Complete Works of Lewis Carroll (175 page)

27

28

29

30

31

32

AN3
Answers to § 3.

  1.
Some
xy
exist, or some
x
are
y
, or some
y
are
x
.

  2.
No information.

  3.
All
y
′
are
x
′
.

  4.
No
xy
exist, &c.

  5.
All
y
′
are
x
.

  6.
All
x
′
are
y
.

  7.
All
x
are
y
.

  8.
All
x
′
are
y
′
, and all
y
are
x
.

  9.
All
x
′
are
y
′
.

10.
All
x
are
y
′
.

11.
No information.

12.
Some
x
′y′
exist, &c.

13.
Some
xy
′
exist, &c.

14.
No
xy
′
exist, &c.

15.
Some
xy
exist, &c.

16.
All
y
are
x
.

17.
All
x
′
are
y
, and all
y
′
are
x
.

18.
All
x
are
y
′
, and all
y
are
x
′
.

19.
All
x
are
y
, and all
y
′
are
x
′
.

20.
All
y
are
x
′
.

AN4
Answers to § 4.

  1.
No
x
′
are
y
′
.

  2.
Some
x
′
are
y
′
.

  3.
Some
x
are
y
′
.

  4.
[No Concl.
Fallacy of Like Eliminands not asserted to exist.]

  5.
Some
x
′
are
y
′
.

  6.
[No Concl.
Fallacy of Like Eliminands not asserted to exist.]

  7.
Some
x
are
y
′
.

  8.
Some
x
′
are
y
′
.

  9.
[No Concl.
Fallacy of Unlike Eliminands with an Entity-Premiss.]

10.
All
x
are
y
, and all
y
′
are
x
′
.

11.
[No Concl.
Fallacy of Like Eliminands not asserted to exist.]

12.
All
y
are
x
′
.

13.
No
x
′
are
y
.

14.
No
x
′
are
y
′
.

15.
No
x
are
y
.

16.
All
x
are
y
′
, and all
y
are
x
′
.

17.
No
x
are
y
′
.

18.
No
x
are
y
.

19.
Some
x
are
y
′
.

20.
No
x
are
y
′
.