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The Improbability Principle: Why coincidences, miracles and rare events happen all the time Kindle Edition
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Top customer reviews
So far as the main principle is concerned, does it actually say anything more than that some things are less improbable than they seem at first sight? This pales into insignificance compared with a principle such as the Uncertainty Principle.
The Laws are quite a rag bag. The Laws of Large Numbers and of Truly Large Numbers gave real insights derived from his expertise in probability, though a more thorough discussion, of why truly large numbers may be smaller than large numbers, would have helped. On the other hand the Law of Selection seems to be just a heuristic for weeding out false claims. Its relationship to Darwinian Natural Selection is tenuous; and his first example, explaining why some hypothetical insects migrate in response to a changing climate, is not an example of evolution at all.
Actually, I thought he was a bit short of material, and his subject does not justify a whole book. As a whole, it is a bit lightweight. But if you don't expect too much, it is a good read.
I have a couple of minor beefs, one of them probably overly pedantic and the other one perhaps more substantive. The first is that, for a guy who's trying to introduce some intellectual rigor into our day-to-day analysis of what's going on, he's a little bit loose with his language sometimes. Possibly the most egregious example is that he uses the Law of Selection in two completely different ways. This law is introduced as a kind of hindsight bias, where we remember everything that fits our theory and conveniently forget things that contradict it. For example: "it always rains when I forget my umbrella" is based on only the times when it rained and you forgot your umbrella, ignoring all the times you either didn't forget your umbrella or it didn't rain. It is a retroactive and psychological law, a subjective failure in looking back at history. Then suddenly he uses the same phrase, the Law of Selection to apply to phenomena like Darwin's natural selection, which is a forward-looking, future-determining practice. Both are real phenomena, but it seems to me different concepts ought to have different names, otherwise we begin to lose faith in his precision, which strikes me as important in this subject area.Read more ›
Excellent book, very accessible. I read it twice, the second time to try to remember the multiple examples used to illustrate the various principles (the laws of very large numbers, the laws of selection etc). I am very familiar with statistics, but I think this is written in a way that allows most people to understand what is being discussed. I especially liked (and could definitely relate to) the dangers associated with trying to explain relationships in data, rather than starting with a theory and testing it against the data. Thoroughly reccommend this book.
But the book isn't very short; it's actually quite long.
The constantly underlined and highlighted idea is this:
1 - Borel's Law says (paraphrased) "sufficiently unlikely events are impossible" (in practical, macroscopic or human terms)
2 - Things that LOOK impossible KEEP HAPPENING every day somewhere on Earth
3 - 'Impossible' things keep happening not because Borel's Law is necessarily wrong, but because the things that LOOKED impossible actually were NOT impossible
The events ('things') seemed to be impossible because they were not correctly understood (the probabilities against or for). Once other established mathematical or statistical laws were brought to bear on the 'impossible' event, the impossibility became not just infinitesimally possible, but actually INEVITABLE given enough 'runs' or time -- that is the law of very large numbers. Other laws, when applied correctly, did the same thing.
An obvious, and discussed, event is lottery numbers being the same in successive draws. It seems, in a human time frame, impossible. But consider how many lotteries there are in the world and how many draws and the sheer number of opportunities that this has to occur means that, if not inevitable, it nearly is.
I list some of the quoted and used laws in the next paragraph.
Hand seems to want to coin a new phrase in mathematics or statistics -- "the Improbability Principle" -- whereas what he has actually done is to use that term as an umbrella term for several mathematical laws that are already established. Such as [the laws of] inevitability, truly large numbers, selection (including anthropic principle), the probability lever, and near enough.Read more ›
Most recent customer reviews
Many interesting facts, but I personally, found it a hard read.Published 20 months ago by Hyderanger
Excellent book, relating the principles in an innovative fashionPublished on 20 July 2015 by K Charsley
If you can't stretch yourself to reading 'Thinking Fast Thinking Slow' you could do worse than this. Read morePublished on 12 July 2015 by nicholas hargreaves
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