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How Not to Be Wrong
How Not to Be Wrong
Oct 9, 2024 1:23 AM

Author:Jordan Ellenberg

How Not to Be Wrong

THE SUNDAY TIMES BESTSELLER

The maths we learn in school can seem like an abstract set of rules, laid down by the ancients and not to be questioned. In fact, Jordan Ellenberg shows us, maths touches on everything we do, and a little mathematical knowledge reveals the hidden structures that lie beneath the world's messy and chaotic surface. In How Not to be Wrong, Ellenberg explores the mathematician's method of analyzing life, from the everyday to the cosmic, showing us which numbers to defend, which ones to ignore, and when to change the equation entirely. Along the way, he explains calculus in a single page, describes Gödel's theorem using only one-syllable words, and reveals how early you actually need to get to the airport.

Reviews

A great book, a necessary book for our time

—— Independent

In Steven Weinberg's To Explain the World: The Discovery of Modern Science and Frank Wilczek's A Beautiful Question: Finding Nature's Deep Design, two Nobel physicists give two astonishingly different accounts of the history of science, from antiquity to their own discoveries. Weinberg takes an unapologetically hard-headed stance, where philosophy, beauty and so forth are denounced as misleading. Wilczek sketches a dreamy vision, where beauty and harmony are essential ingredients of the quest for knowledge. Who is right? Both: this is the magic of science, which coherently combines wildly diverse skills. Weinberg is a father of electroweak theory, Wilczek of strong interaction. Still unsolved is gravity: what are the skills we need to solve it? We do not know yet

—— Carlo Rovelli, Financial Times 'Books of the Year'

I read To Explain the World completely enthralled. It transmutes the base metal of a mere history of science into pure gold-into a magisterial celebration of a long and heroic struggle, still incomplete, to understand nature. Only a committed scientist of Steven Weinberg's brilliance, experience and breadth of insight could have accomplished this. I ended the book exhilarated

—— Ian McEwan

In this masterful, entertainingly 'irreverent' book, Weinberg explains the rise of science from ancient Greeks to modern geeks in terms that his students and the rest of us will understand

—— Iain Finlayson , The Times

It would be putting it mildly to say that Weinberg triumphantly lives up to what it says on the Nobel tin: a true intellectual as well as a brilliant theoretical physicist

—— Richard Dawkins

Regarded as the pre-eminent theoretical physicist alive today... Weinberg is also a fine writer and communicator about ideas beyond his own field... Weinberg has clearly carried out extensive scholarly investigation for To Explain the World, and the book works as history. But what makes it tand out is his perspective as a top scientist working today

—— Clive Cookson , Financial Times

Weinberg has reached the pinnacle of scientific success - the Nobel Prize - he writes clearly and with confidence, imbuing the reader with an irresistible sense that one is in the hands of a master physicist at play

—— Sunday Times

There have been many accounts of the historical progression of our understanding of the world around us, but few have had the unique selling point of Steven Weinberg's To Explain the World... Weinberg's chronicle of the long development of physics leading up to the role he has personally played in it is akin to Winston Churchill's A History of the English-Speaking Peoples

—— Lewis Dartnell , Telegraph

An absolute delight

—— Times Higher Education

A refreshing contrast to other tomes on the topic... Weinberg reminds us to be humble not only about what we know, but how we know it

—— The Guardian

An enlightening read that does not demand specialist knowledge to enjoy

—— Robert Kingston , Sunday Times

The book is a magnificent contribution to the history and philosophy of science...Weinberg writes with great verve and clarity

—— Times Literary Supplement

A salacious insight into the careers and super-stardom that eventually drove both to emotional and artistic breakdown

—— Julia Richardson, 'Must reads' , Daily Mail

Rich and enlightening, I’ll never look at a dewy morning in the same way again.

