| Preface |
|
vii | |
| Chronology of Events |
|
ix | |
| Introduction: From Gryphons to Gravity |
|
1 | |
|
Scene 1: The Mock Turtle's Education |
|
|
|
Scene 2: Humpty Dumpty's Cravat |
|
|
|
Scene 3: Alice's Examination |
|
|
|
Scene 4: What's in a Name? |
|
|
|
Scene 5: The Beaver's Lesson |
|
|
|
|
|
|
Scene 7: Fortunatus's Purse |
|
|
|
Scene 8: A Question of Gravity |
|
|
| Fit the First: The Children of the North |
|
21 | |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| Fit the Second: Uppe toe mine Eyes yn Worke |
|
39 | |
|
|
|
|
A Trio of Examinations: Responsions, Moderations, Finals |
|
|
| Fit the Third: Successes and Failures |
|
53 | |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| Fit the Fourth: ...in the Second Book of Euclid |
|
81 | |
|
|
|
|
|
|
|
The Dynamics of a Parti-cle |
|
|
|
|
|
|
Euclid and his Modern Rivals |
|
|
|
|
|
|
|
|
| Fit the Fifth: Send Me the Next Book... |
|
101 | |
|
|
|
|
|
|
|
|
|
|
An Algebra Lesson: The Algebraic Geometry of the Plane, Determinants, The Algebraic Geometry of Three-dimensional Space, Dodgson's 'Method of Condensation' |
|
|
|
|
|
|
|
|
| Fit the Sixth: Meat-safes, Majorities and Memory |
|
129 | |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Parliamentary Representation |
|
|
| Fit the Seventh: Puzzles, Problems and Paradoxes |
|
149 | |
|
|
|
|
Carroll's Puzzles: Arithmetical Puzzles, Geometrical Puzzles, River-crossing Puzzles |
|
|
|
Other Recreations: The Number 42, Finding the Day of the Week, Colouring Maps, The Monkey and the Weight, Every Triangle is Isosceles, A Symmetric Poem |
|
|
| Fit the Eighth: That's Logic |
|
171 | |
|
Prim Misses and Sillygisms |
|
|
|
|
|
|
|
|
|
Venn, Carroll and Churchill |
|
|
|
Logic Puzzles and Paradoxes |
|
|
|
What the Tortoise Said to Achilles |
|
|
| Conclusion: Math and Aftermath |
|
199 | |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| Notes and References |
|
210 | |
| Acknowledgements and Picture Credits |
|
231 | |
| Index |
|
233 | |