Lewis Carroll Logic Problems - PE32
The original problem has 12 premisses and 14 attributes
NumberPremiss
1All active old Jews are healthy;
2All indolent magistrates are unpopular;
3All rich snuff-takers are unhealthy;
4All sarcastic magistrates are Jews;
5All young snuff-takers are pale;
6All rich, old men, who are unhealthy, are sarcastic;
7All magistrates, who are not poets, are studious;
8All rosy magistrates are talented men;
9All talented and popular students are rich;
10All pale snuff-takers are unpopular;
11All unpopular magistrates abstain from snuff;
12All talented poets, who are active, are rich.
The universe of discourse is persons . We will use the following dictionary:
Attribute symbolAttribute
aactive
bhealthy
cJews
dmagistrates
emen
hold
kpoets
lpopular
mrich
nrosy
rsarcastic
ssnuff-takers
tstudious
vtalented
So the symbolic form of the premisses is as follows:
Premiss. There are no persons that areSymbolic form of premiss
1. active, old, Jews, not healthy, ahcb'
2. not active, magistrates, popular, a'dl
3. healthy, rich, snuff-takers, mbs
4. not Jews, magistrates, sarcastic, rdc'
5. not old, snuff-takers, rosy, h'sn
6. old, not healthy, rich, not sarcastic, men, mb'her'
7. magistrates, not poets, not studious, dk't'
8. magistrates, rosy, not talented, ndv'
9. popular, not rich, studious, talented, vltm'
10. popular, snuff-takers, not rosy, n'sl
11. magistrates, not popular, snuff-takers, l'ds
12. active, not rich, poets, talented, vakm'
The registry is:
EntityAppears inComplement appears in
a1 12 2
b3 1 6
c1 4
d2 4 7 8 11
e6
h1 6 5
k12 7
l2 9 10 11
m3 6 9 12
n5 8 10
r4 6
s3 5 10 11
t9 7
v9 12 8
and the barred premises are as follows:
2 barred by1 12
3 barred by1 6
5 barred by1 6
8 barred by9 12
10 barred by5 8
11 barred by2 9 10
Solution to be tested is dse

This document was last updated 7 September 2020

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