Graph Theory
Probability and Graph Theory have one important thing in common. They are both major mathematical developments that owe their very existence to frivolous mathematical problems that no “practical man” would deem worthy of consideration. The present chapter
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Mathematical Problems An Essay on Their Nature and Importance
Mathematical Problems
Books by the same Author: University of Illinois at Chicago Circle: Notes on Hilbert’s Tenth Problem; An Introduction to Unsolvability 1972 Springer-Verlag: Self-Reference and Modal Logic 1985 Logical Number Theory I; An Introduction 1991 History of Mathematics; A Supplement 2008 MVT: A Most Valuable Theorem 2017 College Publications: Adventures in Formalism 2012 Chapters in Mathematics 2012 Chapters in Probability 2012 A Treatise on the Binomial Theorem 2012
Craig Smoryński
Mathematical Problems An Essay on Their Nature and Importance
Craig Smoryński Westmont, IL, USA
ISBN 978-3-030-50919-4 ISBN 978-3-030-50917-0 (eBook) https://doi.org/10.1007/978-3-030-50917-0 Mathematics Subject Classification (2020): 00A05, 00A08, 00A35, 01A99, 03A05, 05C15, 05C45, 60-03, 60A05 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Cover Figure: Facsimile extract from Henri de Parville, La tour d’Hanoï et la question du Tonkin, La Nature, Douzième année, premier semestre, Masson, Paris, 1884.
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Contents
1
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
2
Logic Puzzles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.1 Traditional Logic Puzzles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Knowledge-Based Puzzles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.3 Liars and Truth-Tellers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.4 Concluding Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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