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A New Kind of Science 1st Edition

4.3 out of 5 stars 679 ratings

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Starting from a collection of simple computer experiments illustrated by striking computer graphics Stephen Wolfram shows in this landmark book how their unexpected results force a whole new way of looking at the operation of our universe. Wolfram uses his approach to tackle a remarkable array of fundamental problems in science, from the origins of apparent randomness in physical systems, to the development of complexity in biology, the ultimate scope and limitations of mathematics, the possibility of a truly fundamental theory of physics, the interplay between free will and determinism, and the character of intelligence in the universe.

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From the Publisher

Rule 30 cellular automata

"By challenging scientific orthodoxy, Wolfram may force scientists to explore new avenues in their quest for knowledge."

Businessweek

cellular automata examples in biology

"A first-class intellectual thrill... No one has contributed more seminally to this new way of thinking about the world."

The New York Times Book Review

cellular automata showing complexity from simple rules

"Had this been written by a lesser scientist, many academics might have dismissed it as the work of a crank. Given its source, though, it will merit discussion for years to come. Essential for all academic libraries."

Library Journal

From the Preface

"Just over twenty years ago I made what at first seemed like a small discovery: a computer experiment of mine showed something I did not expect. But the more I investigated, the more I realized that what I had seen was the beginning of a crack in the very foundations of existing science, and a first clue towards a whole new kind of science.

This book is the culmination of nearly twenty years of work that I have done to develop that new kind of science. I had never expected it would take anything like as long, but I have discovered vastly more than I ever thought possible, and in fact what I have done now touches almost every existing area of science, and quite a bit besides."

Contents

Preface · The Foundations for a New Kind of Science · The Crucial Experiment · The World of Simple Programs · Systems Based on Numbers · Two Dimensions and Beyond · Starting from Randomness · Mechanisms in Programs and Nature · Implications for Everyday Systems · Fundamental Physics · Processes of Perception and Analysis · The Notion of Computation · The Principle of Computational Equivalence · Notes · Index

Author Stephen Wolfram, creator of Mathematica, Wolfram Language and Wolfram|Alpha

About the Author

Stephen Wolfram is an award-winning scientist and bestselling author, and the creator of some of the world's most respected software systems—Mathematica, Wolfram|Alpha and Wolfram Language. For more than 35 years, he has been CEO of the global technology company Wolfram Research, as well as responsible for a series of groundbreaking advances in basic science, including the recent Wolfram Physics Project.

A few of Stephen Wolfram's other books:

  • Predicting the Eclipse: A Multimillennium Tale of Computation
  • What Is ChatGPT Doing ... and Why Does It Work?
  • An Elementary Introduction to the Wolfram Language, Third Edition
  • The Second Law: Resolving the Mystery of the Second Law of Thermodynamics
  • A Project to Find the Fundamental Theory of Physics
  • Idea Makers: Personal Perspectives on the Lives & Ideas of Some Notable People

A New Kind of Science
The Second Law: Resolving the Mystery of the Second Law of Thermodynamics
Metamathematics: Foundations & Physicalization
A Project to Find the Fundamental Theory of Physics
Combinators: A Centennial View
Twenty Years of A New Kind of Science
Customer Reviews
4.3 out of 5 stars 679
4.3 out of 5 stars 49
4.4 out of 5 stars 48
4.5 out of 5 stars 151
4.1 out of 5 stars 69
3.9 out of 5 stars 14
Price $19.45 $31.97 $29.31 $33.29 $31.49 $30.10
Page Count 1280 584 456 778 362 384
Publication Year 2002 2023 2022 2020 2021 2022

Editorial Reviews

Amazon.com Review

Physics and computer science genius Stephen Wolfram, whose Mathematica computer language launched a multimillion-dollar company, now sets his sights on a more daunting goal: understanding the universe. Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems.

On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day.

Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton

From Library Journal

Galileo proclaimed that nature is written in the language of mathematics, but Wolfram would argue that it is written in the language of programs and, remarkably, simple ones at that. A scientific prodigy who earned a doctorate from Caltech at age 20, Wolfram became a Nobel-caliber researcher in the emerging field of complexity shortly thereafter only to abscond from academe and establish his own software company (which published this book). In secrecy, for over ten years, he experimented with computer graphics called cellular automata, which produce shaded images on grid patterns according to programmatic rules (973 images are reproduced here). Wolfram went on to discover that the same vastly complex images could be produced by even very simple sets of rules and argues here that dynamic and complex systems throughout nature are triggered by simple programs. Mathematical science can describe and in some cases predict phenomena but cannot truly explain why what happens happens. Underscoring his point that simplicity begets complexity, Wolfram wrote this book in mostly nontechnical language. Any informed, motivated reader can, with some effort, follow from chapter to chapter, but the work as a whole and its implications are probably understood fully by the author alone. Had this been written by a lesser scientist, many academics might have dismissed it as the work of a crank. Given its source, though, it will merit discussion for years to come. Essential for all academic libraries. [This tome is a surprise best seller on Amazon. Ed.] Gregg Sapp, Science Lib., SUNY at Alban.
- Gregg Sapp, Science Lib., SUNY at Albany
Copyright 2002 Cahners Business Information, Inc.

Product details

  • Publisher ‏ : ‎ Wolfram Media, Inc.
  • Publication date ‏ : ‎ May 14, 2002
  • Edition ‏ : ‎ 1st
  • Language ‏ : ‎ English
  • Print length ‏ : ‎ 1192 pages
  • ISBN-10 ‏ : ‎ 1579550088
  • ISBN-13 ‏ : ‎ 978-1579550080
  • Item Weight ‏ : ‎ 5.45 pounds
  • Dimensions ‏ : ‎ 8.25 x 2.5 x 9.75 inches
  • Customer Reviews:
    4.3 out of 5 stars 679 ratings

About the author

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Stephen Wolfram
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Stephen Wolfram has had a unique trajectory in science, technology and business. Widely known for his discoveries in basic science and his groundbreaking 2002 book "A New Kind of Science," he has spent more than three decades building what is now Wolfram Language: the knowledge-based computer language that powers Mathematica and Wolfram|Alpha and has contributed to countless inventions and discoveries, as well as to the education of several generations of students.

Wolfram was born in London and educated at Eton, Oxford and Caltech, earning his PhD in physics in 1979 at the age of 20. After a brief but distinguished academic career, he founded Wolfram Research in 1987 and as CEO has built it into one of the world’s most respected and innovative software companies, whose products are relied on by millions of people around the world.

Customer reviews

4.3 out of 5 stars
679 global ratings

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Customers say

Customers appreciate how the book distills complex concepts into accessible explanations and its extensive discussion of cellular automata. Moreover, they find it thought-provoking, with one customer noting how it challenges preconceptions, and they praise the illustrations, with one describing them as superb. However, the book receives mixed feedback about its writing quality, and customers find it boring and very time-consuming to read.

47 customers mention "Depth"42 positive5 negative

Customers appreciate the depth of the book, which distills complex concepts into accessible explanations and provides ideas and analysis on various topics, with one customer noting how it reimagines the foundations of science and computation.

"...Even here it is possible to get behavior of considerable complexity by applying a series of operations based on simple arithmetic...." Read more

"...this he describes Cellular Automata in enough detail so that everyone can understand it, and the experts could not say that something was missed...." Read more

"...'s comprehensive approach delves into cellular automata and computational processes, demonstrating their relevance to a wide range of disciplines...." Read more

"...of noise in physical systems is of course of paramount importance to applied science and engineering, and practitioners in these areas will need a..." Read more

36 customers mention "Value for money"36 positive0 negative

Customers find the book well worth the money, with one customer noting its excellent index for re-reading.

"...I think this is a monumental book, and may defy categorization...." Read more

"In this gargantuan treatise, which has appreciable gravitational pull, the author introduces the reader to the tools and science of cellular automata..." Read more

"...In the end, the effort of reading it is well worth it, and the hyperbole "Life changing" may not be out of order." Read more

"...on campus so I got to like it because it was interesting and fun to use as a way to explore some "hobby" math problems...." Read more

14 customers mention "Thought provoking"14 positive0 negative

Customers find the book thought-provoking, with one customer noting it challenges preconceptions.

