# How Not to Be Wrong

## The Power of Mathematical Thinking

Book - 2014
"In How Not to Be Wrong, Jordan Ellenberg shows us that math isn't confined to abstract incidents that never occur in real life, but rather touches everything we do--the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It's a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does "public opinion" really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician's method of analyzing life and exposing the hard-won insights of the academic community to the layman--minus the jargon. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need"-- Provided by publisher.

Publisher:
New York, New York :, The Penguin Press,, 2014

ISBN:
9781594205224

1594205221

1594205221

Characteristics:
468 pages : illustrations ; 25 cm

## Comment

Add a CommentA very informative and wide-ranging book, full of useful insight, mostly dealing with the right way to understand uncertainty. It is easy to read and even entertaining. Ellenberg sheds much needed light on the interpretation of those clinical trial results that advertisers (and the popular media) so often quote with contradictory messages! He even shows how various types of electoral reform may not produce the expected results. While you don't need a math background to follow him, neither will your be bored if you do have one. This is not a complete inoculation against ``fake news``, but it is a good start.

Well worth reading if only for the section on P-values, which should be mandatory for any-one interested in medical research or latest developments.

Jordan Ellenberg is easy to read given the topic of mathematics. He gets into analysis including the lottery which is relevant today cos it's over a $bln (if you are into that). Looks like he hand drew alotta his illustrations. Has a YouTube of lecture regarding book topic.

This book covers lots of different concepts in math, showing real world applications and answering the question "When am I ever going to use this?". It's great at presenting complex concepts in a very simple and understandable way. It was somewhat dense in parts, but also very interesting.

I would recommend this book to anyone really interested in math.

This is the first "casual" math book I read that focuses on probability and statistics- and it's a welcome change! Jordan Ellenberg uses humour and clear explanations to present the reader with a series of real life situation and explains how they work mathematically, from winning the lottery to single transferable vote. The examples of how the average person is mathematically illiterate are so abundant that this book should be required reading for all.

This is a very good book but is sometimes deep in its discussion of mathematics. I enjoyed it a lot but would hesitate to recommend it to my friends unless they were mathematicians, However, as a mathematician myself I liked the book because I still learned some things which is uncommon from a book for laypeople.

Prof. Jordan Ellenberg has written a book which shows the stark beauty of Mathematics. He uses examples to show that pure Math can be applied to real life situations to make complex and often paradoxical situations simple. He mentions that non-linear thinking really explains a lot of anomalies and says succinctly that "which way you should go depends on where you already are."

Some of his examples like the Baltimore Stockbroker are just fascinating. All in all an eminently readable book; however, the Math in it is a little tougher than one is led to believe:-)

3.5 Stars...

University of Wisconsin professor and veritable numbers genius, Jordan Ellenberg, asserts that math “is like an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” We can’t all be mathematicians he writes, but we certainly ought to try. Ellenberg's (sometimes too) demanding but thought-provoking book demonstrates how to help our brains use mathematical principles as a guide to accurate thinking about the world.

"How Not to Be Wrong" contains five sections, each featuring a math concept that can apply to real life: linearity, inference, expectation, regression, and existence. In linearity, Ellenberg counters our instinctive belief that life moves in straight lines. Will raising tax rates lead to higher or lower tax revenues? It depends. Inference teases out unexpected insights: during the controversial 2009 Iranian election, why did the number seven show up twice as often as would be expected in a fair vote?

Ellenberg also shows that a knack for asking the right questions can avoid mistakes; it is all too easy to be arithmetically correct but mathematically wrong. He warns that many scientific research studies may prove worthless because of the method used to calculate the reliability of the results. He explains why red-hot hitters inevitably cool off and why hugely successful businesses always lose their edge over time.

A challenging but welcome companion to anyone interested in the art of numbers.

Great book. For some really pleasurable cognition, read Nassim Taleb's The Black Swan [the section where he disputes the Heisenberg Uncertainty Principle] and compare to what Prof. Ellenberg writes on regression to the mean and note how one plays off the other, and bolsters each other.