Complete Works of Lewis Carroll (186 page)
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Authors: Lewis Carroll
[Fallacy of Like Eliminands not asserted to exist.]
12.
xm
0
†
y
1
m
′
0
¶
y
1
x
0
[Fig.
I (α).
i.e.
“All
y
are
x
′
.”
13.
m
′
1
x
′
0
†
ym
0
¶
x
′y
0
[Fig.
I.
i.e.
“No
x
′
are
y
.”
14.
m
1
x
′
0
†
m
′
1
y
′
0
¶
x
′y′
0
[Fig.
I.
i.e.
“No
x
′
are
y
′
.”
15.
xm
0
†
m
′y
0
¶
xy
0
[Fig.
I.
i.e.
“No
x
are
y
.”
16.
x
1
m
0
†
y
1
m
′
0
¶ (
x
1
y
0
†
y
1
x
0
) [Fig.
I (β).
i.e.
“All
x
are
y
′
and all
y
are
x
′
.”
17.
xm
0
†
m
′
1
y
′
0
¶
xy
′
0
[Fig.
I.
i.e.
“No
x
are
y
′
.”
18.
xm
′
0
†
my
0
¶
xy
0
[Fig.
I.
i.e.
“No
x
are
y
.”
19.
m
1
x
′
0
†
m
1
y
0
¶
xy
′
1
[Fig.
III.
i.e.
“Some
x
are
y
′
.”
20.
mx
0
†
m
′
1
y
′
0
¶
xy
′
0
[Fig.
I.
i.e.
“No
x
are
y
′
.”
21.
x
1
m
′
0
†
m
′y
1
¶
x
′y
1
[Fig.
II.
i.e.
“Some
x
′
are
y
.”
22.
xm
1
†
y
1
m
′
0
¶ nothing.
[Fallacy of Unlike Eliminands with an Entity-Premiss.]
23.
m
1
x
′
0
†
ym
1
¶
xy
1
[Fig.
II.
i.e.
“Some
x
are
y
.”
24.
xm
0
†
y
1
m
′
0
¶
y
1
x
0
[Fig.
I (α).
i.e.
“All
y
are
x
′
.”
25.
mx
′
1
†
my
′
0
¶
x
′y
1
[Fig.
II.
i.e.
“Some
x
′
are
y
.”
26.
mx
′
0
†
y
1
m
′
0
¶
y
1
x
′
0
[Fig.
I (α).
i.e.
“All
y
are
x
.”
27.
x
1
m
0
†
y
′
1
m
′
0
¶ (
x
1
y
′
0
†
y
′
1
x
0
) [Fig.
I (β).
i.e.
“All
x
are
y
, and all
y
′
are
x
′
.”
28.
m
1
x
0
†
my
1
¶
x
′y
1
[Fig.
II.
i.e.
“Some
x
′
are
y
.”
29.
mx
0
†
y
1
m
0
¶ nothing.
[Fallacy of Like Eliminands not asserted to exist.]
30.
x
1
m
0
†
ym
1
¶
x
′y
1
[Fig.
II.
i.e.
“Some
y
are
x
′
.”
31.
x
1
m
′
0
†
y
1
m
′
0
¶ nothing.
[Fallacy of Like Eliminands not asserted to exist.]
32.
xm
′
0
†
m
1
y
′
0
¶
xy
′
0
[Fig.
I.
i.e.
“No
x
are
y
′
.”
33.
mx
0
†
my
0
¶ nothing.
[Fallacy of Like Eliminands not asserted to exist.]
34.
mx
′
0
†
ym
1
¶
xy
1
[Fig.
II.
i.e.
“Some
x
are
y
.”
35.
mx
0
†
y
1
m
′
0
¶
y
1
x
0
[Fig.
I (α).
i.e.
“All
y
are
x
′
.”
36.
m
1
x
0
†
ym
1
¶
x
′y
1
[Fig.
II.
i.e.
“Some
x
′
are
y
.”
37.
m
1
x
′
0
†
ym
0
¶
xy
′
1
[Fig.
III.
i.e.
“Some
x
are
y
′
.”
38.
mx
0
†
m
′y
0
¶
xy
0
[Fig.
I.