Question

Determine whether statement (3) follows from statements (1) and (2) by the Law of Detachment or the Law of Syllogism. If it does, state which law was used. If it does not, write invalid. (1) She is a girl. (2) Her name is Chris. (3) Chris is a girl's name.

Answer 1

The answer is invalid.

Explanation:

This is invalid.

(1) She is a girl.

(2) Her name is Chris.

(3) Chris is a girl's name.

The Law of Syllogism states, “If p→q and q→r are true, then p→ r is also true.

The Law of Detachment states, “If p→q is true and p is true, then q is also true.”

Hence, this is invalid.