"...In conclusion, "A New Kind of Science" is a thought-provoking masterpiece that reimagines the foundations of science and computation...." Read more

"...book is not for the faint of heart, but just about every page is provocative...." Read more

"...For example, the chapter on biological evolution has many very interesting insights...." Read more

"...it’s there yet but I think this does raise some genuine and surprising possibilities. The Book is an awesome value with high production values...." Read more

12 customers mention "Illustrations"12 positive0 negative

Customers appreciate the illustrations in the book, with one customer noting that the patterns are simple and another highlighting the superb visualizations.

"...his work, the author supplies literally hundreds of charts, diagrams, and tables to back up his claims...." Read more

"...Thus all of the patterns in the book are really quite simple, since the rules are known for generating them...." Read more

"...This book delivers an alternative and remarkably innovative view of the Universe in terms that can be generally understood by the average..." Read more

"...Additionally, the book includes many pictures as well, about fractals and cellular automatons, which give us even visual pleasure...." Read more

7 customers mention "Cellular automata"7 positive0 negative

Customers appreciate the extensive discussion of cellular automata in the book.

"...There is extensive discussion of cellular automata, where we have simple rules that result in complex behavior- so much in fact that I skipped..." Read more

"...To do this he describes Cellular Automata in enough detail so that everyone can understand it, and the experts could not say that something was..." Read more

"...It's not only cellular automata, it's lots of other things that are around the world, most of them very interesting and that requiere a re-thinking..." Read more

"The book is excellent! The best if you are interested in cellular automata...." Read more

9 customers mention "Writing quality"4 positive5 negative

Customers have mixed opinions about the writing quality of the book.

"...the author's way of not giving credit to others, writting in first person with little politeness, being very direct and clear on what he thinks --..." Read more

"...I really think he is onto something and is a brilliant scientist. This should not be written off as fringe science." Read more

"...It is very badly written and designed. His writing is hugely, vastly self-important as well as highly affected...." Read more

"I think the author makes many good points about the potential of the possible benefits to science to be had by stepping outside conventional methods...." Read more

9 customers mention "Readability"0 positive9 negative

Customers find the book difficult to read, describing it as boring and not a good read, with one customer comparing it to trying to read a telephone book.

"...the negative side, it's too huge to read on an airplane, it's ponderous in reading, it makes my left wrist hurt from holding it up when I read...." Read more

"...Be aware that this book is huge. It is like trying to read a telephone book. And some of the type is incredibly small...." Read more

"...It literally has changed how I see the world. Again not a light read but worth it...." Read more

"...The figures are tiny and many are useless. Some ideas are overexplained, yet the more important ones are glossed over and made hard to understand...." Read more

8 customers mention "Pacing"0 positive8 negative

Customers find the book time-consuming and difficult to follow, with one customer noting it requires full attention.

"...This is why the book is ponderously slow. I found myself jumping ahead to read his conclusions and theories...." Read more

"...The book is long, and space does not permit a detailed review here, but one can read the book in its entirety in a fairly short time frame since the..." Read more

"...The book is not for the causal read as it requires full attention (at least for me it did) but the gain of perspective is astounding...." Read more

"...yet the more important ones are glossed over and made hard to understand. The book's margins are enormous, wasting space...." Read more

A Paradigm-Shifting Exploration book! highly recommended!!
5 out of 5 stars
A Paradigm-Shifting Exploration book! highly recommended!!
"A New Kind of Science" by Stephen Wolfram is a groundbreaking journey that challenges conventional perspectives on science and computation. Wolfram presents a paradigm-shifting thesis that not only redefines our understanding of complex systems but also sets forth a new framework for scientific exploration. Wolfram's comprehensive approach delves into cellular automata and computational processes, demonstrating their relevance to a wide range of disciplines. The book's strength lies in its ability to distill complex concepts into accessible explanations, making it engaging for both experts and enthusiasts alike. The depth of Wolfram's research is evident as he unveils the computational underpinnings of natural phenomena. His exploration of the computational universe opens up new avenues for understanding the complexity of patterns and processes observed in various fields. While the book challenges traditional scientific paradigms, it does so with a clarity that encourages contemplation rather than confusion. Wolfram's writing style, though scholarly, remains accessible, ensuring that readers from diverse backgrounds can engage with the revolutionary ideas presented. In conclusion, "A New Kind of Science" is a thought-provoking masterpiece that reimagines the foundations of science and computation. Stephen Wolfram's groundbreaking work not only sparks curiosity but also sets the stage for a new era of scientific inquiry. This book is a must-read for those seeking a profound exploration of the intricacies of our computational universe. Highly recommended.
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Top reviews from the United States

