Proving Darwin: Making Biology Mathematical

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Groundbreaking mathematician Gregory Chaitin gives us the first book to posit that we can prove how Darwin’s theory of evolution works on a mathematical level.
 
For years it has been received wisdom among most scientists that, just as Darwin claimed, all of the Earth’s life-forms evolved by blind chance. But does Darwin’s theory function on a purely mathematical level? Has there been enough time for evolution to produce the remarkable ...

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Proving Darwin: Making Biology Mathematical

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Overview

Groundbreaking mathematician Gregory Chaitin gives us the first book to posit that we can prove how Darwin’s theory of evolution works on a mathematical level.
 
For years it has been received wisdom among most scientists that, just as Darwin claimed, all of the Earth’s life-forms evolved by blind chance. But does Darwin’s theory function on a purely mathematical level? Has there been enough time for evolution to produce the remarkable biological diversity we see around us? It’s a question no one has yet answered—in fact, no one has even attempted to answer it until now.
 
In this illuminating and provocative book, Gregory Chaitin argues that we can’t be sure evolution makes sense without a mathematical theory. He elucidates the mathematical scheme he’s developed that can explain life itself, and examines the works of mathematical pioneers John von Neumann and Alan Turing through the lens of biology. Chaitin presents an accessible introduction to metabiology, a new way of thinking about biological science that highlights the mathematical structures underpinning the biological world. Fascinating and thought-provoking, Proving Darwin makes clear how biology may have found its greatest ally in mathematics.

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Editorial Reviews

Kirkus Reviews
From a renowned mathematician, a collection of a series of lectures on "Metabiology: Life as Evolving Software"--a "philosophy and history of ideas course on how and why to approach biology mathematically." Chaitin (Meta Math! The Quest for Omega, 2005, etc.) equates DNA with a universal programming language, software that "can presumably express any possible algorithm, any set of instructions for building and running an organism." He creates a model "toy" organism--pure DNA stripped of any cell parts or functioning metabolism--and studies how the organism evolves through mutations resulting from random walks in a huge software space. He makes the point that his model reflects the creativity and open-endedness of nature, in parallel with the incompleteness and open-endedness of mathematics itself, as Kurt Gödel proved. Throughout the text, Chaitin pays considerable homage to Gödel, Turing and von Neumann. The author's model organisms do not stagnate but respond to the challenge of creating extremely large whole numbers by creating variations in the software (mutations) achieved by those random walks, mutations that are in fact algorithms, which translate to the organism's increased fitness. Chaitin's invocation of mutations that are whole programs rather than simple changes in a single letter of the DNA code is necessary for his proof, but it has the effect of taking the issue of natural selection out of biology and into pure mathematics. As such, questions are sure to abound, and the book is a bit esoteric for general readers. But credit the author for a lively style, lots of useful historical references and an appendix that includes von Neumann's prescient essay on self-reproducing automata. Provocative? Yes. The last word on evolution? No, but a stimulating one all the same.
From the Publisher
“One of the great ideas men of mathematics and computer science.” —New Scientist

“Strange and marvelous. . . Disarmingly funny, but also thrillingly clear.” —The Guardian

“[Chaitin’s] enjoyment of the topics of his own research is infectious.” —The Times Higher Education Supplement
 
“Call him Omega Man. . . . In the rarefied world of pure mathematics, Gregory Chaitin is indeed something of a venerated superhero.” —Waterloo Region Record

“[Chaitin is] enthusiastic and extremely readable. . . . Amazing. No wonder [he] chose mathematics over physics.” —New Scientist

“The musings of a great mind on a subject beyond most of us.” —Ottawa Citizen

“Provocative. . . . Stimulating. . . . Credit the author for a lively style, lots of useful historical references and an appendix that includes von Neumann’s prescient essay on self-reproducing automata.” —Kirkus Reviews

"Gregory Chaitin has devoted his life to the study of mathematics. . . . A great mind.” —The Victoria Times Colonist

“[Chaitin] is a creative genius.” —Tucson Citizen

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Product Details

  • ISBN-13: 9780375423147
  • Publisher: Knopf Doubleday Publishing Group
  • Publication date: 5/8/2012
  • Pages: 144
  • Product dimensions: 5.38 (w) x 8.20 (h) x 0.64 (d)

Meet 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.

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Read an Excerpt

Proving Darwin

Making Biology Mathematical
By Gregory Chaitin

Pantheon

Copyright © 2012 Gregory Chaitin
All right reserved.

ISBN: 9780375423147

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!



Continues...

Excerpted from Proving Darwin by Gregory Chaitin Copyright © 2012 by Gregory Chaitin. Excerpted by permission of Pantheon, a division of Random House, Inc.
All rights reserved. No part of this excerpt may be reproduced or reprinted without permission in writing from the publisher.
Excerpts are provided by Dial-A-Book Inc. solely for the personal use of visitors to this web site.

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Table of Contents

Contents

A Parable
Contradictory Quotes?
Problem Solvers and Theorizers, by Gian-Carlo Rota
Preface
1. Introduction: Overview of Proving Darwin
2. Life as Evolving Software: The Evolution of Mutating Software
3. The Human Discovery of Software: Turing and von Neumann as Biologists
4. The Mathematics of Metabiology: Random Walks in Software Space
5. Santa Fe Institute Lecture: A Mathematical Theory of Evolution and Biological Creativity
6. Theological Aspects of Metabiology
7. The Politics of Creativity (Social Darwinism→Social Metabiology)
8. What Can Mathematics Ultimately Accomplish? Metabiology and Beyond
Appendix 1. Von Neumann’s “DNA = Software” Paper
Appendix 2. The Heart of the Proof
Further Reading
Index

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Sort by: Showing 1 Customer Reviews
  • Anonymous

    Posted July 21, 2012

    Good

    Interesting mix of math, biology, and DNA.

    0 out of 1 people found this review helpful.

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