Practice Tautologies, Contradictions, And Contingencies (8.5) - Mathematical Reasoning
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Tautologies, Contradictions, and Contingencies

Practice - Tautologies, Contradictions, and Contingencies

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a tautology?

💡 Hint: Think of statements that cannot be false.

Question 2 Easy

What does a contradiction mean?

💡 Hint: Reflect on statements that oppose each other.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a tautology?

A statement that is always false
A statement that is sometimes true
A statement that is always true

💡 Hint: Look for a definition that confirms 'always'.

Question 2

True or False: A contradiction is always true.

True
False

💡 Hint: Reflect on what contradiction means.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that 'P ∨ ¬P' is a tautology using a truth table.

💡 Hint: Fill in for P being true and false systematically.

Challenge 2 Hard

Show that 'P → (Q ∨ R)' can be false by providing a specific situation.

💡 Hint: Consider scenarios where implications can fail.

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Reference links

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