—— Sarah Bakewell

For illuminating a byway of scientific history that many scarcely knew existed we must thank Peter Moore, whose superbly researched an grippingly written book is more than a dusty account of early meteorologists

—— Richard Morrison , The Times

Moore does an excellent job of telling the story of meteorological advances

—— Good Book Guide

enlightening… to read it is a joy

—— John Owen , Country & Town House

A compelling journey through the early history of weather forecasting, bringing to life the personalities, lives and achievements of the men who put in place the building blocks required for forecasts to be possible.

—— Susan Ballard , Physics World

Enthralling history of weather forecasting… Moore’s book records the adventure, drama and occasional tragedy involved in bringing us the calm reassurance of the nightly weather forecast.

—— Jane Shilling , Daily Mail

Superbly researched and gripping book… He darts across continents, embracing swashbuckling sea captains and fastidious bureaucrats, penny-pinching politicians and mad inventors, with as sharp an eye for absurdity and tragedy as for genius.

—— Richard Morrison , The Times

Provocative and fascinating and opinionated…it makes the familiar seem unfamiliar. It altered how I view our species and our world.

—— Mohsin Hamid , Guardian

Harari delivers a boldly synthesized account of Homo sapiens' rise through the hominin ranks...A view of our ascent as nasty, brutish, long - and endlessly fascinating

—— Nature

Harari can write. Not in the sense that most authors can...But really, really write, with wit, clarity, elegance and a wonderful eye for metaphor

—— The Times

Provocative, thrilling erudite… One of the year’s most talked-about books

—— Metro

Its breadth is startling... It changes the way you look at the world and few books tick that box.

—— Simon Mayo , Daily Express

Probably the most ambitious history book of the year. Certainly the most thought-provoking

—— Dan Jones , Evening Standard - Books of the Year

As a writer, Harari is superbly clear. He’s also a formidable polymath and a wonderfully elegant thinker... He is a brilliant analyst with a storyteller’s gift

—— William Leith , Evening Standard

I have just read Yuval Noah Harari's book Sapiens. It is brilliant. Most likely the best - and I have read very many - on the history of humankind. I have never read anything better

—— Henning Mankell

We usually think that we are an outcome of our personal history, where we grew up, the way our parents educated us, etc. In Sapiens, Harari delves deep into our history as a species to help us understand who we are and what made us this way. An engrossing read.

—— Dan Ariely, New York Times Bestselling author of Predictably Irrational

Eloquent and wonderfully funny

—— i

This is mega-history of the best sort: sweeping but not simplistic, contemporary but not gimmicky, provocative but not contrarian. Almost everyone will want to argue with one part of this book or another, but working out which part and why will do us all good.

—— Dr Steven Gunn

For its sheer originality and intellectual stimulation, I was captivated by Yuval Noah Harari’s Sapiens

—— Matthew d’Ancona , Evening Standard - Books of the Year

That fellow connected an awful lot of dots in that work. I thought the book would be a dense read, a slog, with a struggle for my brain on every page. I had a highlighter ready to mark the more pavement-thick paragraphs I’d have to go back and re-ponder. Instead, I flew through it like it was a nonfiction The Thorn Birds. Does that mean I’m getting smarter?

—— Tom Hanks , New York Times

Ambitious and invigorating

—— Charlotte Heathcote , Sunday Express

Harari’s book is important reading for serious-minded, self-reflective sapiens

—— Avi Tuschman , Washington Post Sunday

Brilliantly done and endlessly fascinating

—— Reader’s Digest

Vast and intricate... Engaging and informative

—— Guardian

A thrilling account of humankind’s extraordinary history

—— Jersey Evening Post

The book is maddeningly opinionated and insanely ambitious. It is also compulsively readable and impossibly learned. It is one of the best accounts by a Homo sapiens of the unlikely story of our violent, accomplished species

—— Michael Gerson , Washington Post

An enthusiastic and confident narrative that is relentlessly interesting from the first word to the last

—— UK Press Syndication

The most exciting book I’ve read this year

—— Rory MacLean , Geographical

One of the most talked about non-fiction bestsellers of the year... Harari is one of the very few thinkers around who’s really looking at what’s happening now. Sapiens is his attempt to tell the story of the past to understand the present: the great technological advances that we are all living through now

—— Observer

Eloquent and provocative

—— Mail on Sunday

A headclutchingly provocative account of our species from the Stone Age to the present... Stunningly ambitious and compellingly written. They call it macro-history. They’re right.

