Valid and Invalid Argument Forms

The ______ is a valid argument form.

Which of the following is the correct form of Affirming the Antecedent?

Which of the following is the correct form of Denying the Consequent?

Which of the following is the correct form of Hypothetical Syllogism?

Which of the following is the correct form of Disjunctive Syllogism?

Which of the following is the correct form of Affirming the Consequent?

Which of the following is the correct form of Denying the Antecedent?

Valid Argument Forms

Affirming the Antecedent (Modus Ponens):
- If p, then q.
- p.
- Therefore, q.
- Example: If Raven barks, a burglar is in the house. Raven is barking. Therefore, a burglar is in the house.
Denying the Consequent (Modus Tollens):
- If p, then q.
- Not q.
- Therefore, not p.
- Example: If it's raining, the park is closed. The park is not closed. Therefore, it's not raining.
Hypothetical Syllogism:
- If p, then q.
- If q, then r.
- Therefore, if p, then r.
- Example: If Ajax steals the money, he will go to jail. If Ajax goes to jail, his family will suffer. Therefore, if Ajax steals the money, his family will suffer.
Disjunctive Syllogism:
- Either p or q.
- Not p.
- Therefore, q.
- Example: Either Zein walked the dog, or he stayed home. He didn't walk the dog. Therefore, he stayed home.

Invalid Argument Forms

Affirming the Consequent:
- If p, then q.
- q.
- Therefore, p.
- Example: If the cat is on the mat, she is asleep. She is asleep. Therefore, she is on the mat.
- Note: This is an invalid form of reasoning.
Denying the Antecedent:
- If p, then q.
- Not p.
- Therefore, not q.
- Example: If the cat is on the mat, she is asleep. She is not on the mat. Therefore, she is not asleep.
- Note: This is an invalid form of reasoning.

This quiz explores valid and invalid argument forms, crucial for understanding logical reasoning. Students will encounter examples of Modus Ponens, Modus Tollens, Hypothetical Syllogism, and more. Test your ability to recognize and apply these logical structures effectively.