95. All shillings are round;
All these coins are round.
96. No honest men cheat;
No dishonest men are trustworthy.
97. None of my boys are clever;
None of my girls are greedy.
98. All jokes are meant to amuse;
No Act of Parliament is a joke.
99. No eventful tour is ever forgotten;
Uneventful tours are not worth writing a book about.
100. All my boys are disobedient;
All my girls are discontented.
101. No unexpected pleasure annoys me;
Your visit is an unexpected pleasure.
[EX6]§ 6.
Trios of Abstract Propositions, proposed as Syllogisms: to be examined.
| 1. | Some x are m; | No m are y′. | Some x are y. | ||
| 2. | All x are m; | No y are m′. | No y are x′. | ||
| 3. | Some x are m′; | All y′ are m. | Some x are y. | ||
| 4. | All x are m; | No y are m. | All x are y′. | ||
| 5. | Some m′ are x′; | No m′ are y. | Some x′ are y′. | ||
| 6. | No x′ are m; | All y are m′. | All y are x′. | ||
| 7. | Some m′ are x′; | All y′ are m′. | Some x′ are y′. | ||
| 8. | No m′ are x′; | All y′ are m′. | All y′ are x. | ||
| 9. | Some m are x′; | No m are y. | Some x′ are y′. | ||
| 10. | All m′ are x′; | All m′ are y. | Some y are x′. | ||
| 11. | All x are m′; | Some y are m. | Some y are x′. | ||
| 12. | No x are m; | No m′ are y′. | No x are y′. | ||
| 13. | No x are m; | All y′ are m. | All y′ are x′. | ||
| 14. | All m′ are x′; | All m′ are y. | Some y are x′. | ||
| 15. | Some m are x′; | All y are m′. | Some x′ are y′. | ||
| 16. | No x′ are m; | All y′ are m′. | Some y′ are x. | ||
| 17. | No m′ are x; | All m′ are y′. | Some x′ are y′. | ||
| [pg107]18. | No x′ are m; | Some m are y. | Some x are y. | ||
| 19. | Some m are x; | All m are y. | Some y are x′. | ||
| 20. | No x′ are m′; | Some m′ are y′. | Some x are y′. | ||
| 21. | No m are x; | All m are y′. | Some x′ are y′. | ||
| 22. | All x′ are m; | Some y are m′. | All x′ are y′. | ||
| 23. | All m are x; | No m′ are y′. | No x′ are y′. | ||
| 24. | All x are m′; | All m′ are y. | All x are y. | ||
| 25. | No x are m′; | All m are y. | No x are y′. | ||
| 26. | All m are x′; | All y are m. | All y are x′. | ||
| 27. | All x are m; | No m are y′. | All x are y. | ||
| 28. | All x are m; | No y′ are m′. | All x are y. | ||
| 29. | No x′ are m; | No m′ are y′. | No x′ are y′. | ||
| 30. | All x are m; | All m are y′. | All x are y′. | ||
| 31. | All x′ are m′; | No y′ are m′. | All x′ are y. | ||
| 32. | No x are m; | No y′ are m′. | No x are y′. | ||
| 33. | All m are x′; | All y′ are m. | All y′ are x′. | ||
| 34. | All x are m′; | Some y are m′. | Some y are x. | ||
| 35. | Some x are m; | All m are y. | Some x are y. | ||
| 36. | All m are x′; | All y are m. | All y are x′. | ||
| 37. | No m are x′; | All m are y′. | Some x are y′. | ||
| 38. | No x are m; | No m are y′. | No x are y′. | ||
| 39. | No m are x; | Some m are y′. | Some x′ are y′. | ||
| 40. | No m are x′; | Some y are m. | Some x are y. |