28. m_{1}x_{0} + my_{1} ¶ x'y_{1} [Fig. II. i.e. "Some x' are y." 29. mx_{0} + y_{1}m_{0} ¶ nothing. [Fallacy of Like Eliminands not asserted to exist.] 30. x_{1}m_{0} + ym_{1} ¶ x'y_{1} [Fig. II. i.e. "Some y are x'." 31. x_{1}m'_{0} + y_{1}m'_{0} ¶ nothing. [Fallacy of Like Eliminands not asserted to exist.] pg147 32. xm'_{0} + m_{1}y'_{0} ¶ xy'_{0} [Fig. I. i.e. "No x are y'." 33. mx_{0} + my_{0} ¶ nothing. [Fallacy of Like Eliminands not asserted to exist.] 34. mx'_{0} + ym_{1} ¶ xy_{1} [Fig. II. i.e. "Some x are y." 35. mx_{0} + y_{1}m'_{0} ¶ y_{1}x_{0} [Fig. I (a). i.e. "All y are x'." 36. m_{1}x_{0} + ym_{1} ¶ x'y_{1} [Fig. II. i.e. "Some x' are y." 37. m_{1}x'_{0} + ym_{0} ¶ xy'_{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 § 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.