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Lewis Carroll at Play
A Thesis
Presented to
the Chancellor's Scholars Council of
The University of North Carolina at Pembroke
In Partial Fulfillment
Of the Requirements for Completion of
The Chancellor's Scholars Program
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By
James Nichols December 4,2001
: ? Faculty Advisor's Approval ~
Faculty Advisor's Approvaldi: Faculty Advisor's APproi
~
Date
296640
Lewis Carroll at Play Chancellor's Scholars Paper Outline
I. Introduction A. Popularity of the Alice books B. Lewis Carroll background & summary ofAlice books C. Lewis Carroll put Alice books together for insight D. Lewis Carroll incorporated math, logic and games in Through the Looking Glass and Alice's Adventures in Wonderland, which benefits computer scientists and mathematicians.
II. Mathematics in Alice books relates to computer science A. Properties
1. Identity 2. Inverses 3. No solution problems (nonsense) 4. Rules not absolute-always an exception B. Symmetry C. Dimensions D. Meaning of mathematical phrases E. Null class F. Math puzzles 1. Multiplying 2. Alice's running 3. Line puzzle 4. Time 5. Zero-sum game 6. Transformations G. Mathematical puns
m. Logic in the Alice books relates to computer science
A. Concepts being broken down B. Humpty Dumpty chooses what words mean C. Need for Order D. Alice as a logician E. Logic of a child F. Don't assume anything G. Symbols
N. Games in the Alice books relates to computer science A. Cards B. Chess C. Acrostics D. Doublets E. Syzgies F. Magic Tricks
1. Fan 2. Apple 3. Magic Number G. Mazes H. Carroll's Games
V. What Lewis Carroll offers to Computer Science and Mathematics today A. Allows more people to enjoy mathematics
1. Caused more people to be interested in math 2. Origami 3. Teaching Math 4. Tangrams 5. Perspectives B. New ways to think
-Things should be thought of in a new way-find new ways of doing things (Alice trying to find the Queen)
C. Inventing D. Dodgson's Puzzle-Where Does the Day Begin? E. Datawocky F. Computer Programs
1. Some programs will blow up with wrong input 2. Quality of a product is better than quantity 3. Limited Resources (time and memory (space) complexity)
a. Bread and Butter Fly b. So many squares on board with so many who can occupy a square 4. Beware of infinite loops-Red King Dreamed it or Alice? 5. Different rules depending on what the program will be used to accomplish 6. Victorian England's changes-must constantly adapt G. Ambiguous Languages H. Boolean Algebra
VII. Conclusion A. Must constantly update programs so not to become extinct B. Carroll thought of things differently and open new branch of children's lit C. Carroll's adventures are played in the mind
Nichols I
Lewis Carroll at Play I. Introduction
Lewis Carroll, a.k.a. Charles Lutwidge Dodgson, is a person whose books, Alice in Wonderland and Through the Looking Glass, have been quoted frequently in this century and are loved and cherished by many. Almost everyone as a child has listened to or read about Alice and her adventures in Wonderland. Why are they so popular? Florence Becker Lennon said Dodgson was able to "deal with contradictions and horrors and irrationalities, and to convert them into an art form that gives release to children and adults alike." The comedy and attention to "paradoxes ofthe human condition" is one reason adult readers love Lewis Carroll; because he journeys with them on the "quest for meaning and order" (Rackin 103). Yet another reason could be that he makes math puzzles and the like fun and enjoyable--{)ne doesn't realize they are mathematical puzzles. He unified math, puzzles and games (including chess) and literature, concepts dynamically opposed which most people would not believe could ever go together.
The writer Lewis Carroll may be more interesting than his ordinary human counterpart, Charles Dodgson. Charles Dodgson (1832-1898) was the eldest son of Charles and Francis Jane Lutwidge Dodgson. Growing up, Dodgson's father was a clergyman and so followed in his father's footsteps. Charles often entertained his 10 other siblings by inventing games. He also wrote for the family magazine. In 1850 he entered Christ Church at Oxford and went from a bachelor and master's of arts degrees to being a mathematical lecturer. While he never married, he was the head of his family after both his parents died, since he provided a house for his unwed
Nichols 2 sisters. Carroll was also fond of girl children and enjoyed taking their pictures. This is how he met the Liddell children to whom he told the story of Alice's Adventures under Ground; Alice in the book is named after Alice Liddell. Because Alice wanted a written copy, Dodgson obliged and she received a published copy three years after telling his tale. Alice's Adventures under Ground was revised and became Alice's Adventures in Wonderland. Due to the great success of Lewis Carroll's first book, he proceeded and completed the sequel Through the Looking Glass, a book similar to the first but very different.
In Alice's Adventures in Wonderland while Alice is listening to a story, young Alice spots a White Rabbit with a pocket watch and can talk, which she chases down a hole underground. Her decision to follow the White Rabbit introducing Alice to meet a series of confusing characters including: Caterpillar, Mad Hatter and March Hare, Duchess, Gryphon and Mock Turtle, gardeners (who are cards), Cheshire Cat who has a smile without a body and the King and Queen of Hearts (also cards). Following a series of adventures that culminate with the trial of the Knave of Hearts accused by the Queen of Hearts of stealing her tarts, Alice grows wearied and angered at the proceedings and wakes up from her dream.
Through the Looking Glass may contain the same primary character as Alice's Adventures in Wonderland, however Alice is older and more mature in the looking-glass world. In Through the Looking Glass Alice is talking to Dinah's black kitten and pretending she can go through a mirror into a looking glass house. Once inside, she sees a chessboard with the pieces talking. She exits the house into the garden and chats with the flowers, who tell her the Red Queen is in the garden. Alice tries to walk towards the Queen, but only gets farther away. Then she realizes she must walk away from the Red Queen to get to her (looking glass reversal). The
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