3. Aristotle’s Syllogistic

Kapitel in diesem Buch

1. Frontmatter i
2. CONTENTS vii
3. Preface xi
4. I. The Pain and Pleasure of Logic
5. 1. Is Logic Boring and Pointless? 3
6. 2. Logic Just for Fun 15
7. II. Lewis Carroll and Aristotelian Logic
8. 3. Aristotle’s Syllogistic 31
9. 4. The Empuzzlement of Aristotelian Logic 50
10. 5. Sorites Puzzles 68
11. 6. Carroll’s Contributions to Mind 93
12. III. Raymond Smullyan and Mathematical Logic
13. 7. Liars and Truthtellers 115
14. 8. From Aristotle to Russell 137
15. 9. Formal Systems in Life and Math 154
16. 10. The Empuzzlement of Gödel’s Theorems 164
17. 11. Question Puzzles 184
18. IV. Puzzles Based on Nonclassical Logics
19. 12. Should “Logics” Be a Word? 201
20. 13. Many-Valued Knights and Knaves 212
21. V. Miscellaneous Topics
22. 14. The Saga of the Hardest Logic Puzzle Ever 239
23. 15. Metapuzzles 266
24. 16. Paradoxes 274
25. 17. A Guide to Some Literary Logic Puzzles 292
26. Glossary 311
27. References 319
28. Index 327