Complete Works of Lewis Carroll (184 page)
Read Complete Works of Lewis Carroll Online
Authors: Lewis Carroll
Hence proposed Conclusion is right.
9.
Some
m
are
x
′
; No
m
are
y
.
Some
x
′
are
y
′
.
Hence proposed Conclusion is right.
10.
All
m
′
are
x
′
; All
m
are
y
.
Some
y
are
x
′
.
Hence proposed Conclusion is right.
SL7-A
Solutions for § 7, Nos.
1–6.
1.
No doctors are enthusiastic;
You are enthusiastic.
You are not a doctor.
Univ.
“persons”;
m
= enthusiastic;
x
= doctors;
y
= you.
No
x
are
m
;
All
y
are
m
.
All
y
are
x
′
.
∴
All
y
are
x
′
.
Hence proposed Conclusion is right.
2.
All dictionaries are useful;
Useful books are valuable.
Dictionaries are valuable.
Univ.
“books”;
m
= useful;
x
= dictionaries;
y
= valuable.
All
x
are
m
;
All
m
are
y
.
All
x
are
y
.
∴
All
x
are
y
.
Hence proposed Conclusion is 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.
No
m
are
x
′
;
No
m
′
are
y
.
No
x
′
are
y
.
