Lewis Carroll Logic Problems - PE29
The original problem has 11 premisses and 14 attributes
NumberPremiss
1All prize-fighters are active
2Burglars, when taken up, are sent to prison
3All old Jews are poor
4No prize-fighter, who is admired, is unpopular
5Paupers, when sent to prison, cease to be violent
6Ugly old people get taken up
7No one, who is awkward and violent, can be anything but a burglar
8No young detectives are ugly
9An active Gentile is always admired
10No awkward prize-fighter is beautiful
11No violent detective is popular
The universe of discourse is men . We will use the following dictionary:
Attribute symbolAttribute
aactive
badmired
cawkward
dbeautiful
eburglars
hdetectives
kJews
lold
mpoor
npopular
rprize-fighters
ssent to prison
ttaken up
uviolent
So the symbolic form of the premisses is as follows:
Premiss. There are no men that areSymbolic form of premiss
1. not active, prize-fighters, a'r
2. burglars, taken up, not sent to prison, ets'
3. Jews, old, not poor, klm'
4. prize-fighters, admired, not popular, rbn'
5. sent to prison, poor, violent, msu
6. not taken up, old, not beautiful, d'lt'
7. not burglars, violent, awkward, cue'
8. not old, not beautiful, detectives, l'hd'
9. active, not Jews, not admired, ak'b'
10. prize-fighters, beautiful, awkward, crd
11. popular, violent, detectives, uhn
The registry is:
EntityAppears inComplement appears in
a9 1
b4 9
c7 10
d10 6 8
e2 7
h8 11
k3 9
l3 6 8
m5 3
n11 4
r1 4 10
s5 2
t2 6
u5 7 11
and the barred premises are as follows:
8 barred by3 6
10 barred by6 8
Solution to be tested is ruch

This document was last updated 7 September 2020

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