Lewis Carroll's Logic Problems
Date: 01/15/97 at 23:28:55 From: Anonymous Subject: Carroll Lewis' logic problems Dear Sir/Madam, I'm looking for some problems written by Lewis Carroll, the author of _Alice's Adventures in Wonderland_. I know he was a well-known mathematician who wrote some problems on logic for his daughter. The problems involve three people, A, B and C. If A says that B is a liar and C says that A lies, who is telling the truth? I know I'm not being very specific, but I would be grateful if you could help me find a collection of those problems. Thank you very much! Best regards, Anonymous
Date: 01/16/97 at 00:35:01 From: Doctor Sarah Subject: Re: Carroll Lewis' logic problems Hello! You're the second person this week to write asking about Lewis Carroll's logic problems. Following is all I have been able to find. I think you'll need to consult a library offline for the problems themselves. Here's a book by Carroll on logic: AUTHOR Carroll, Lewis, 1832-1898. TITLE Symbolic logic. Part I. Elementary EDITION Second edition. PUBLISHER London, New York, Macmillan, 1896. DESCRIPT xxxi, 192 p. diagrs. 17 cm. SUBJECT Logic, Symbolic and mathematical. NOTE Williams and Madan (l962) no.270. This book was intended to be an introduction to logic for children. You can find the introduction to it at: http://www.lhup.edu/~dsimanek/carroll.htm Locating all kinds of information about Lewis Carroll (his pseudonym) or Charles L. Dodgson (his real name) is pretty easy if you use Altavista: http://altavista.digital.com/ and type in the words "Lewis Carroll logic" For an article with examples of math in Lewis Carroll's work, "Hankies, Snarks, and Triangles" by Ivars Peterson: http://www.maa.org/mathland/mathland_1_13.html Take a look at a page called "New Light on Lewis Carroll" at: http://www.nuff.ox.ac.uk/Politics/McLean/black.html "Dodgson was the first person writing in English to point out that sometimes there is a majority for A over B, for B over C, and for C over A - all at the same time! He also wrote pamphlets about proportional representation and about tennis tournaments.... Writing in 1884, he praised the unpopular 'limited vote' which then operated in the big English cities, in which each voter had fewer votes than there were seats to fill. Most people thought that this was less democratic than giving each voter as many votes as there were seats. Dodgson proved that it was more democratic. To do so, he used concepts we would today label 'game theoretic', although such concepts were not formalised until decades after his death." Here's another of his works on logic: AUTHOR Carroll, Lewis, 1832-1898. TITLE The game of logic PUBLISHER London : Macmillan, 1886. DESCRIPT 96 p. : diagrs. ; 19 cm. SUBJECT Logic. There's a Lewis Carroll home page with many links to related materials on Lewis Carroll at: http://www.lewiscarroll.org/carroll.html -Doctor Sarah, The Math Forum Check out our web site! http://mathforum.org/dr.math/
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