Practice Simplification Law - 4.1.4.6 | 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 defines a valid argument?

💡 Hint: Think about implications between premises and conclusions.

Question 2

Easy

What role do rules of inference play?

💡 Hint: Look for patterns in the argument structure to apply.

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 is the structure of Modus Ponens?

  • If p and q
  • then q
  • If p
  • then q; p is true
  • therefore q
  • If ¬p
  • then q

💡 Hint: Remember the idea of confirming the conclusion based on premises.

Question 2

True or False: Denying the antecedent is a valid form of argument.

  • True
  • False

💡 Hint: Think about how premises relate to each other logically.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the premises: 'If I sleep early, I will feel rested,' and 'I feel rested,' what conclusion can be drawn? Identify any fallacies.

💡 Hint: Review how affirming consequent simplifies premises in deduction.

Question 2

Construct an argument with three premises and prove it valid using rules of inference.

💡 Hint: Use a variety of rules like Modus Ponens, Modus Tollens, and be careful with each step!

Challenge and get performance evaluation