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Propositional Logic: Logical Arguments and Categorical Propositions

This quiz will test your knowledge of propositional logic, logical arguments, and categorical propositions.

15 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

Which of the following is a propositional logic connective?

  1. And
  2. Or
  3. Not
  4. All of the above
Question 2 Multiple Choice (Single Answer)

What is the truth value of the proposition "(P ∧ Q) → R" when P is true, Q is false, and R is true?

  1. True
  2. False
  3. Indeterminate
Question 3 Multiple Choice (Single Answer)

Which of the following is a categorical proposition?

  1. All men are mortal
  2. Socrates is a man
  3. The sky is blue
  4. None of the above
Question 4 Multiple Choice (Single Answer)

What is the subject term of the proposition "All dogs are mammals"?

  1. Dogs
  2. Mammals
  3. Animals
  4. None of the above
Question 5 Multiple Choice (Single Answer)

What is the predicate term of the proposition "No cats are fish"?

  1. Cats
  2. Fish
  3. Animals
  4. None of the above
Question 6 Multiple Choice (Single Answer)

Which of the following is a valid logical argument?

  1. All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
  2. All dogs are mammals. Cats are not dogs. Therefore, cats are not mammals.
  3. Some birds can fly. Penguins are birds. Therefore, penguins can fly.
  4. None of the above
Question 7 Multiple Choice (Single Answer)

Which of the following is a sound logical argument?

  1. All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
  2. All dogs are mammals. Cats are not dogs. Therefore, cats are not mammals.
  3. Some birds can fly. Penguins are birds. Therefore, penguins can fly.
  4. None of the above
Question 8 Multiple Choice (Single Answer)

Which of the following is a fallacy?

  1. Affirming the consequent
  2. Denying the antecedent
  3. Appeal to ignorance
  4. All of the above
Question 9 Multiple Choice (Single Answer)

What is the fallacy of affirming the consequent?

  1. Assuming that the conclusion of an argument is true because the premises are true
  2. Assuming that the antecedent of an argument is false because the conclusion is false
  3. Assuming that a proposition is true because it has not been proven false
  4. Assuming that a proposition is false because it has not been proven true
Question 10 Multiple Choice (Single Answer)

What is the fallacy of denying the antecedent?

  1. Assuming that the conclusion of an argument is true because the premises are true
  2. Assuming that the antecedent of an argument is false because the conclusion is false
  3. Assuming that a proposition is true because it has not been proven false
  4. Assuming that a proposition is false because it has not been proven true
Question 11 Multiple Choice (Single Answer)

What is the fallacy of appeal to ignorance?

  1. Assuming that the conclusion of an argument is true because the premises are true
  2. Assuming that the antecedent of an argument is false because the conclusion is false
  3. Assuming that a proposition is true because it has not been proven false
  4. Assuming that a proposition is false because it has not been proven true
Question 12 Multiple Choice (Single Answer)

What is the fallacy of assuming that a proposition is false because it has not been proven true?

  1. Affirming the consequent
  2. Denying the antecedent
  3. Appeal to ignorance
  4. All of the above
Question 13 Multiple Choice (Single Answer)

Which of the following is a syllogism?

  1. All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
  2. All dogs are mammals. Cats are not dogs. Therefore, cats are not mammals.
  3. Some birds can fly. Penguins are birds. Therefore, penguins can fly.
  4. None of the above
Question 14 Multiple Choice (Single Answer)

Which of the following is a categorical syllogism?

  1. All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
  2. All dogs are mammals. Cats are not dogs. Therefore, cats are not mammals.
  3. Some birds can fly. Penguins are birds. Therefore, penguins can fly.
  4. None of the above
Question 15 Multiple Choice (Single Answer)

Which of the following is a hypothetical syllogism?

  1. All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
  2. All dogs are mammals. Cats are not dogs. Therefore, cats are not mammals.
  3. Some birds can fly. Penguins are birds. Therefore, penguins can fly.
  4. None of the above
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