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Propositional Logic: Logical Arguments and Inductive Validity

This quiz covers the basics of propositional logic, including logical arguments and inductive validity.

12 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

Which of the following is a valid logical argument?

  1. If it is raining, then the ground is wet. It is raining. Therefore, the ground is wet.
  2. If it is raining, then the ground is wet. The ground is not wet. Therefore, it is not raining.
  3. If it is raining, then the ground is wet. It is not raining. Therefore, the ground is not wet.
  4. If it is raining, then the ground is wet. It is raining and the ground is wet. Therefore, the argument is valid.
Question 2 Multiple Choice (Single Answer)

Which of the following is an example of an inductive argument?

  1. All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
  2. The sun has risen every day for the past 10,000 years. Therefore, the sun will rise tomorrow.
  3. I have seen a black swan. Therefore, all swans are black.
  4. The grass is green. The sky is blue. Therefore, the world is a beautiful place.
Question 3 Multiple Choice (Single Answer)

Which of the following is a fallacy?

  1. Affirming the consequent
  2. Denying the antecedent
  3. Modus ponens
  4. Modus tollens
Question 4 Multiple Choice (Single Answer)

Which of the following is a valid logical argument?

  1. If it is raining, then the ground is wet. It is raining. Therefore, the ground is wet.
  2. If it is raining, then the ground is wet. The ground is not wet. Therefore, it is not raining.
  3. If it is raining, then the ground is wet. It is not raining. Therefore, the ground is not wet.
  4. If it is raining, then the ground is wet. It is raining and the ground is wet. Therefore, the argument is valid.
Question 5 Multiple Choice (Single Answer)

Which of the following is an example of an inductive argument?

  1. All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
  2. The sun has risen every day for the past 10,000 years. Therefore, the sun will rise tomorrow.
  3. I have seen a black swan. Therefore, all swans are black.
  4. The grass is green. The sky is blue. Therefore, the world is a beautiful place.
Question 6 Multiple Choice (Single Answer)

Which of the following is a fallacy?

  1. Affirming the consequent
  2. Denying the antecedent
  3. Modus ponens
  4. Modus tollens
Question 7 Multiple Choice (Single Answer)

Which of the following is a valid logical argument?

  1. If it is raining, then the ground is wet. It is raining. Therefore, the ground is wet.
  2. If it is raining, then the ground is wet. The ground is not wet. Therefore, it is not raining.
  3. If it is raining, then the ground is wet. It is not raining. Therefore, the ground is not wet.
  4. If it is raining, then the ground is wet. It is raining and the ground is wet. Therefore, the argument is valid.
Question 8 Multiple Choice (Single Answer)

Which of the following is an example of an inductive argument?

  1. All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
  2. The sun has risen every day for the past 10,000 years. Therefore, the sun will rise tomorrow.
  3. I have seen a black swan. Therefore, all swans are black.
  4. The grass is green. The sky is blue. Therefore, the world is a beautiful place.
Question 9 Multiple Choice (Single Answer)

Which of the following is a fallacy?

  1. Affirming the consequent
  2. Denying the antecedent
  3. Modus ponens
  4. Modus tollens
Question 10 Multiple Choice (Single Answer)

Which of the following is a valid logical argument?

  1. If it is raining, then the ground is wet. It is raining. Therefore, the ground is wet.
  2. If it is raining, then the ground is wet. The ground is not wet. Therefore, it is not raining.
  3. If it is raining, then the ground is wet. It is not raining. Therefore, the ground is not wet.
  4. If it is raining, then the ground is wet. It is raining and the ground is wet. Therefore, the argument is valid.
Question 11 Multiple Choice (Single Answer)

Which of the following is an example of an inductive argument?

  1. All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
  2. The sun has risen every day for the past 10,000 years. Therefore, the sun will rise tomorrow.
  3. I have seen a black swan. Therefore, all swans are black.
  4. The grass is green. The sky is blue. Therefore, the world is a beautiful place.
Question 12 Multiple Choice (Single Answer)

Which of the following is a fallacy?

  1. Affirming the consequent
  2. Denying the antecedent
  3. Modus ponens
  4. Modus tollens
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