  • Reviewed in the United States on December 6, 2020
    Format: KindleVerified Purchase
    There are a vast range of physical, biological, and other systems that we are confronted with that exhibit an immense complexity. Throughout history, it has been seen as perhaps the work of a supernatural being. Also, often when we encounter something that seems complex, we take it for granted that the phenomenon must be the result of an underlying mechanism that is itself complex. The author shows us how simple programs can, in fact, produce great complexity. In regards to physics, the author states, “that thinking in terms of simple programs will make it possible to construct a single truly fundamental theory of physics, from which space, time, quantum mechanics and all the other known feature of our universe will emerge.” We learn in this book, through virtually hundreds of pages of diagrams, how simple initial conditions can produce complex behavior. Wolfram argues that this phenomenon is responsible from most of the complexity we see in nature.

    There is extensive discussion of cellular automata, where we have simple rules that result in complex behavior- so much in fact that I skipped through some of the material. It is believed that these behaviors are common in nature. An interesting finding is that “adding more complexity to the underlying rules does not yield behavior that it ultimately any more complex.” By chapter four, we are introduced to systems based on numbers. How does their behavior compare with other systems discussed? Even here it is possible to get behavior of considerable complexity by applying a series of operations based on simple arithmetic. Chapter 5 expands things to two dimension and beyond. The next chapter considers completely random initial conditions.

    Finally, we get to the application of what was covered in the previous chapters – the study of actual phenomena in nature. There seems to be a similarity between the basic mechanisms in nature and those responsible for the phenomena seen in simple programs. It is important to note that even though the models are based on simple programs that may successfully reproduce the behavior of some system even though that system does not actually consist of discrete cells, it is just a model. Models provide “an abstract representation of effects that are important in determining the behavior of a system.” The author provides examples of snowflake formation and fluidic motion. Regarding evolution, it seems that natural selection may not be as important as once thought saying that features in complexity of biological organisms arise in a sense not because of natural selection but despite it. Also, it was noted that the high degree of complexity seen in nature “can arise in a sense quite effortlessly just as a consequence of following certain simple rules of growth.”

    In the chapter on physics, this idea of simple initial conditions producing complex and seemingly random behavior is applied to the Second Law of Thermodynamics. The author discusses models for continuum fluid mechanics and even the universe. In fact, he believes that most physical laws discovered so far “are not truly fundamental but are emergent features of the large-scale behavior of some ultimate underlying rules.” The discussion veers into topics like gravity, spacetime, and quantum phenomena. It is the author’s “strong belief that in the end it will turn out that every detail of our universe does indeed follow rules that can be represented by a very simple program – and that everything we see will ultimately emerge just from running this program.” Wow, the thought went through my head: could we be living in a simulation? Who knows?

    The next chapter deals with process of perception and analysis. I skimmed through parts of this section – a bit too much detail for me. But the question becomes could simple mechanisms underlie human thinking? The next chapter covers universality and how “in the end cellular automata can actually be made to emulate almost every single type of system” that has been discussed so far. In fact, a wide range of computations that can be performed by computers can be done by cellular automata.

