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COUNTING

Humans, History and the Infinite Lives of Numbers

Benjamin Wardhaugh

 

 

 

 

 

 











Copyright

William Collins

An imprint of HarperCollinsPublishers

1 London Bridge Street

London SE1 9GF

WilliamCollinsBooks.com

Macken House, 39/40 Mayor Street Upper,

Dublin 1, D01 C9W8, Ireland

This eBook first published in Great Britain by William Collins in 2024

Copyright © Benjamin Wardhaugh

Benjamin Wardhaugh asserts the moral right to be identified as the author of this work

Cover design by Ola Galewicz

A catalogue record for this book is available from the British Library

All rights reserved under International and Pan-American Copyright Conventions. By payment of the required fees, you have been granted the non-exclusive, non-transferable right to access and read the text of this e-book on-screen. No part of this text may be reproduced, transmitted, down-loaded, decompiled, reverse engineered, or stored in or introduced into any information storage and retrieval system, in any form or by any means, whether electronic or mechanical, now known or hereinafter invented, without the express written permission of HarperCollins

Source ISBN: 9780008436469

Ebook Edition © June 2024 ISBN: 9780008436483

Version: 2024-06-27









Dedication












For William, Ralph and Laurence

Contents

Cover

Title Page

Copyright

Dedication

Introduction: What is counting?

PART 1. ROOTS

1 Number sense before counting

2 Counting before writing: Africa and beyond

Interlude: The numbers

PART 2. BRANCHES

3 Counting with words and symbols in the Fertile Crescent

4 Counter culture from Athens to the Atlantic

5 Number symbols from India

Interlude: Number symbols

6 Machines that count: Around East Asia

7 Counting words and more in the Pacific world

8 Panorama: Counting in the Americas

Conclusion

Notes on sources

Are sens