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Deductive Arguments and Validity

This quiz covers the topic of Deductive Arguments and Validity in Logic.

15 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

Which of the following is an example of a deductively valid argument?

  1. All dogs are mammals. Some mammals are cats. Therefore, some cats are dogs.
  2. All dogs are mammals. All mammals are animals. Therefore, all dogs are animals.
  3. Some dogs are black. All black things are evil. Therefore, some dogs are evil.
  4. All cats are furry. Some furry things are dogs. Therefore, some dogs are cats.
Question 2 Multiple Choice (Single Answer)

Which of the following is an example of a deductively invalid argument?

  1. All dogs are mammals. Some mammals are cats. Therefore, some cats are dogs.
  2. All dogs are mammals. All mammals are animals. Therefore, all dogs are animals.
  3. Some dogs are black. All black things are evil. Therefore, some dogs are evil.
  4. All cats are furry. Some furry things are dogs. Therefore, some dogs are cats.
Question 3 Multiple Choice (Single Answer)

Which of the following is a necessary condition for a deductive argument to be valid?

  1. The premises must be true.
  2. The conclusion must be true.
  3. The premises must be relevant to the conclusion.
  4. The argument must be in a standard logical form.
Question 4 Multiple Choice (Single Answer)

Which of the following is a sufficient condition for a deductive argument to be valid?

  1. The premises must be true.
  2. The conclusion must be true.
  3. The premises must be relevant to the conclusion.
  4. The argument must be in a standard logical form.
Question 5 Multiple Choice (Single Answer)

What is the difference between a deductive argument and an inductive argument?

  1. Deductive arguments are based on evidence, while inductive arguments are based on logic.
  2. Deductive arguments are always valid, while inductive arguments are sometimes valid.
  3. Deductive arguments are about the past, while inductive arguments are about the future.
  4. Deductive arguments are used to prove something, while inductive arguments are used to explain something.
Question 6 Multiple Choice (Single Answer)

Which of the following is an example of a deductive argument?

  1. All dogs are mammals. Some mammals are cats. Therefore, some cats are dogs.
  2. All dogs are mammals. All mammals are animals. Therefore, all dogs are animals.
  3. Some dogs are black. All black things are evil. Therefore, some dogs are evil.
  4. All cats are furry. Some furry things are dogs. Therefore, some dogs are cats.
Question 7 Multiple Choice (Single Answer)

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

  1. All dogs are mammals. Some mammals are cats. Therefore, some cats are dogs.
  2. All dogs are mammals. All mammals are animals. Therefore, all dogs are animals.
  3. Some dogs are black. All black things are evil. Therefore, some dogs are evil.
  4. All cats are furry. Some furry things are dogs. Therefore, some dogs are cats.
Question 8 Multiple Choice (Single Answer)

Which of the following is a necessary condition for a deductive argument to be sound?

  1. The premises must be true.
  2. The conclusion must be true.
  3. The premises must be relevant to the conclusion.
  4. The argument must be in a standard logical form.
Question 9 Multiple Choice (Single Answer)

Which of the following is a sufficient condition for a deductive argument to be sound?

  1. The premises must be true.
  2. The conclusion must be true.
  3. The premises must be relevant to the conclusion.
  4. The argument must be in a standard logical form.
Question 10 Multiple Choice (Single Answer)

What is the difference between a deductive fallacy and a deductive argument?

  1. A deductive fallacy is an argument that is always valid, while a deductive argument is sometimes valid.
  2. A deductive fallacy is an argument that is based on evidence, while a deductive argument is based on logic.
  3. A deductive fallacy is an argument that has true premises, while a deductive argument has false premises.
  4. A deductive fallacy is an argument that is in a standard logical form, while a deductive argument is not in a standard logical form.
Question 11 Multiple Choice (Single Answer)

Which of the following is an example of a deductive fallacy?

  1. All dogs are mammals. Some mammals are cats. Therefore, some cats are dogs.
  2. All dogs are mammals. All mammals are animals. Therefore, all dogs are animals.
  3. Some dogs are black. All black things are evil. Therefore, some dogs are evil.
  4. All cats are furry. Some furry things are dogs. Therefore, some dogs are cats.
Question 12 Multiple Choice (Single Answer)

Which of the following is an example of a deductive argument?

  1. All dogs are mammals. Some mammals are cats. Therefore, some cats are dogs.
  2. All dogs are mammals. All mammals are animals. Therefore, all dogs are animals.
  3. Some dogs are black. All black things are evil. Therefore, some dogs are evil.
  4. All cats are furry. Some furry things are dogs. Therefore, some dogs are cats.
Question 13 Multiple Choice (Single Answer)

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

  1. All dogs are mammals. Some mammals are cats. Therefore, some cats are dogs.
  2. All dogs are mammals. All mammals are animals. Therefore, all dogs are animals.
  3. Some dogs are black. All black things are evil. Therefore, some dogs are evil.
  4. All cats are furry. Some furry things are dogs. Therefore, some dogs are cats.
Question 14 Multiple Choice (Single Answer)

Which of the following is a necessary condition for a deductive argument to be sound?

  1. The premises must be true.
  2. The conclusion must be true.
  3. The premises must be relevant to the conclusion.
  4. The argument must be in a standard logical form.
Question 15 Multiple Choice (Single Answer)

Which of the following is a sufficient condition for a deductive argument to be sound?

  1. The premises must be true.
  2. The conclusion must be true.
  3. The premises must be relevant to the conclusion.
  4. The argument must be in a standard logical form.
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