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### Lewis Carroll's Logic Problems

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Date: 01/15/97 at 23:28:55
From: Anonymous
Subject: Carroll Lewis' logic problems

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
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Date: 01/16/97 at 00:35:01
From: Doctor Sarah
Subject: Re: Carroll Lewis' logic problems

Hello!

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.

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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Associated Topics:
College Logic
High School Logic
Middle School Logic

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