—— David Sexton , Evening Standard

Fascinating

—— Chris Skinner , Financial Services Club Blog

Unforgettably vivid language. I urge everyone to read it

—— Matthew Smith , H Edition

Contains a remarkable piece of information on almost every page and reminds us that we should be grateful to be human.

—— Matt Haig , Observer

Thought-provoking

—— Sunday Times

I would recommend Sapiens to anyone who’s interested in the history and future of our species.

—— Bill Gates

Read with an open mind and you might look at life in a whole new way.

—— How it Works

A fantastic book about how homo sapiens came to conquer the world

—— Simon Mayo , Mail on Sunday

A dark and thrilling epic.

—— Rachel Hadas , Times Literary Supplement, Book of the Year

I have continued to be driven bonkers by my current obsession: Sapiens by Yuval Noah Harari, an extraordinary tome that charts the plight of the planet’s most destructive species since the dawn of time: us. Every paragraph gives you pause for thought, as it catalogues how nuts human beings really are… It may be the best book I’ve ever read; it’s certainly fascinating.

—— Chris Evans , Mail on Sunday

This doesn’t make you feel clever; it makes you feel included. It’s written so brilliantly… He’s written about the human family as a family.

—— Marcus Brigstocke , Shortlist

It's one of the best books I’ve read recently and gives an excellent overview of how our species has developed and helps us understand why and who we are today.

—— Lily Cole , Hello!

A sweeping account of the history of our species, written in vivid prose.

—— Matthew Syed , The Times

It rattles along, firing glitter-coated bullets of wisdom as it goes. If Carlsberg made professors, they’d have fashioned them thus. You’ll never have quite as much fun while learning so much.

—— Lynne Barrett-Lee , Western Mail

Reading this wonderful book feels like looking at life down the bigger end of the telescope. Its scope – which incorporates the history of our species and the question of what the future may have in store – is so magisterial, one has an increasingly godlike feeling while reading it.

—— Gavin Turk , Week

An absolute trove that everyone who wants to understand everything from human evolution to diet, religions and limited liability companies should read.

—— Sally Moussawi , Pool

Opening up a controversial topic with spirit and thoroughness, Sapiens will challenge your preconceptions, provoke discussion and, most importantly, push you to think for yourself… Bold and provocative.

—— Women's Running

A brilliant, interdisciplinary account of the past and future of our species… Some of Harari’s most interesting points are the ways in which the fundamental, unchanging traits that make us human (emotions, desires) relate to the modern world. Essential reading for any liberal arts degree.

—— Francesca Carington , Tatler

In the unlikely event you haven’t already read it and…fancy learning some cool new stuff in a fun way, I wholeheartedly recommend it to you.

—— Jenny Colgan , Spectator

It’s so intense that you have to read a bit then have a rest. It has brilliant passages, such as where he argues humans became enslaved by agriculture. Vivid and invigorating.

—— Bill Bailey , Daily Express

Every now and then a book comes along that tilts your perspective on the world. This internationally best-selling phenomenon is one of them.

—— Martin Chilton, Olivia Petter and Ceri Radford , Independent, *Books of the Decade*

Insightful, provocative and certainly gives you a sense of perspective

—— Diederik Vos , Creativepool

Shortly before the pandemic, I read Sapiens... It's not an exaggeration to say I've thought of it every day since

—— Curtis Sittenfeld , Guardian

It succeeds through its eclectic scope, its readability, and its author’s willingness to offer ethical judgements

—— Martin Rees , Observer

A book that leaves its reader full-hearted… moved and enriched by its humanity and accomplishment.

—— Lettie Kennedy , Observer

A fast read that won’t fail to move you.

