Practice Tautology, Contradiction, and Contingency - 2.2.2 | 2. Logical Equivalence | 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 an example of a tautology?

💡 Hint: Think of a statement that covers all truth values.

Question 2

Easy

What is a contradiction?

💡 Hint: It cannot be true under any condition.

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 a tautology?

  • A proposition that is always false
  • A statement that can sometimes be true
  • A statement that is always true

💡 Hint: Consider its behavior in all possible scenarios.

Question 2

True or False: A contradiction is sometimes true.

  • True
  • False

💡 Hint: Think about a scenario where it always holds.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider the expression p ↔ (q ∨ r). Analyze its properties and classify it as tautology, contradiction, or contingency and justify your reasoning.

💡 Hint: Examine truth values for different conditions of p, q, and r.

Question 2

Demonstrate the truth of De Morgan's laws: ¬(p ∧ q) ≡ ¬p ∨ ¬q using a truth table and identify whether it's a tautology or a contradiction.

💡 Hint: Don’t forget to check all four combinations of truth values for p and q.

Challenge and get performance evaluation