17. Ill-managed business is unprofitable;
Railways are never ill-managed.
All railways are profitable.
Univ. "business"; m = ill-managed; x = profitable; y = railways.
m_{1}x_{0} + y_{1}m_{0} ¶ x'y'_{1} [Fig. III.
Conclusion wrong: right one is "Some business, other than railways, is
profitable."
18. No Professors are ignorant;
All ignorant people are vain.
No Professors are vain.
Univ. "people"; m = ignorant; x = Professors; y = vain.
xm_{0} + m_{1}y'_{0} ¶ x'y_{1} [Fig. III.
Conclusion wrong: right one is "Some vain persons are not Professors."
19. A prudent man shuns hyænas.
No banker is imprudent.
No banker fails to shun hyænas.
Univ. "men"; m = prudent; x = shunning hyænas; y = bankers.
m_{1}x'_{0} + ym'_{0} ¶ x'y_{0} [Fig. I.
Conclusion right.
20. All wasps are unfriendly;
No puppies are unfriendly.
No puppies are wasps.
Univ. "creatures"; m = friendly; x = wasps; y = puppies.
x_{1}m_{0} + ym'_{0} ¶ x_{1}y_{0} [Fig. I (a).
Conclusion incomplete: complete one is "Wasps are not puppies".
21. No Jews are honest;
Some Gentiles are rich.
Some rich people are dishonest.
Univ. "persons"; m = Jews; x = honest; y = rich.
mx_{0} + m'y_{1}
No Conclusion. [Fallacy of Unlike Eliminands with an Entity-Premiss.]
pg153
22. No idlers win fame;
Some painters are not idle.
Some painters win fame.
Univ. "persons"; m = idlers; x = persons who win fame; y = painters.
mx_{0} + ym'_{1}
No Conclusion. [Fallacy of Unlike Eliminands with an Entity-Premiss.]
23. No monkeys are soldiers;
All monkeys are mischievous.
Some mischievous creatures are not soldiers.
Univ. "creatures"; m = monkeys; x = soldiers; y = mischievous.
mx_{0} + m_{1}y'_{0} ¶ x'y_{1} [Fig. III.
Conclusion right.
24. All these bonbons are chocolate-creams;
All these bonbons are delicious.
Chocolate-creams are delicious.
Univ. "food"; m = these bonbons; x = chocolate-creams; y = delicious.
m_{1}x'_{0} + m_{1}y'_{0} ¶ xy_{1} [Fig. III.
Conclusion wrong, being in excess of the right one, which is "Some
chocolate-creams are delicious."
25. No muffins are wholesome;
All buns are unwholesome.
Buns are not muffins.
Univ. "food"; m = wholesome; x = muffins; y = buns.
xm_{0} + y_{1}m_{0}
No Conclusion. [Fallacy of Like Eliminands not asserted to exist.]
26. Some unauthorised reports are false;
All authorised reports are trustworthy.
Some false reports are not trustworthy.
Univ. "reports"; m = authorised; x = true; y = trustworthy.
m'x'_{1} + m_{1}y'_{0}
No Conclusion. [Fallacy of Unlike Eliminands with an Entity-Premiss.]
27. Some pillows are soft;
No pokers are soft.
Some pokers are not pillows.
Univ. "things"; m = soft; x = pillows; y = pokers.
xm_{1} + ym_{0} ¶ xy'_{1} [Fig. II.
Conclusion wrong: right one is "Some pillows are not pokers."
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