This is a pleasant, even charming book about the possibility of extraterrestrial life written by a mathematician who failed to read the popular literature on the subject. He thought that the general public was in doubt about the probability of extraterrestrial life, and he wanted to make one modest point, namely that because the universe is so incredibly vast, it is almost a cinch that life exists elsewhere. The problem with this is, just about anybody with an interest in extraterrestrial life knows that. Aczel thought he was bringing us a bulletin, carefully framed and double checked, and proven. What he should have known is that not only is his news is not news, but as Hamlet said to Rosencrantz and Guildenstern, "Your news is not true."
Aczel is the author of Fermat's Last Theorem, a book that enjoyed a popular success that perhaps gave him the encouragement he needed to think that he should write a book announcing to the world that he had proven, mathematically, that life does indeed exist on other worlds. Alas and alack, he really didn't prove anything. Most people are more convinced by common sense, given the billions of stars in our galaxy and the billions of other galaxies, that life must exist elsewhere, than they would ever be by such a mathematical "proof" as is contained herein. Fact is, one of the numbers Aczel plugs into his proof is not known, and is merely an assumption on his part. He declares without a shred of evidence "that the probability of life occurring on any single planet that is already within its star's habitable zone is extremely extremely remote: one in a trillion" (p. 212). Sorry, but that is not good enough. As someone else has pointed out on this site, the number could just as easily be one in a trillion, trillion, trillion. How about 1 in a googolplex of googolplexes? Size DOES matter.
Notice the full title of this book: "Why There Must Be Intelligent Life in the Universe." Aczel's entire argument includes the idea that life inevitably leads to intelligent life. In Chapter Seven, "The Evolution of Intelligence," he quotes studies showing that the brain size of animals in general is growing, that the dinosaurs had on average larger brains at the time of their demise than they did earlier, and that mammals have gradually developed larger brains.
This proves nothing of course, being (for one thing) a planetary sampling of one. Actually it proves that Aczel did not read the literature because he would have known that there is a very real controversy about whether intelligent life follows as a matter of course from life itself, or whether intelligent life is a very rare development. (See, for example, Dared Diamond's argument in Extraterrestrials: Where Are They? (1995), edited by Ben Zuckerman and Michael H. Hart.)
In the final analysis the failure of this book is not in the writing and nor in the presentation nor in the conclusion. It's in the arrogance. Just because one is an expert in statistics, it doesn't follow that one can apply one's knowledge to an entirely different field and get positive results. Furthermore, as stated above, if you are going to write a popular book, bringing the benefit of your knowledge to a popular audience, you really ought to read the literature. That way you may know as much about the subject as your prospective readership.
--Dennis Littrell, author of “The World Is Not as We Think It Is”