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Matt Parker - Humble Pi: When Math Goes Wrong in the Real World

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Matt Parker Humble Pi: When Math Goes Wrong in the Real World
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RIVERHEAD BOOKS An imprint of Penguin Random House LLC penguinrandomhousecom - photo 2
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RIVERHEAD BOOKS

An imprint of Penguin Random House LLC

penguinrandomhouse.com

First published in Great Britain as Humble Pi A Comedy of Maths Errors by - photo 5

First published in Great Britain as Humble Pi: A Comedy of Maths Errors by Allen Lane, an imprint of Penguin Random House UK, 2019

Published by Riverhead Books 2020

Copyright 2019 by Matt Parker

Penguin supports copyright. Copyright fuels creativity, encourages diverse voices, promotes free speech, and creates a vibrant culture. Thank you for buying an authorized edition of this book and for complying with copyright laws by not reproducing, scanning, or distributing any part of it in any form without permission. You are supporting writers and allowing Penguin to continue to publish books for every reader.

Riverhead and the R colophon are registered trademarks of Penguin Random House LLC.

constitutes an extension of this copyright page.

Library of Congress Cataloging-in-Publication Data

Names: Parker, Matt (Mathematician), author.

Title: Humble pi : when math goes wrong in the real world / Matt Parker.

Identifiers: LCCN 2019029057 (print) | LCCN 2019029058 (ebook) | ISBN 9780593084687 (hardcover) | ISBN 9780593084700 (ebook)

Subjects: LCSH: MathematicsPopular works.

Classification: LCC QA93 .P37275 2020 (print) | LCC QA93 (ebook) | DDC 510dc23

LC record available at https://lccn.loc.gov/2019029057

LC ebook record available at https://lccn.loc.gov/2019029058

Jacket design: Lauren Peters-Collaer

Jacket images: (tricycle) Nerthuz / iStock / Getty Images Plus; (wheels) Tonchik1981 / iStock / Getty Images Plus

Version_1

Dedicated to my relentlessly supportive wife, Lucie.

Yes, I appreciate that dedicating a book about mistakes to your wife is itself a bit of a mistake.

AUTHORS NOTE ON PAGE NUMBERS

Several stories in Humble Pi involve a computer system that counts backward, then crashes when it hits zero and rolls over. There also are several math mistakes from the stories in the book that have been deliberately incorporated into the book itself. This is why the page numbers are in reverse order. Please dont take it back for a refund.

CONTENTS
Zero
INTRODUCTION

In 1995 Pepsi ran a promotion where people could collect Pepsi Points and then trade them in for Pepsi Stuff. A T-shirt was 75 points, sunglasses were 175 points, and there was even a leather jacket for 1,450 points. Wearing all three at once would get you some serious 90s points. The TV commercial where they advertised the points-for-stuff concept featured someone doing exactly that.

But the people making the commercial wanted to end it on some zany bit of classic Pepsi craziness. So wearing the T-shirt, shades, and leather jacket, the ad protagonist flies his Harrier Jet to school. Apparently, this military aircraft could be yours for 7 million Pepsi Points.

The joke is simple enough: they took the idea behind Pepsi Points and extrapolated it until it was ridiculous. Solid comedy writing. But then they seemingly didnt do the math. Seven million sure does sound like a big number, but I dont think the team creating the ad bothered to run the numbers and check that it was definitely big enough.

But someone else did. At the time, each AV-8 Harrier II Jump Jet brought into action cost the United States Marine Corps over $20 million and, thankfully, there is a simple way to convert between USD and PP: Pepsi would let anyone buy additional points for 10 cents each. Now, Im not familiar with the market for secondhand military aircraft, but a price of $700,000 on a $20 million aircraft sounds like a good investment. As it did to John Leonard, who tried to cash in on this.

And it was not just a lame tried. He went all in. The promotion required that people claimed their prizes with an original order form from the Pepsi Stuff catalog, traded a minimum of fifteen original Pepsi Points, and included a check to cover the cost of any additional points required, plus $10 for shipping and handling. John did all of that. He used an original form, he collected fifteen points from Pepsi products, and he put $700,008.50 into escrow with his attorneys to back the check. The guy actually raised the money! He was serious.

Pepsi initially refused his claim: The Harrier jet in the Pepsi commercial is fanciful and is simply included to create a humorous and entertaining ad. But Leonard was already lawyered up and ready to fight. His attorneys fired back with This is a formal demand that you honor your commitment and make immediate arrangements to transfer the new Harrier jet to our client. Pepsi didnt budge. Leonard sued, and it went to court.

The case involved a lot of discussion over whether the commercial in question was obviously a joke or if someone could conceivably take it seriously. The official notes from the judge acknowledge how ridiculous this is about to become: Plaintiffs insistence that the commercial appears to be a serious offer requires the Court to explain why the commercial is funny. Explaining why a joke is funny is a daunting task.

But they give it a go!

The teenagers comment that flying a Harrier Jet to school sure beats the bus evinces an improbably insouciant attitude toward the relative difficulty and danger of piloting a fighter plane in a residential area, as opposed to taking public transportation.

No school would provide landing space for a students fighter jet, or condone the disruption the jets use would cause.

In light of the Harrier Jets well-documented function in attacking and destroying surface and air targets, armed reconnaissance and air interdiction, and offensive and defensive antiaircraft warfare, depiction of such a jet as a way to get to school in the morning is clearly not serious.

Leonard never got his jet, and Leonard v. Pepsico, Inc. is now a part of legal history. I, personally, find it reassuring that, if I say anything that I characterize as zany humor, there is legal precedent to protect me from people who take it seriously. And if anyone has a problem with that, simply collect enough Parker Points for a free photo of me not caring (postage and handling charges may apply).

Pepsi took active steps to protect itself from future problems and re-released the ad with the Harrier increased in value to 700 million Pepsi Points. I find it amazing that they did not choose this big number in the first place. Its not like 7 million was funnier; the company just didnt bother to do the math when choosing an arbitrary large number.

As humans, we are not good at judging the size of large numbers. And even when we know one is bigger than another, we dont appreciate the size of the difference. I had to go on the BBC News in 2012 to explain how big a trillion is. The UK debt had just gone over 1 trillion, and they wheeled me out to explain that that is a big number. Apparently, shouting, Its really big! Now back to you in the studio, was insufficient, so I had to give an example.

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