Question

Is this a valid argument?

Given: If I drive over 60 miles an hour, then I am breaking the law.

If I am breaking the law, then I could go to jail.

Conclusion: If I drive over 60 miles an hour, then I could go to jail.

1. No. This is an improper use of the Law of Syllogism
2. No. This is an improper use of the Law of Detachment.
3. Yes. This argument uses the Law of Detachment.
4. Yes. This argument uses the Law of Syllogism.

Answer 1

4. Yes. This argument uses the Law of Syllogism.

Explanation:

Law of Syllogism:

Statement 1: If p, then q.

Statement 2: If q, then r.

Statement 3: If p, then r.

p = "If I drive over 60 miles an hour"

q = "I am breaking the law"

r = "I could go to jail"