Unformatted text preview: example)
State which rule of inference is applied in the following
argument.
You are clever and lucky.
Therefore, you are clever.
Solution:
Determine individual propositions
p: you are clever.
q: you are lucky.
Determine the argument using p and q
pq
p q.
p
Therefore, p.
12 Rules of inference
Argument:
If I go swimming, then I will stay in the
sun too long.
If I stay in the sun too long, then I will
sunburn.
Therefore,
if I go swimming, then I will sunburn.
p
q.
q
r.
Therefore, p p
q
r. q
r
p (p q)
r (q premises
true conclusion
true
r) (p r) Tautology
13 Rules of inference (example)
State which rule of inference is applied in the following argument.
If today is sunny, then she goes shopping.
If she goes shopping, then she spends money.
Therefore, if today is sunny, then she spends money.
Solution:
Determine individual propositions
p: today is sunny.
q: she goes shopping.
r: she spends money.
Determine the argument using p and q
p
q
p
q.
q
r
q
r.
Therefore, p
r.
p
r
14 Rules of inference
Argument:
If it is su...
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 Summer '09
 Shafiei
 Computer Science, Logic, Ali, Personal computer

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