An Introduction to Mathematical Reasoning
Transcript of An Introduction to Mathematical Reasoning
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 1/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 2/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 3/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 4/69
c
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place withoutthe written permission of Cambridge University Press.
Printed in the United Kingdom at the University Press, Cambridge
Library of Congress Cataloging in Publication data
p. cm.
1. I. Title.
CIP
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, Sa~o Paulo
Cambridge University Press
This publication is in copyright. Subject to statutory exception
Cambridge UniversityPress has no responsibility for the persistence or accuracy
accurate or appropriate.
Information on this title:www.cambridge.org/9780521597180
Cambridge University Press 2007
First published 1997
A catalogue record of this publication is available from the British Library
Eccles, Peter J., 1945-An introduction to mathematical reasoning: lectures on numbers, sets,
and functions / Peter J. Eccles.
Includes bibliographical references and index.ISBN 0 521 59269 0 hardback -- ISBN 0 521 59718 8 paperback
Proof theory.QA9.54.E23 1997
511.3–dc21 97-11977
The Edinburgh Building, Cambridge, CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
www.cambridge.org
ISBN 978-0-521-59718-0 paperback
Tenth printing 2007
CAMBRIDGE UNIVERSITY PRESS
and does not guaranteethat any content on such websites is, or will remain,of URLs for external or third-party intenet websites referred to in thispublication,
ISBN 978-0-521-59269-7 hardback
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 5/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 6/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 7/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 8/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 9/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 10/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 11/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 12/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 13/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 14/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 15/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 16/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 17/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 18/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 19/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 20/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 21/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 22/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 23/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 24/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 25/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 26/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 27/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 28/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 29/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 30/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 31/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 32/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 33/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 34/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 35/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 36/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 37/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 38/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 39/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 40/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 41/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 42/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 43/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 44/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 45/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 46/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 47/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 48/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 49/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 50/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 51/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 52/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 53/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 54/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 55/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 56/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 57/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 58/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 59/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 60/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 61/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 62/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 63/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 64/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 65/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 66/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 67/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 68/69
7/28/2019 An Introduction to Mathematical Reasoning
http://slidepdf.com/reader/full/an-introduction-to-mathematical-reasoning 69/69