The Real Thing, a Jewel., July 28, 2016This review is from: Idea Makers: Personal Perspectives on the Lives & Ideas of Some Notable People (Hardcover)The general public is usually supplied by books on mathematical scientists written by “science communicators” and other outside observers–the worst by far being the academic historians of science. Their books are like reviews of comparative squid ink recipes written by anorexics, or descriptions of the Loire Valley by visually impaired travel writers. They are well written, which masks the BS. The descriptions focus on “interesting” traits of the personalities; scientists are discussed as if they were partaking of spectator sports. This fellow “was the best…”, this fellow “was the first to…”, “Einstein made a big blunder”, etc.
This book, “Idea Makers”, is written from an insider. It is the real thing on several accounts.
Primo, Wolfram deserves to be in the book as an “idea maker”, in his own right.
Secondo, Wolfram is the developer of a new way to do (useful) mathematics, an entirely new method, which allows us to tinker with mathematics, something that is an anathema to purists. Thus he depicts Ramanujan, not with the usual mathematical prism of the theorem crowds, but as someone who, starting with intuitions, does experiments till a mathematical identity feels right. As an eyewitness, I spent almost all my career in quant finance and probability toying with Mathematica (Stephen Wolfram’s invention), and saw it accumulate special functions and tools. Mathematica allowed me to be a car mechanic who looked under the hood; such experience makes us look at the pompous theoretician as a cook would a nerdy chemist. The book is about this refreshing perspective: theorems were to Ramanujan a thing used by European mathematicians to convince other European mathematicians.
Terso, Wolfram is fair. He shows a fair –even adulatory– portrait of Mandelbrot, in spite of attacks by the latter. Indeed, if Mandelbrot hated someone, the person has to be good and threatening. Otherwise he would not bother mentioning him.
Finally, many of the people involved are actually known either personally (Feynman, Mandelbrot, Minsky), or like Boole, Ramanujan, Godel, and Lebnitz, “connect” to the author.
Tag Archives: NNT’s book reviews
The Science of Conjecture: Evidence and Probability before Pascal
5 out of 5 stars Stands above, way above other books on the history and philosophy of probability.,
July 9, 2015
By N N Taleb “Nassim Nicholas Taleb”
This review is from: The Science of Conjecture: Evidence and Probability before Pascal (Paperback) by James Franklin
As a practitioner of probability, I’ve had to read many books on the subject. Most are linear combinations of other books and ideas rehashed without real understanding that the idea of probability harks back to the Greek pisteuo (credibility) [and pithanon that led to probabile in latin] and pervaded classical thought. Almost all of these writers made the mistake to think that the ancients were not into probability. And most books such as “Against the Gods” are not even wrong about the notion of probability: odds on coin flips are a mere footnote. Same with current experiments with psychology of probability. If the ancients were not into computable probabilities, it was not because of theology, but because they were not into highly standardized games. They dealt with complex decisions, not merely simplified and purified probability. And they were very sophisticated at it.The author is both a mathematician and a philosopher, not a philosopher who took a calculus class hence has a shallow idea of combinatorics and feels dominated by the subject, something that plagues the subject of the philosophy of probability.
This book stands above, way above the rest: I’ve never seen a deeper exposition of the subject, as this text covers, in addition to the mathematical bases, the true philosophical origin of the notion of probability. Finally, Franklin covers matters related to ethics and contract law, such as the works of the medieval thinker Pierre de Jean Olivi, that very few people discuss today.
Source: Amazon
HatTip to Dave Lull