    In the final chapter, the author discusses something called the Principle of Computational Equivalence, where one can view all processes whether produced by humans or nature as computations. Another concept discussed is computational irreducibility, which implies that even if one has all the information to work out how some system will behave, it will still take an irreducible amount of computational work to do this. The concepts developed here apply not only to phenomena in nature but can provide new insights on fundamental issues in mathematics as well. Note that in discussing his work, the author supplies literally hundreds of charts, diagrams, and tables to back up his claims. The author concludes the main purpose of the book has been to build a new kind of basic science, but the most important consequence will have been to introduce a vast new range of systems helpful to technology.
    59 people found this helpful
    Report
  • Reviewed in the United States on June 16, 2002
    Format: HardcoverVerified Purchase
    This is a stunning book in its physical properties. It's huge, well illustrated, and easy to read. On the negative side, it's too huge to read on an airplane, it's ponderous in reading, it makes my left wrist hurt from holding it up when I read.
    But overall I highly recommend it for anyone wanting to read how cellular automata can apply to fields showing complexity not solved with tradional mathematical approaches (just about all).
    I'm appalled by some of the negative reviews of this book here on Amazon. I think alot of these ad hominem attacks are due to the author's over hyping the book before releasing it, and his general ego-centric personality. But, the reviews should be on the book, not the author's personality.
    I found the book to be very easy to read. Those that say he needed an editor probably did not read the book... particularly the beginning where he describes why he took an informal approach to his writing.
    Those that claim he grabs credit for Cellular Automata also missed this beginning where he credits those who came before him. Now, I will admit that Wolfram doesn't hesitate to overuse the "I" word, but again... he tells you upfront why he does so. I found it to be only mildly irritating. Scientists are often egotistical, heck... look at Linus Pauling.
    In this regard I think we could say that Wolfram is egotistical, but in no way showing hubris. I think this is a monumental book, and may defy categorization.
    The purpose of this book was to show how Cellular Automata are at the base of many things complex and currently beyond description or understanding. To do this he describes Cellular Automata in enough detail so that everyone can understand it, and the experts could not say that something was missed. This is why the book is ponderously slow. I found myself jumping ahead to read his conclusions and theories.
    I will concur with some other reviewers that it is more computation than theory. I wish the book had been reduced down to 1/3 of the size and more theory and consequences given. However, that would probably defeat Wolfram's long term goals with the book. Again, he describes why he structures the book the way he did in the first part of the book.
    I'm very pleased with my purchase of this book and recommend it to others that have an interest in mathematics. I particularly liked his discussion of biology and Cellular Automata, and I agree with him that it may offer a better explanatory model than natural selection in evolution.
    John Dunbar
    Sugar Land, TX
    89 people found this helpful
    Report
  • Reviewed in the United States on May 17, 2025
    Format: PaperbackVerified Purchase
    A gift. Not my focus.
  • Reviewed in the United States on February 1, 2024
    Format: HardcoverVerified Purchase
    The media could not be loaded.
    "A New Kind of Science" by Stephen Wolfram is a groundbreaking journey that challenges conventional perspectives on science and computation. Wolfram presents a paradigm-shifting thesis that not only redefines our understanding of complex systems but also sets forth a new framework for scientific exploration.
    Wolfram's comprehensive approach delves into cellular automata and computational processes, demonstrating their relevance to a wide range of disciplines. The book's strength lies in its ability to distill complex concepts into accessible explanations, making it engaging for both experts and enthusiasts alike.
    The depth of Wolfram's research is evident as he unveils the computational underpinnings of natural phenomena. His exploration of the computational universe opens up new avenues for understanding the complexity of patterns and processes observed in various fields.
    While the book challenges traditional scientific paradigms, it does so with a clarity that encourages contemplation rather than confusion. Wolfram's writing style, though scholarly, remains accessible, ensuring that readers from diverse backgrounds can engage with the revolutionary ideas presented.
    In conclusion, "A New Kind of Science" is a thought-provoking masterpiece that reimagines the foundations of science and computation. Stephen Wolfram's groundbreaking work not only sparks curiosity but also sets the stage for a new era of scientific inquiry. This book is a must-read for those seeking a profound exploration of the intricacies of our computational universe. Highly recommended.
    Customer image
    5.0 out of 5 stars
    A Paradigm-Shifting Exploration book! highly recommended!!

