Book Review: Gregory Chaitin’s “Proving Darwin: Making Biology Mathematical”

Gregory Chaitin’s book Proving Darwin: Making Biology Mathematical combining biology, microbiology, mathematics, evolution and even information theory is directly in my wheelhouse. I had delayed reading it following a few initial poor reviews, and sadly I must confirm that I’m ultimately disappointed in the direct effort shown here, though there is some very significant value buried within. Unfortunately the full value is buried so deeply that very few, if any, will actually make the concerted effort to find it.

proving

This effort does seem to make a more high-minded and noble attempt than what I would call the “Brian Greene method” in which an academic seemingly gives up on serious science to publish multiple texts on a popular topic to cash in on public interest in that topic through sales of books. In this respect Chaitin is closer to Neil deGrasse Tyson in his effort to expound an interesting theory to the broader public and improve the public discourse, though I would admit he’s probably a bit more (self-) interested in pushing his own theory and selling books (or giving him the benefit of the doubt, perhaps the publisher has pushed him to this).

Though there is a reasonable stab at providing some philosophical background to fit the topic into the broader fabric of science and theory in the later chapters, most of it is rather poorly motivated and is covered far better in other non-technical works. While it is nice to have some semblance of Chaitin’s philosophy and feelings, the inclusion of this type of material only tends to soften the blow of his theoretical work and makes the text read more like pseudo-science or simple base philosophy without any actual rigorous underpinning.

I’m assuming that his purpose in writing the book is to make the theories he’s come up with in his primary paper on the topic more accessible to the broader community of science as well as the public itself. It’s easy for a groundbreaking piece of work to be hidden in the broader scientific literature, but Chaitin seems to be taking his pedestal as a reasonably popular science writer to increase the visibility of his work here. He admittedly mentions that his effort stems from his hobby as his primary area is algorithmic information theory and computer science and not biology or evolution, though his meager references in the text do at least indicate some facility with some of the “right” sources in these latter areas.

Speaking from a broad public perspective, there is certainly interest in this general topic to warrant such a book, though based on the reviews of others via Amazon, Goodreads, etc. the book has sadly missed it’s mark. He unfortunately sticks too closely to the rule that inclusion of mathematical equations is detrimental to the sale of ones books. Sadly, his broader point is seemingly lost on the broader public as his ability to analogize his work isn’t as strong as that of Brian Greene with respect to theoretical physics (string theory).

From the a higher perspective of a researcher who does work in all of the relevant areas relating to the topic, I was even more underwhelmed with the present text aside from the single URL link to the original much more technical paper which Chaitin wrote in 2010. To me this was the most valuable part of the entire text though he did provide some small amount of reasonable detail in his appendix.

I can certainly appreciate Chaitin’s enthusiastic following of John von Neumann but I’m disappointed in his lack of acknowledgement of Norbert Weiner or Claude Shannon who all collaborated in the mid part of the 20th century. I’m sure Chaitin is more than well aware of the father of information theory, but I’ll be willing to bet that although he’s probably read his infamous master’s thesis and his highly influential Bell Labs article on “A/The Mathematical Theory of Communication”, he is, like most, shamefully and wholly unaware of Shannon’s MIT doctoral thesis.

Given Chaitin’s own personal aim to further the acceptance of his own theories and work and the goal of the publisher to sell more copies, I would mention a few recommendations for future potential editions:

The greater majority of his broader audience will have at least a passably reasonable understanding of biology and evolution, but very little, if any, understanding of algorithmic information theory. He would be better off expounding upon this subject to bring people up to speed to better understand his viewpoint and his subsequent proof. Though I understand the need to be relatively light in regard to the number of equations and technicalities included, Chaitin could follow some of his heroes of mathematical exposition and do a slightly better job of explaining what is going on here. He could also go a long way toward adding some significant material to the appendices to help the higher end general readers and the specifically the biologists understand more of the technicalities of algorithmic information theory to better follow his proof which should appear in intricate glory in the appendix as well. I might also recommend excising some of the more philosophical material which tends to undermine his scientific “weight.” Though I found it interesting that he gives a mathematical definition of “intelligent design”, I have a feeling its intricacies were lost on most of his readership — this point alone could go a long way towards solidifying the position of evolution amongst non-scientists, particularly in America, and win the support of heavyweights like Dawkins himself.

I’ll agree wholeheartedly with one reviewer who said that Chaitin tends to “state small ideas repeatedly, and every time at the same shallow level with astonishing amount of redundancy (mostly consisting of chit-chat and self congratulations)”. This certainly detracted from my enjoyment of the work. Chaitin also includes an awful lot of name dropping of significant scientific figures tangential to the subject at hand. This may have been more impressive if he included the results of his discussions with them about the subject, but I’m left with the impression that he simply said hello, shook their hands, and at best was simply inspired by his having met them. It’s nice that he’s had these experiences, but it doesn’t help me to believe or follow his own work.

For the technically interested reader, save yourself some time and simply skim through chapter five and a portion of the appendix relating to his proof and then move on to his actual paper. For the non-technical reader, I expect you’ll get more out of reading Richard Dawkins’ early work (The Selfish Gene) or possibly Werner R. Loewenstein’s The Touchstone of Life: Molecular Information, Cell Communication, and the Foundations of Life.

Though I would certainly agree that we could use a mathematical proof of evolution, and that Chaitin has made a reasonable theoretical stab, this book sadly wasn’t the best one to motivate broader interest in such an effort. I’ll give him five stars for effort, three for general content, but in the end, for most it will have to be at most a 2 star work overall.

This review was originally published on June 17, 2013.

