- Discrete Structures in Comp State if the following arguments are valid or inva
ID: 3881925 • Letter: #
Question
- Discrete Structures in Comp
State if the following arguments are valid or invalid.
a)
All students in this class like sleeping late. Andrea is a student in this class. Therefore, Andrea likes sleeping late.
b)
Every Scottish Studies student studies Gaelic. Roger studies Gaelic. Therefore, Roger is a Scottish Studies student.
c)
Everyone who reads loves reading. Rich does not love reading. Therefore, Rich does not read.
d)
If you take Discrete Math, you will major in Computer Science. You didn’t take Discrete Math. Therefore, you will not major inComputer Science
Explanation / Answer
a)
All the Student in the class like sleeping late , and if Andres is a student of same class then we can infer that Andres like sleeping late.
it is xP (x), P (c) Universal instantiation.
b)((p q) (q r)) (p r) argument is ‘Hypothetical syllogism’.
p - Every Scottish Studies
q - student studies Gaelic.
r -> Roger studies Gaelic
d)
If N and M -> N are two premises, we can use Modus Ponens to derive M.
(¬N (M N)) ¬M is Modus tollens.
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