Practice - Tautology, Contradiction, and Contingency
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Practice Questions
Test your understanding with targeted questions
What is an example of a tautology?
💡 Hint: Think of a statement that covers all truth values.
What is a contradiction?
💡 Hint: It cannot be true under any condition.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a tautology?
💡 Hint: Consider its behavior in all possible scenarios.
True or False: A contradiction is sometimes true.
💡 Hint: Think about a scenario where it always holds.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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