_i.e._ "No son of mine ever fails to be treated with respect." pg079 (2) [see p. 64] "All cats understand French; Some chickens are cats." Univ. "creatures"; m = cats; x = understanding French; y = chickens. m_{1}x'_{0} + ym_{1} ¶ xy_{1} [Fig. II. _i.e._ "Some chickens understand French." (3) [see p. 64] "All diligent students are successful; All ignorant students are unsuccessful." Univ. "students"; m = successful; x = diligent; y = ignorant. x_{1}m'_{0} + y_{1}m_{0} ¶ x_{1}y_{0} + y_{1}x_{0} [Fig. I (b). _i.e._ "All diligent students are learned; and all ignorant students are idle." (4) [see p. 66] "All soldiers are strong; All soldiers are brave. Some strong men are brave." Univ. "men"; m = soldiers; x = strong; y = brave. m_{1}x'_{0} + m_{1}y'_{0} ¶ xy_{1} [Fig. III. Hence proposed Conclusion is right. (5) [see p. 67] "I admire these pictures; When I admire anything, I wish to examine it thoroughly. I wish to examine some of these pictures thoroughly." Univ. "things"; m = admired by me; x = these; y = things which I wish to examine thoroughly. x_{1}m'_{0} + m_{1}y'_{0} ¶ x_{1}y'_{0} [Fig. I (a). Hence proposed Conclusion, xy_{1}, is _incomplete_, the _complete_ one being "I wish to examine _all_ these pictures thoroughly." pg080 (6) [see p. 67] "None but the brave deserve the fair; Some braggarts are cowards. Some braggarts do not deserve the fair." Univ. "persons"; m = brave; x = deserving of the fair; y = braggarts. m'x_{0} + ym'_{1} ¶ x'y_{1} [Fig. II. Hence proposed Conclusion is right. (7) [see p. 69] "No one, who means to go by the train and cannot get a conveyance, and has not enough time to walk to the station, can do without running; This party of tourists mean to go by the train and cannot get a conveyance, but they have plenty of time to walk to the station. This party of tourists need not run." Univ. "persons meaning to go by the train, and unable to get a conveyance"; m = having enough time to walk to the station; x = needing to run; y = these tourists. m'x'_{0} + y_{1}m'_{0} do not come under any of the three Figures. Hence it is necessary to return to the Method of Diagrams, as shown at p. 69. Hence there is no Conclusion. [Work Examples § =4=, 12-20 (p. 100); § =5=, 13-24 (pp. 101, 102); § =6=, 1-6 (p. 106); § =7=, 1-3 (pp. 107, 108). Also read Note (A), at p. 164.] pg081 § 3. _Fallacies._