Which statement about the following argument is true? If an animal is a koala, then it is a marsupial. If an animal is a marsupial, then it carries its young in a pouch. Therefore, if an animal is a koala, then it carries its young in a pouch.
A. The argument is valid by the Law of Syllogism.
B. The argument is valid by the Law of Detachment.
C. The argument is invalid.
D. The argument is valid but does not follow the Law of Syllogism or the Law of Detachment.
A. The argument is valid by the Law of Syllogism.
B. The argument is valid by the Law of Detachment.
C. The argument is invalid.
D. The argument is valid but does not follow the Law of Syllogism or the Law of Detachment.
1 Answer
A. The argument is valid by the Law of Syllogism
Explanation:
The law of syllogism is a form of deductive reasoning which allows us to directly relate propositions connected by an intermediate proposition.
The general form is that if
then we can deduce that
In this case, let
From the question, we are given:
"If an animal is a koala, then it is a marsupial."
i.e. If
i.e.
"If an animal is a marsupial, then it carries its young in a pouch."
i.e. If
i.e.
Applying the law of syllogism, we are able to deduce that
i.e. If
i.e. If an animal is a koala, then it carries its young in a pouch.
This matches the final statement of the question.