—— I

John Updike said that every writer is simply unpacking their own bag, describing writing as a way to come to terms with one’s current and historical life experience. If that is the case Paul Kalanithi, in When Breath Becomes Air, is unpacking a very large bag indeed, and not just his own.

—— Paul D'Alton , Irish Examiner

When Breath Becomes Air is a life-affirming reflection on facing our mortality and on the relationship between doctor and patient, from a gifted writer who became both.

—— Mojo Mums

Far more than a beautifully written account of a life cut cruelly short: it is a meditation on living well.

—— Jane Shilling , Mail

[H]e writes with an eloquence that befits his love of the literary.

—— Brad Davies , i

An eloquent meditation on our mortality, the brain, the meaning of life, fatherhood and the doctor-patient relationship, this powerful, inspirational book should appeal to readers who are enjoying watching BBC2’s current Hospital series. I couldn’t put this profoundly moving memoir down – but it is not for the squeamish or faint-hearted, and may scare hypochondriacs.

—— Rebecca Wallersteiner , The Lady

It’s not just that Kalanathi has a remarkable story to tell. The way he tells it is phenomenal… This is a superbly written and must-read autobiography – beautiful, poignant and thought-provoking.

—— Sam Hailes , Christianity

He writes movingly about how to make sense of a life so suddenly interrupted and what makes life worth living even as it fades away. A beautiful book about the resilience of the human spirit.

—— Red

Kalanithi’s candid yet artistic prose, peppered with medical terminology, conveys his life beautifully. We are taken on a journey from the nostalgic memories of his childhood in Arizona to his final days in the hospital bed… he raw and emotional portrayal of his pain and their family’s grief is not an easy read, but a compelling one.

—— Angela Huang , Boar

A thoroughly enjoyable, epic read, When Breath Becomes Air should be at the top of everyone’s ‘to read’ list. Paul Kalanithi beautifully bridges the gaps between philosophy, science and literature in his memoir which depicts the reality of life lived in the face of death… Kalanithi writes sublimely, elegantly and honestly. His words are spun together as though with a golden thread, and all that he writes is from the heart. His admiration for the written word shines through and the mammoth task of composing his memoir, after receiving his diagnosis, is executed exquisitely… It is a novel filled with tenderness, heartbreak and bittersweet nostalgia. It is a novel containing power, strength and beauty. And it is a novel that will stay with you long after its cover has been closed.

—— Lauren Molyneux , Live

Informative, emotive, honest and a stark look at the path one takes when life pulls the rug out from under you.

—— Nudge

This book has stayed with me ever since I put it down. Absolutely extraordinary. This book is an example of how fragile and unfair life can be.

—— Molly Ellis

It was a really incredible read and I couldn’t recommend it more.

—— Ella Mills , Good Web Guide

As a book detailing the insight into our own mortality, and the dedication of medical professionals who place their lives on hold to learn their craft, it’s fascinating. His accounts of coming face to face with cadavers – "donors" – and performing autopsies, his experiences with patients as he gave good and bad news, his mistakes as a surgeon which caused irreparable damage coupled with his success as a physician are an incredible insight into his life’s work… A melancholic read that I’d recommend to all student nurses, and anyone interested in reading the final thoughts of a doomed surgeon.

—— Six Out of Ten

Poignant and life-affirming, it's a devastating must-read

—— Woman & Home

Beautifully written... utterly heartbreaking and yet somehow life-affirming

—— Mike Gayle, author of THE MUSEUM OF ORDINARY PEOPLE , Good Housekeeping

The writing is beautiful and the whole book feels like a wondrous gift

—— Good Housekeeping

At a time when the NHS and key workers are doing their utmost to make sure people are safe, this medical memoir is one that will make you realise how courageous and hard-working our medical staff really are... The moving and intimidate book brings readers on a valuable and gut-wrenching journey through the meaning of life, exposes universal truths surrounding terminal illnesses and highlights the fragile relationship between doctor and patient

—— Country and Townhouse
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