I have to determine whether the statement below is valid or not:
A convertible car is fun to drive. Isaac's car is not a convertible. Therefore, Isaac's car is not fun to drive.
My answer is that according to modus tollens this statement is valid. Is this right?
p -> q
~q
-------
~p
i would not interpret it as an if and only if, id sa its (P->Q) ->(~P->~Q) which is not a valid statement. And if you think about it intuitively, just because a car isnt a convertibe does not mean it cant be fun to drive, it would be valid to say if its not fun to drive then its not a convertible, which is contraposition
sorry for the typo! thanks
and I have one more question that I am not sure of,
Quincy likes all action movies. Quincy likes the movie Eight Men Out. Therefore, Eight Men Out is an action movie.
This statement is not valid right? It's some kind of fallacy affirming the conclusion.
that was the problem i had with the statement. there could be other types of cars that are fun to drive as well, and Isaac's car could be one of those.
i used if and only if because the statements are equivalent, not because i was interpreting the question like that i should have said maybe,
First my I suggest that you use letters that have something to do with the statements. C is convertible; F is fund to drive.
Now the argument is:
Clearly that is an invalid argument.
The is the fallacy of denying the hypotheses.
May I also suggest that if we are not sure of the question, please wait to answer.
Hello, TheRekz!
\Determine whether the argument below is valid or not:
A convertible car is fun to drive.
Isaac's car is not a convertible.
Therefore, Isaac's car is not fun to drive.
My answer is that according to modus tollens this statement is valid. Is this right?
p -> q
~q
-------
~p
. . . sorry, no
Let
Let
"A convertible car is fun to drive"
. . If the car is a convertible, then the car is fun to drive": .
"Isaac's car is not a convertible": .
Therefore, "Isaac's car is not fun to drive": .
The arguement has the form: .
Not valid . . . fallacy of the inverse.