    Reviewed in the United States on February 1, 2024
    "A New Kind of Science" by Stephen Wolfram is a groundbreaking journey that challenges conventional perspectives on science and computation. Wolfram presents a paradigm-shifting thesis that not only redefines our understanding of complex systems but also sets forth a new framework for scientific exploration.
    Wolfram's comprehensive approach delves into cellular automata and computational processes, demonstrating their relevance to a wide range of disciplines. The book's strength lies in its ability to distill complex concepts into accessible explanations, making it engaging for both experts and enthusiasts alike.
    The depth of Wolfram's research is evident as he unveils the computational underpinnings of natural phenomena. His exploration of the computational universe opens up new avenues for understanding the complexity of patterns and processes observed in various fields.
    While the book challenges traditional scientific paradigms, it does so with a clarity that encourages contemplation rather than confusion. Wolfram's writing style, though scholarly, remains accessible, ensuring that readers from diverse backgrounds can engage with the revolutionary ideas presented.
    In conclusion, "A New Kind of Science" is a thought-provoking masterpiece that reimagines the foundations of science and computation. Stephen Wolfram's groundbreaking work not only sparks curiosity but also sets the stage for a new era of scientific inquiry. This book is a must-read for those seeking a profound exploration of the intricacies of our computational universe. Highly recommended.
    Images in this review
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    One person found this helpful
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Top reviews from other countries

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  • Rudolf P.
    5.0 out of 5 stars interessant, aber wenig bescheidener Autor
    Reviewed in Germany on July 16, 2020
    Format: PaperbackVerified Purchase
    Thematisch ist das Buch durchaus interessant.
    Die Ich-Bezogenheit des Autors und des Schreibstils muss man dabei halt ein wenig ausblenden.
    Report
  • Davide Torre
    5.0 out of 5 stars A must for programmers, physicists and mathematicians
    Reviewed in Italy on November 19, 2021
    Format: PaperbackVerified Purchase
    Good price and perfect starting point to get into complex systems.
  • José Huerta Ibarra
    5.0 out of 5 stars Ampliación del conocimiento científico
    Reviewed in Mexico on March 17, 2024
    Format: KindleVerified Purchase
    Wolfram es uno de los genios modernos que amplía el conocimiento de manera extraordinaria. En este libro abre el mundo matemático con la metamatemática que actualmente se encuentra en desarrollo pues dota a los científicos de las estructuras y el lenguaje necesario para entender la organización formal del conocimiento. Libro que inicia el desarrollo moderno del lenguaje de cómputo y la visión integral del aspecto formal de cualquier conocimiento. Indispensable para cualquier científico que desee investigar a fondo los misterios del conocimiento de su disciplina.
  • GINA SZAJNBOK HARARI
    5.0 out of 5 stars Elogio
    Reviewed in Brazil on April 7, 2025
    Format: HardcoverVerified Purchase
    Espetacular!
  • Myrddyn
    5.0 out of 5 stars A cybernetic aid to understanding
    Reviewed in the United Kingdom on December 18, 2017
    Format: HardcoverVerified Purchase
    As an initial reaction, perhaps 'Wow!' is the applicable expression! Mr. Wolfram has a respected and productive history in the field of computer science; his primary accolade being the powerful 'Mathmatica' suite of symbolic software tools used ubiquitously in the science and engineering fields. But he hasn't stopped there: this book describes how these tools - each of which is a functional sub-routine - can be combined and manipulated in such ways as if they were (almost) primary source code for building complex algorithmic entities - aka 'Cellular Automata' - applicable to almost every field of human endeavour. Thus is born the 'Wolfram' language for knowledge-based programming, using which may reveal useful, hitherto undiscovered relationships and interactions between systems and processes. in my estimation, this will revolutionise the way in which research and development is undertaken - and not just in the physical sciences - gaining huge benefits in costs, time and effort. This is truly a conceptual and intellectual 'amplifier' which will surely figure as being of immense significance in our increasing drive to unravel the mysteries of nature. The writing style is pacy and bright, giving full credit to the lay reader who may not have sufficient knowledge or experience in computer science or physics. It is not a laborious read, but Mr. Wolfram does, however, tediously tend to blow his own trumpet at every opportunity - obviously holding great pride in own theories and achievements! Having said that, it is in no way a detraction of the book or the man; I applaud him for what he has achieved and for presenting it to the world with articulate and informal narrative.