Practice Modus Tollens - 4.1.4.2 | 4. Rules of Inference | Discrete Mathematics - Vol 1
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4.1.4.2 - Modus Tollens

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Write down the structure of Modus Tollens using letters.

💡 Hint: Remember the key components are a condition and the negation of the result.

Question 2

Easy

Identify the conclusion from the argument: 'If it’s sunny (P), then we can go outside (Q). It’s not possible to go outside (¬Q). What can we infer about it being sunny (P)?

💡 Hint: Consider what not being able to go outside implies about the weather.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

If P implies Q, and not Q is true, what can we conclude about P?

  • P is true
  • P is false
  • Q is true

💡 Hint: Think about what the negation of Q signifies regarding P.

Question 2

True or False: Modus Tollens allows for deriving conclusions from positive conditions.

  • True
  • False

💡 Hint: Focus on the structure of Modus Tollens.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a complex argument using Modus Tollens and illustrate its validation step-by-step.

💡 Hint: Draft the argument focusing on where the logic connects.

Question 2

Analyze and correct the fallacy: 'If the sun is shining (P), the car is warm (Q). The car is not warm (¬Q), therefore the sun is not shining (¬P).' Is this a valid conclusion?

💡 Hint: Consider external conditions that could impact the premises.

Challenge and get performance evaluation