Practice Rules of Inference - 4.1.4 | 4. Rules of Inference | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a valid argument?

💡 Hint: Think about the logical connection between premises and conclusion.

Question 2

Easy

List one rule of inference.

💡 Hint: Which rule tells us about affirming the conclusion?

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

What does Modus Ponens allow us to conclude?

  • p → q
  • q
  • ¬p

💡 Hint: Look for the conclusion drawn from true premises.

Question 2

True or False: If p → q and ¬q, then it can be concluded that ¬p.

  • True
  • False

💡 Hint: Think about which statements are negated.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using both Modus Ponens and Modus Tollens, construct a reasoning chain where one leads to the other, ensuring all steps are logically valid.

💡 Hint: Make sure to track your premises closely.

Question 2

Analyze the following argument for fallacies: 'If I eat ice cream (p), then I will be happy (q). I am happy (q); therefore, I ate ice cream (p)'. Identify any fallacies and correct the argument.

💡 Hint: Consider alternate sources for the conclusion's truth.

Challenge and get performance evaluation