Download Ebook Proving Darwin: Making Biology Mathematical By Gregory Chaitin

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Proving Darwin: Making Biology Mathematical By Gregory Chaitin

Download Ebook Proving Darwin: Making Biology Mathematical By Gregory Chaitin

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Sales Rank: #1511985 in Books
Brand: Brand: Vintage
Published on: 2012-05-08
Released on: 2012-05-08
Original language: English
Number of items: 1
Dimensions: 8.37" h x .62" w x 5.30" l, .59 pounds
Binding: Hardcover
144 pages

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Review
Praise for Gregory Chaitin’s Meta Math!
“A startling vision of the future of mathematics. . . . The Chaitinesque intellectual future will be eternally youthful and anarchic.”
—American Scientist

“Math’s dark secret is out . . . Chaitin explains why Omega, a number he discovered thirty years ago, has him convinced that math is based on randomness.”
—Time

“Is our universe computable? Is mathematics inevitable? Chaitin and I have been discussing these kinds of questions for a very long time, and it’s great to see him explain his point of view on them so passionately here.”
—Stephen Wolfram, creator of Mathematica and author of A New Kind of Science

“A clearly written and witty look at a difficult subject. . . . Chaitin explains with infectious enthusiasm how mathematics doesn’t equal certainty.”
—Science News

"Captivating . . . With extraordinary skill and a gentle humor, Chaitin shares his profound insights."
—Paul Davies, author of How to Build a Time Machine

About the Author

Gregory Chaitin is widely known for his work on metamathematics and for his discovery of the celebrated Omega number, which proved the fundamental unknowability of math. He is the author of many books on mathematics, including Meta Math! The Quest for Omega. This is his first book on biology. Chaitin was for many years at the IBM Watson Research Center in New York. The research described in this book was carried out at the Federal University of Rio de Janeiro in Brazil, where Chaitin is now a professor. An Argentine-American, he is an honorary professor at the University of Buenos Aires and has an honorary doctorate from the National University of Cordoba, the oldest university in Argentina.

One
Introduction: Overview of Proving Darwin

Like many pure mathematicians, I like giving “chalk” talks: improvised talks given on a blackboard or white- board using a minimum of technological assistance. Another strategy is for me to fill the board with what I want to cover just before I start to lecture, while people are still coming in, so that they can take in all the key ideas at a glance. In a large auditorium, however, a projector is necessary, or nobody will see anything.

On the facing page you can see me giving an overview of this book in a large auditorium at the Federal University of Rio Grande do Sul in southern Brazil. The four slides I prepared are on pages 5 and 6. They summarize Chapters 2 to 4, which outline my strategy for making biology mathematical. After you finish reading these chapters, you should review the slides. Then they will make more sense.

You’ve heard people refer to DNA as a computer program? Well, that’s the whole idea: to make this metaphor into a mathematical theory of evolution. In fact, it turns out that the mathematical tools for doing this were already available in the 1970s. More precisely, we will treat evolution as a random walk in software space. Random walks are an idea that mathematicians feel comfortable with, although the space we are walking around in at random is bigger than usual.

I call this proposed new field “metabiology” because it is a highly simplified version of real biology—otherwise I wouldn’t be able to prove any theorems. These theorems are presented in Chapter 5, which is the climax of the book, and was a talk that I gave at the Santa Fe Institute. Chapters 6 to 8 discuss the broader significance of metabiology, theological, political and epistemological. And then there are two appendices.

In the first appendix you can read the crucial section on self-reproducing automata in John von Neumann’s far-seeing “DNA = Software” paper that influenced Sydney Brenner, who in turn influenced Francis Crick—a remarkable fact that I only discovered while working on this book. And the second appendix gives some additional mathematical details that may be of interest to experts.

Finally, I give a short list of suggested further reading, some books and a few articles that are important if you want to really understand metabiology. These are the books and articles that helped me the most to come up with a strategy for making biology mathematical, plus a few more related items that I threw in just for the fun of it. Enjoy them all!

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