son of mine is dishonest;
People always treat an honest man with respect."

Univ. "men"; m = honest; x = my sons; y = treated with respect.

xm'_{0} + m_{1}y'_{0} > xy'_{0} [Fig. I.

_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 = hav