Complete Works of Lewis Carroll (165 page)
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Authors: Lewis Carroll
19
20
EX4§ 4.
Pairs of Abstract Propositions, proposed as Premisses: Conclusions to be found.
1.
No
m
are
x
′
;
All
m
′
are
y
.
2.
No
m
′
are
x
;
Some
m
′
are
y
′
.
3.
All
m
′
are
x
;
All
m
′
are
y
′
.
4.
No
x
′
are
m
′
;
All
y
′
are
m
.
5.
Some
m
are
x
′
;
No
y
are
m
.
6.
No
x
′
are
m
;
No
m
are
y
.
7.
No
m
are
x
′
;
Some
y
′
are
m
.
8.
All
m
′
are
x
′
;
No
m
′
are
y
.
9.
Some
x
′
are
m
′
;
No
m
are
y
′
.
10.
All
x
are
m
;
All
y
′
are
m
′
.
11.
No
m
are
x
;
All
y
′
are
m
′
.
12.
No
x
are
m
;
All
y
are
m
.
13.
All
m
′
are
x
;
No
y
are
m
.
14.
All
m
are
x
;
All
m
′
are
y
.
15.
No
x
are
m
;
No
m
′
are
y
.
16.
All
x
are
m
′
;
All
y
are
m
.
17.
No
x
are
m
;
All
m
′
are
y
.
18.
No
x
are
m
′
;
No
m
are
y
.
19.
All
m
are
x
;
All
m
are
y
′
.
20.
No
m
are
x
;
All
m
′
are
y
.
21.
All
x
are
m
;
Some
m
′
are
y
.
22.
Some
x
are
m
;
All
y
are
m
.
23.
All
m
are
x
;
Some
y
are
m
.
24.
No
x
are
m
;
All
y
are
m
.
25.
Some
m
are
x
′
;
All
y
′
are
m
′
.
26.
No
m
are
x
′
;
All
y
are
m
.
27.
All
x
are
m
′
;
All
y
′
are
m
.
28.
All
m
are
x
′
;
Some
m
are
y
.
29.
No
m
are
x
;
All
y
are
m
′
.
30.
All
x
are
m
′
;
Some
y
are
m
.
31.
All
x
are
m
;
All
y
are
m
.
32.
No
x
are
m
′
;
All
m
are
y
.
33.
No
m
are
x
;
No
m
are
y
.
34.
No
m
are
x
′
;
Some
y
are
m
.
35.
No
m
are
x
;
All
y
are
m
.
36.
All
m
are
x
′
;
Some
y
are
m
.
37.
All
m
are
x
;
No
y
are
m
.
38.
No
m
are
x
;
No
m
′
are
y
.
39.
Some
m
are
x
′
;
No
m
are
y
.
40.
No
x
′
are
m
;
