Lewis Carroll Logic Problems - PE33
The original problem has 8 premisses and 8 attributes
NumberPremiss
1Directors are ex-officio members of the Committee;
2Bond-holders are eligible;
3All others are ineligible;
4All elderly Bond-holders, who are not Directors, are lame;
5All short-sighted members of the Committee live in town;
6All eligible Share-holders, who are lame, are young;
7All Share-holders living out of town, who are not Bond-holders, are members of the Committee;
8All elderly Directors are short-sighted.
The universe of discourse is shareholders . We will use the following dictionary:
Attribute symbolAttribute
abond-holders
bdirectors
celderly
deligible
elame
hliving in town
kmembers of the Committee
lshort-sighted
So the symbolic form of the premisses is as follows:
Premiss. There are no shareholders that areSymbolic form of premiss
1. directors, not members of the Committee, bk'
2. bond-holders, not eligible, ad'
3. not directors, eligible, b'd
4. not directors, bond-holders, elderly, not lame, cab'e'
5. members of the Committee, short-sighted, not living in town, lkh'
6. eligible, elderly, lame, dec
7. not members of the Committee, not bond-holders, not living in town, h'a'k'
8. directors, elderly, not short-sighted, cbl'
The registry is:
EntityAppears inComplement appears in
a2 4 7
b1 8 3 4
c4 6 8
d3 6 2
e6 4
h5 7
k5 1 7
l5 8
and the barred premises are as follows:
2 barred by3 6
5 barred by1 7
7 barred by2 4
Solution to be tested is ch'

This document was last updated 7 September 2020

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