28. Improbable stories are not easily believed;
None of his stories are probable.
None of his stories are easily believed.
Univ. "stories"; m = probable; x = easily believed; y = his.
m'_{1}x_{0} + ym_{0} ¶ xy_{0} [Fig. I.
Conclusion right.
pg154
29. No thieves are honest;
Some dishonest people are found out.
Some thieves are found out.
Univ. "people"; m = honest; x = thieves; y = found out.
xm_{0} + m'y_{1}
No Conclusion. [Fallacy of Unlike Eliminands with an Entity-Premiss.]
30. No muffins are wholesome;
All puffy food is unwholesome.
All muffins are puffy.
Univ. is "food"; m = wholesome; x = muffins; y = puffy.
xm_{0} + y_{1}m_{0}
No Conclusion. [Fallacy of Like Eliminands not asserted to exist.]
31. No birds, except peacocks, are proud of their tails;
Some birds, that are proud of their tails, cannot sing.
Some peacocks cannot sing.
Univ. "birds"; m = proud of their tails; x = peacocks; y = birds that
cannot sing.
x'm_{0} + my'_{1} ¶ xy'_{1} [Fig. II.
Conclusion right.
32. Warmth relieves pain;
Nothing, that does not relieve pain, is useful in toothache.
Warmth is useful in toothache.
Univ. "applications"; m = relieving pain; x = warmth; y = useful in
toothache.
x_{1}m'_{0} + m'y_{0}
No Conclusion. [Fallacy of Like Eliminands not asserted to exist.]
33. No bankrupts are rich;
Some merchants are not bankrupts.
Some merchants are rich.
Univ. "persons"; m = bankrupts; x = rich; y = merchants.
mx_{0} + ym'_{1}
No Conclusion. [Fallacy of Unlike Eliminands with an Entity-Premiss.]
34. Bores are dreaded;
No bore is ever begged to prolong his visit.
No one, who is dreaded, is ever begged to prolong his visit.
Univ. "persons"; m = bores; x = dreaded; y = begged to prolong their
visits.
m_{1}x'_{0} + my_{0} ¶ xy'_{1} [Fig. III.
Conclusion wrong: the right one is "Some dreaded persons are not begged
to prolong their visits."
35. All wise men walk on their feet;
All unwise men walk on their hands.
No man walks on both.
Univ. "men"; m = wise; x = walking on their feet; y = walking on their
hands.
m_{1}x'_{0} + m'_{1}y'_{0} ¶ x'y'_{0} [Fig. I.
Conclusion wrong: right one is "No man walks on neither."
pg155
36. No wheelbarrows are comfortable;
No uncomfortable vehicles are popular.
No wheelbarrows are popular.
Univ. "vehicles"; m = comfortable; x = wheelbarrows; y = popular.
xm_{0} + m'x_{0} ¶ xy_{0} [Fig. I.
Conclusion right.
37. No frogs are poetical;
Some ducks are unpoetical.
Some ducks are not frogs.
Univ. "creatures"; m = poetical; x = frogs; y = ducks.
xm_{0} + ym'_{1}
No Conclusion. [Fallacy of Unlike Eliminands with an Entity-Premiss.]
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