Practice Tautology, Contradiction, And Contingency (2.2.2)

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6 sample questions

Question 1.
What is an example of a tautology?
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Think of a statement that covers all truth values.
Question 2.
What is a contradiction?
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It cannot be true under any condition.
3Question 3.
What is a tautology?
- A proposition that is always false
- A statement that can sometimes be true
- A statement that is always true
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Consider its behavior in all possible scenarios.
4Question 4.
True or False: A contradiction is sometimes true.
- True
- False
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Think about a scenario where it always holds.
Question 5.
Consider the expression p ↔ (q ∨ r). Analyze its properties and classify it as tautology, contradiction, or contingency and justify your reasoning.
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Examine truth values for different conditions of p, q, and r.
Question 6.
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.
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Don’t forget to check all four combinations of truth values for p and q.

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