'_{1} [Fig. III.
i.e. "Some x are y'."

38. mx_{0} + m'y_{0} > xy_{0} [Fig. I.
i.e. "No x are y."

39. mx'_{1} + my_{0} > x'y'_{1} [Fig. II.
i.e. "Some x' are y'."

40. x'm_{0} + y'_{1}m'_{0} > y'_{1}x'_{0} [Fig. I (a).
i.e. "All y' are x."

41. x_{1}m_{0} + ym'_{0} > x_{1}y_{0} [Fig. I (a).
i.e. "All x are y'."

42. m'x_{0} + ym_{0} > xy_{0} [Fig. I.
i.e. "No x are y."

_Solutions for Sec. 5, Nos. 13-24._ SL5-B

13. No Frenchmen like plumpudding;
All Englishmen like plumpudding.

Univ. "men"; m = liking plumpudding; x = French; y = English.

xm_{0} + y_{1}m'_{0} > y_{1}x_{0} [Fig. I (a).

i.e. Englishmen are not Frenchmen.

14. No portrait of a lady, that makes her simper or scowl, is
satisfactory;
No photograph of a lady ever fails to make her simper or scowl.

Univ. "portraits of ladies"; m = making the subject simper or scowl;
x = satisfactory; y = photographic.

mx_{0} + ym'_{0} > xy_{0} [Fig. I.

i.e. No photograph of a lady is satisfactory.

15. All pale people are phlegmatic;
No one looks poetical unless he is pale.

Univ. "people"; m = pale; x = phlegmatic; y = looking poetical.

m_{1}x'_{0} + m'y_{0} > x'y_{0} [Fig. I.

i.e. No one looks poetical unless he is phlegmatic.

16. No old misers are cheerful;
Some old misers are thin.

Univ. "persons"; m = old misers; x = cheerful; y = thin.

mx_{0} + my_{1} > x'y_{1} [Fig. II.

i.e. Some thin persons are not cheerful.

17. No one, who exercises self-control, fails to keep his temper;
Some judges lose their tempers.

Univ. "persons"; m = keeping their tempers; x = exercising self-control;
y = judges.

xm'_{0} + ym'_{1} > x'y_{1} [Fig. II.

i.e. Some judges do not exercise self-control.
pg148
18. All pigs are fat;
Nothing that is fed on barley-water is fat.

Univ. is "things"; m = fat; x = pigs; y = fed on barley-water.

x_{1}m'_{0} + ym_{0} > x_{1}y_{0} [Fig. I (a).

i.e. Pigs are not fed on barley-water.

19. All rabbits, that are not greedy, are black;
No old rabbits are free from greediness.

Univ. is "rabbits"; m = greedy; x = black; y = old.

m'_{1}x'_{0} + ym'_{0} > xy'_{1} [Fig. III.

i.e. Some black rabbits are not old.

20. Some pictures are not first attempts;
No first attempts are really good.

Univ. is