Complete Works of Lewis Carroll (184 page)

BOOK: Complete Works of Lewis Carroll
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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
.

 

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