Samantha writes the following as an example of using the Law of Syllogism. Explain Samantha's error. If an animal is a dog, then it is a mammal.
If an animal is a dog, then it has four legs.
I can conclude that if an animal has four
legs, then it is a mammal.
X Х
Choose the correct answer below.
A. The Law of Syllogism would lead to the conclusion that if an animal is a mammal, then it has four legs. Her conclusion is the converse of this, and a statement and
its converse do not necessarily have the same truth value.
B. She used the same hypothesis for both conditionals, so she cannot combine the two using the Law of Syllogism.
C. She used the same conclusion for both conditionals, so she cannot combine the two using the Law of Syllogism.
D. Her example uses the Law of Detachment, not the Law of Syllogism.