PTER I.

_EXAMPLES._

Sec. 1. EX1

_Propositions of Relation, to be reduced to normal form._

1. I have been out for a walk.

2. I am feeling better.

3. No one has read the letter but John.

4. Neither you nor I are old.

5. No fat creatures run well.

6. None but the brave deserve the fair.

7. No one looks poetical unless he is pale.

8. Some judges lose their tempers.

9. I never neglect important business.

10. What is difficult needs attention.

11. What is unwholesome should be avoided.

12. All the laws passed last week relate to excise.

13. Logic puzzles me.

14. There are no Jews in the house.

15. Some dishes are unwholesome if not well-cooked.

16. Unexciting books make one drowsy.

17. When a man knows what he's about, he can detect a sharper.

18. You and I know what we're about.

19. Some bald people wear wigs.

20. Those who are fully occupied never talk about their grievances.

21. No riddles interest me if they can be solved.

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Sec. 2. EX2

_Pairs of Abstract Propositions, one in terms of x and m, and the other
in terms of y and m, to be represented on the same Triliteral Diagram._

1. No x are m;
No m' are y.

2. No x' are m';
All m' are y.

3. Some x' are m;
No m are y.

4. All m are x;
All m' are y'.

5. All m' are x;
All m' are y'.

6. All x' are m';
No y' are m.

7. All x are m;
All y' are m'.

8. Some m' are x';
No m are y.

9. All m are x';
No m are y.

10. No m are x';
No y are m'.

11. No x' are m';
No m are y.

12. Some x are m;
All y' are m.

13. All x' are m;
No m are y.

14. Some x are m';
All m are y.

15. No m' are x';
All y are m.

16. All x are m';
No y are m.

17. Some m' are x;
No m' are y'.

18. All x are m';
Some m' are y'.

19. All m are x;
Some m are y'.

20. No x' are m;
Some y are m.

21. Some x' are m';
All y' are m.

22. No m are x;
Some m are y.

23. No m' are x;
All y are m'.

24. All m are x;
No y' are m'.

25. Some m are x;
No y' are m.

26. All m' are x';
Some y are m'.

27. Some m are x';
No y' are m'.

28. No x are m';
All m are y'.

29. No x' a