodynamics) elaborates (without reference)on Zuse's old insight that entropy cannot really increase in deterministically computed systems, although it often SEEMS to increase. Wolfram extends Zuse's work by a tiny margin, using today's more powerful computers to perform experiments as suggested in Zuse's 1969 book. I find it embarassing how Wolfram tries to suggest it was him who shifted a paradigm, not the legendary Zuse.

Some reviews cite Wolfram's previous reputation as a physicist and software entrepreneur, giving him the benefit of the doubt instead of immediately dismissing him as just another plagiator. Zuse's reputation is in a different league though: He built world's very first general purpose computers (1935-1941), while Wolfram is just one of many creators of useful software (Mathematica). Remarkably, in his history of computing (page 1107) Wolfram appears to try to diminuish Zuse's contributions by only mentioning Aiken's later 1944 machine.

On page 465 ff (and 505 ff on multiway systems) Wolfram asks whether there is a simple program that computes the universe. Here he sounds like Schmidhuber in his 1997 paper "A Computer Scientist's View of Life, the Universe, and Everything." Schmidhuber applied the above-mentioned simple dovetailer to all computable universes. His widely known writings come out on top when you google for "computable universes" etc, so Wolfram must have known them too, for he read an "immense number of articles books and web sites" (page xii) and executed "more than a hundred thousand mouse miles" (page xiv). He endorses Schmidhuber's "no-CA-but-TM approach" (page 486, no reference) but not his suggestion of using Levin's asymptotically optimal program searcher (1973) to find our universe's code.

On page 469 we are told that the simplest program for the data is the most probable one. No mention of the very science based on this ancient principle: Solomonoff's inductive inference theory (1960-1978); recent optimality results by Merhav & Feder & Hutter. Following Schmidhuber's "algorithmic theories of everything" (2000), short world-explaining programs are necessarily more likely, provided the world is sampled from a limit-computable prior distribution. Compare Li & Vitanyi's excellent 1997 textbook on Kolmogorov complexity.

On page 628 ff we find a lot of words on human thinking and short programs. As if this was novel! Wolfram seems totally unaware of Hutter's optimal universal rational agents (2001) based on simple programs a la Solomonoff & Kolmogorov & Levin & Chaitin. Wolfram suggests his simple programs will contribute to fine arts (page 11), neither mentioning existing, widely used, very short, fractal-based programs for computing realistic images of mountains and plants, nor the only existing art form explicitly based on simple programs: Schmidhuber's low-complexity art.

Wolfram talks a lot about reversible CAs but little about Edward Fredkin & Tom Toffoli who pioneered this field. He ignores Wheeler's "it from bit," Tegmark & Greenspan & Petrov & Marchal's papers, Moravec & Kurzweil's somewhat related books, and Greg Egan's fun SF on CA-based universes (Permutation City, 1995).

When the book came out some non-expert journalists hyped it without knowing its contents. Then cognoscenti had a look at it and recognized it as a rehash of old ideas, plus pretty pictures. And the reviews got worse and worse. As far as I can judge, positive reviews were written only by people without basic CS education and little knowledge of CS history. Some biologists and even a few physicists initially were impressed because to them it really seemed new. Maybe Wolfram's switch from physics to CS explains why he believes his thoughts are radical, not just reinventions of the wheel.

But he does know Goedel and Zuse and Turing. He must see that his own work is minor in comparison. Why does he desparately try to convince us otherwise? When I read Wolfram's first praise of the originality of his own ideas I just had to laugh. The tenth time was annoying. The hundredth time was boring. And that was my final feeling when I laid down this extremely repetitive book:exhaustion and boredom. In hindsight I know I could have saved my time. But at least I can warn others.

Rating: 1
Summary: "A New Kind of Revisionism"
Comment: Hi, my last review of this book had the title "A New Kind of Plagiarism", since then, very knowledgeable people have pinpointed with exactitude were the plagiarism was (almost the whole book!). A few others still claim that the book is good (how many of them are people who work for Wolfram?), to these people I ask the following question: can you point to a single original idea in the book? (Something that Wolfram actually discovered -because an astounding amount of things he claims are his are in reality other peoples inventions-- and that he did not discover a long time ago and already published). I wonder how many of the positive reviews were written by people who actually went to a University, I ask not as an insult but because If you commit plagiarism when studying in a University you can even get expelled (and they hammer this non-stop when you are in there), why isn't Wolfram "expelled" from the scientific community: simply because he is not in it!. Moreover, this is why he did not make this a scientific article but a book for the public at large; otherwise, the risk of being discovered (as a plagiarist) would have been too great. Guess what? You were discovered! It is amazing how short the memory of the public is. Most people cannot even remember all the fuzz that was made over fractals a while ago, no wonder some of them actually believe Wolfram did something original. These short attention span reviewers do not seem to grasp just how serious scientific fraud is!. Wolfram's book (sorry, I meant to say his copy pasting of other peoples work) should be condemned, no mater how entertaining it might be (or how good it might be as a general introduction to the discipline). Some reviewers think that the notes in the book contain the necessary references: THEY DO NOT. Wolfram is claiming long published (and much commented in popular Science Divulgation books) discoveries by others as his own. As if the plagiarism was not bad enough, the revisionist nature of his "history" of the discipline is unforgivable in itself (trying to erase the actual discoverers of the things he is claiming for himself). This kind of thing might have been permitted in 1950 Russia but in the XXI century in our country it is unbelievable that is being so. As another reviewer pointed out, "In his interview with "The Daily Telegraph" [May 15 2002] titled as "Is this man bigger than Newton and Darwin?" Wolfram remarks on his book as follows: "If other people don't get it, it's their problem, not mine." This is the most horrible attitude toward science I have ever encountered. He makes very little effort to present his what-so-called "New Science" to his peers. " Another reviewer writes:
"If one browses through all the reviews written here, one realizes that those who praise Wolfram are NOT SPECIFIC at all about why he is so great except that he has in general touched almost every aspect of modern science, a non-sense view. On the other hand, readers who have negative viewpoints of the book are very SPECIFIC about their opinion and they express why Wolfram's book is neither revolutionary nor new. "
"Like most people out there I believe that Wolfram owes a big apology to the scientific community and those non-expert enthusiasts who have a huge thirst for science but misled by non-scientists like Wolfram. "
"Mr. Wolfram is the author of Mathematica. Again, he takes the work of hundreds of people without giving them any credit. Disgusting."

"Why Mr. Wolfram can get away with all this. Read the first chapter of Philip Greenspun. If you have money you can invent truth. "

I quote these to wet your appetite for some excellent reviews so please read them all, believe me, they are worth your time, Wolfram's book is not!.

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