Lewis Carroll Logic Problems - PE36
The original problem has 8 premisses and 11 attributes
NumberPremiss
1A just man is always respected
2No fat kings are active and merry
3A man who is hated or respected is no longer young
4None but kings and queens wear crowns
5No man who is lean or indolent is much admired
6An unjust queen is hated
The universe of discourse is persons. We will use the following dictionary:
Attribute symbolAttribute
aactive
bfat
chated
djust
ekings
kmerry
lmuch admired
mold
nqueens
rrespected
swearing a crown
So the symbolic form of the premisses is as follows:
Premiss. There are no persons that areSymbolic form of premiss
1. just, not respected, dr'
2. fat, kings, active, merry, beak
3. hated, not old, cm'
4. respected, not old, rm'
5. not kings, not queens, wearing a crown, e'n's
6. not fat, much admired, lb'
7. not active, much admired, la'
8. not just, not hated, queens, nd'c'
The registry is:
EntityAppears inComplement appears in
a2 7
b2 6
c3 8
d1 8
e2 5
k2
l6 7
m3 4
n8 5
r4 1
s5
Solution to be tested is km'sl