Part 1. Which of the following arguments are valid? Explain your reasoning. (a) I have a student in my class who is getting an A. Therefore, John, a student in my class, is getting an A. (b) Every Girl Scout who sells at least 30 boxes of cookies will get a prize. Suzy, a Girl Scout, got a prize. Therefore, Suzy sold at least 30 boxes of cookies.

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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PROBLEM 2
Part 1. Which of the following arguments are valid? Explain your reasoning.
(a) I have a student in my class who is getting an A. Therefore, John, a student
in my class, is getting an A.
(b) Every Girl Scout who sells at least 30 boxes of cookies will get a prize.
Suzy, a Girl Scout, got a prize. Therefore, Suzy sold at least 30 boxes of
cookies.
Part 2. Determine whether each argument is valid. If the argument is valid, give
a proof using the laws of logic. If the argument is invalid, give values for the pred-
icates P and Q over the domain a, b that demonstrate the argument is invalid.
(a)
Er (P(x) ^ Q(x))
... Jar Q(x) A J P(x)
(b)
Vr (P(x) V Q(x))
.. Vx Q(x) V V P(x)
Transcribed Image Text:PROBLEM 2 Part 1. Which of the following arguments are valid? Explain your reasoning. (a) I have a student in my class who is getting an A. Therefore, John, a student in my class, is getting an A. (b) Every Girl Scout who sells at least 30 boxes of cookies will get a prize. Suzy, a Girl Scout, got a prize. Therefore, Suzy sold at least 30 boxes of cookies. Part 2. Determine whether each argument is valid. If the argument is valid, give a proof using the laws of logic. If the argument is invalid, give values for the pred- icates P and Q over the domain a, b that demonstrate the argument is invalid. (a) Er (P(x) ^ Q(x)) ... Jar Q(x) A J P(x) (b) Vr (P(x) V Q(x)) .. Vx Q(x) V V P(x)
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