Determine whether the argument is valid or invalid by comparing it to known valid argument forms or fallacies. Justify your answer. 7) If I hear that poem, it reminds me of my mother. If I get sentimental, then it does not remind me of my mother. I get sentimental. Therefore, I don't hear that poem. A) Valid B) Invalid

Determine whether the argument is valid or invalid by comparing it to known valid argument forms or fallacies. Justify your answer. 7) If I hear that poem, it reminds me of my mother. If I get sentimental, then it does not remind me of my mother. I get sentimental. Therefore, I don't hear that poem. A) Valid B) Invalid

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Determine whether the argument is valid or invalid by comparing it to known valid argument forms or fallacies. Justify
your answer.
7) If I hear that poem, it reminds me of my mother. If I get sentimental, then it does not remind me of my mother. I
get sentimental. Therefore, I don't hear that poem.
A) Valid
B) Invalid

Expert Solution

Step 1

Let's break this arguments in the following statements:

P(x): I hear that poem

Q(x) : Reminds me of my mother

R(x) : I get sentimental

So now argument becomes P(x) $\Rightarrow$ Q(x)

R(x) $\Rightarrow$ $\neg$ Q(x) which can also be written as Q(x) $\Rightarrow$ $\neg$ R(x) { if we apply negation both sides}

therefore by hypothesis, P(x) $\Rightarrow$ $\neg$ R(x) which can also be written as R(x) $\Rightarrow$ $\neg$ P(x) { if we apply negation both sides}

which means i get sentimental . therefore i don't hear that poem