SOLUTION: MAT 145: Topics In Contemporary Math QUESTION 8 Translate the argument into symbols. Identify which argument for it uses. Determine if the argument is valid or invalid.

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Question 1190423: MAT 145: Topics In Contemporary Math
QUESTION 8
Translate the argument into symbols. Identify which argument for it uses. Determine if the argument is valid or invalid.
If you laugh, then you love.
You do not laugh.
Therefore, you do not love.
Conclusion: p
Found 2 solutions by Alan3354, math_tutor2020:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
MAT 145: Topics In Contemporary Math
QUESTION 8
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Irrelevant.

Answer by math_tutor2020(3816) (Show Source):
You can put this solution on YOUR website!

T = true
F = false

P = You laugh
Q = You love

~P = you do not laugh
~Q = you do not love

Premise 1: P -> Q
Premise 2: ~P
Conclusion: ~Q

Truth table

Premise 1 Premise 2 Conclusion
P Q P -> Q ~P ~Q
T T T F F
T F F F T
F T T T F
T F T T T

The row marked in red has all true premises, but they lead to a false conclusion.

Therefore, the argument is invalid.