Complete Works of Lewis Carroll (186 page)

BOOK: Complete Works of Lewis Carroll
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    [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.

BOOK: Complete Works of Lewis Carroll
10.81Mb size Format: txt, pdf, ePub
ads

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