22. x'_{1}m'_{0} + ym'_{1} ¶ xy_{1} [Fig. II.] Concl. wrong:
the right one is "Some x are y."
23. m_{1}x'_{0} + m'y'_{0} ¶ x'y'_{0} [Fig. I.] Concl. right.
24. x_{1}m_{0} + m'_{1}y'_{0} ¶ x_{1}y'_{0} [Fig. I (a).] "
25. xm'_{0} + m_{1}y'_{0} ¶ xy'_{0} [Fig. I.] "
26. m_{1}x_{0} + y_{1}m'_{0} ¶ y_{1}x_{0} [Fig. I (a).] "
27. x_{1}m'_{0} + my'_{0} ¶ x_{1}y'_{0} [ " ] "
28. x_{1}m'_{0} + y'm'_{0} Fallacy of Like Eliminands not asserted to
exist.
29. x'm_{0} + m'y'_{0} ¶ x'y'_{0} [Fig. I.] Concl. right.
30. x_{1}m'_{0} + m_{1}y_{0} ¶ x_{1}y_{0} [Fig. I (a).] "
31. x'_{1}m_{0} + y'm'_{0} ¶ x'_{1}y'_{0} [ " ] "
32. xm_{0} + y'm'_{0} ¶ xy'_{0} [Fig. I.] "
33. m_{1}x_{0} + y'_{1}m'_{0} ¶ y'_{1}x_{0} [Fig. I (a).] "
34. x_{1}m_{0} + ym'_{1} Fallacy of Unlike Eliminands with an
Entity-Premiss.
35. xm_{1} + m_{1}y'_{0} ¶ xy_{1} [Fig. II.] Concl. right.
36. m_{1}x_{0} + y_{1}m'_{0} ¶ y_{1}x_{0} [Fig. I (a).] "
37. mx'_{0} + m_{1}y_{0} ¶ xy'_{1} [Fig. III.] "
38. xm_{0} + my'_{0} Fallacy of Like Eliminands not asserted to exist.
39. mx_{0} + my'_{1} ¶ x'y'_{1} [Fig. II.] Concl. right.
40. mx'_{0} + ym_{1} ¶ xy_{1} [Fig. II.] "
pg150
_Solutions for § 7._ SL7-B
1. No doctors are enthusiastic;
You are enthusiastic.
You are not a doctor.
Univ. "persons"; m = enthusiastic; x = doctors; y = you.
xm_{0} + y_{1}m'_{0} ¶ y_{1}x_{0} [Fig. I (a).
Conclusion right.
2. Dictionaries are useful;
Useful books are valuable.
Dictionaries are valuable.
Univ. "books"; m = useful; x = dictionaries; y = valuable.
x_{1}m'_{0} + m_{1}y'_{0} ¶ x_{1}y'_{0} [Fig. I (a).
Conclusion right.
3. No misers are unselfish;
None but misers save egg-shells.
No unselfish people save egg-shells.
Univ. "people"; m = misers; x = selfish; y = people who save egg-shells.
mx'_{0} + m'y_{0} ¶ x'y_{0} [Fig. I.
Conclusion right.
4. Some epicures are ungenerous;
All my uncles are generous.
My uncles are not epicures.
Univ. "persons"; m = generous; x = epicures; y = my uncles.
xm'_{1} + y_{1}m'_{0} ¶ xy'_{1} [Fig. II.
Conclusion wrong: right one is "Some epicures are not uncles of mine."
5. Gold is heavy;
Nothing but gold will silence him.
Nothing light will silence him.
Univ. "things"; m = gold; x = heavy; y = able to silence him.
m_{1}x'_{0} + m'y_{0} ¶ x'y_{0} [Fig. I.
Conclusion right.
6. Some healthy people are fat;
No unhealthy people are strong.
Some fat people are not strong.
Univ. "people"; m = healthy; x = fat; y = strong.
mx_{1} + m'y_{0}
No Conclusion. [Fallacy of Unlike Eliminands with an Entity-Premiss.]
7. I saw it in a newspaper;
All newspapers tell lies.
It was a lie.
Public-domain text, read in full here on John Shaqi.
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