How to Sidestep Mathematical Equations in Popular Science Books

In the publishing industry there is a general rule-of-thumb that every mathematical equation included in a book will cut the audience of science books written for a popular audience in half – presumably in a geometric progression. This typically means that including even a handful of equations will give you an effective readership of zero – something no author and certainly no editor or publisher wants.

I suspect that there is a corollary to this that every picture included in the text will help to increase your readership, though possibly not by as proportionally a large amount.

In any case, while reading Melanie Mitchell’s text Complexity: A Guided Tour [Cambridge University Press, 2009] this weekend, I noticed that, in what appears to be a concerted effort to include an equation without technically writing it into the text and to simultaneously increase readership by including a picture, she cleverly used a picture of Boltzmann’s tombstone in Vienna! Most fans of thermodynamics will immediately recognize Boltzmann’s equation for entropy, S = k log W , which appears engraved on the tombstone over his bust.

Page 51 of Melanie Mitchell's book "Complexity: A Guided Tour"
Page 51 of Melanie Mitchell’s book “Complexity: A Guided Tour” featuring Boltzmann’s tombstone in Vienna.

I hope that future mathematicians, scientists, and engineers will keep this in mind and have their tombstones engraved with key formulae to assist future authors in doing the same – hopefully this will help to increase the amount of mathematics that is deemed “acceptable” by the general public.

Beauty, Melody, and Entropy are an Equivalence Class

Sir Arthur Stanley Eddington, OM, FRS (1882-1944), a British astronomer, physicist, and mathematician
in The Nature of the Physical World, 1927

 

Sir Arthur Stanley Eddington

 

Model of a cell in Jello with candy, 2013

Model of a cell in Jello with candy, 2013
Science project by some bright 7th grade girls from Wilson I ran into while having afternoon tea. (Model of a cell in Jello with candy, 2013)
Science project by some bright 7th grade girls from Wilson I ran into while having afternoon tea. (Model of a cell in Jello with candy, 2013)

Instagram filter used: X-Pro II

God Could Have Caused Birds to Fly With Their Bones Made of Solid Gold

Salviati’s (Galileo’s voice) response to Simplicio (Pope Urban VIII)
Galileo Galilei in Dialogue Concerning the Two Chief World Systems

 

Galileo's Dialogo Title Page
Title Page from Galileo’s Dialogo

Starbucks Causes Cancer!?

Apparently Starbucks has learned well from big tobacco and they’re getting ahead of the whole cancer thing whether or not they really need to. This morning while picking up my morning tea (and apple fritter), I ran across a Prop 65 warning very prominently posted–ironically above the aspartame, though that wasn’t mentioned specifically in the notice–about the cancer risks of acrylamide.

Prop 65 Warning at Starbucks All the fine print boils down to saying that coffee might cause cancer.
Prop 65 Warning at Starbucks
All the fine print boils down to saying that coffee might cause cancer.

I’ve read a fair amount about acrylamide in the past two years following the news that just about anything cooked or fried has small trace amounts of the substance, so I know there’s not too much to be worried about. The biggest “scare” was apparently over french fries–particularly those served at fast food restaurants. Apparently after the scare blew over the general public – the subject just didn’t seem to catch any traction aside from a few snippets in the mainstream press–Starbucks has decided to get out ahead of this “non-issue” just in case. (I will admit that the State of California has actually sued and won against major corporations under the Safe Drinking Water and Toxic Enforcement Act of 1986, Health and Safety Code section 25249.6, also known as “Proposition 65,” that businesses must provide persons with a “clear and reasonable warning” before exposing individuals to these chemicals which includes acrylamide.)

As an aside, I will mention that placing the warning on the condiments counter which I visit only after I’ve made my purchase seems a bit after-the-fact – it would have done me more good in front of the cash register. For the ambulance chasers, this is probably great “grounds”–pun intended–for a major class action.

PROP 65 WARNING

Chemicals known to the State of California to cause cancer and reproductive toxicity, including acrylamide, are present in coffee, baked goods, and other foods or beverages sold here. Acrylamide is not added to our products, but results from cooking, such as when coffee beans are roasted or baked goods are baked.  As a result acrylamide is present in our brewed coffee, including coffe made at home or elsewhere from our beans, ground or instant coffee, baked goods or other foods sold here, in grocery stores or other retail locations.

Your personal cancer risk is affected by a wide variety of factors.  For more information regarding acrylamide, see www.fda.gov. For more information about acrylamide and Proposition 65, visit www.oehha.ca.gov/prop65/acrylamide.html.

As posted in Starbucks Coffee, Lake Avenue, Pasadena, CA

While I laud their savvy general counsel, do we really need this type of notice in our lives? Humankind has been living with acrylamide cancer risk since the dawn of the Holocene when man first learned to use fire to cook, is there any reason to worry about it now?

I’m reminded of Jared Diamond’s book The World Until Yesterday and some of the things that primitive societies simply learn to live with, but which our overly litigious society just can’t seem to deal with logically. Simple things didn’t fool primitive societies like: don’t sleep under trees that look like they are dead or possibly rotting–just in case the tree falls over and kills you in the night while you’re sleeping. Yet somehow some of us need additional warnings about our coffee from McDonald’s being served hot  or cautions not to operate our toasters in the bathtub.

Next I fear that we’ll discover we need signs telling us that pinecones might fall out of pine trees.

Photo of large pine tree with an inordinately large caution sign next to it stating "Caution: Falling Cones."
“Caution Falling Cones”
Photo taken about 20 miles from Jared Diamond’s home in Los Angeles.

I sure hope that Henny Penny copyrighted, registered, and patented everything about the concept of “The Sky is Falling” as I’m sure it’ll have made her the richest chicken in the world.