Practice Modus Ponens (4.1.4.1) - Rules of Inference - Discrete Mathematics - Vol 1
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Modus Ponens

Practice - Modus Ponens

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does Modus Ponens state?

💡 Hint: Think about conditional statements.

Question 2 Easy

True or False: Modus Ponens can be used with false antecedents.

💡 Hint: What happens if p is false?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following is an example of Modus Ponens?

If it is sunny
then we go outside. It is sunny; therefore we go outside.
If p
then q. Not p; therefore
not q.
If p
then q. q; therefore
p.

💡 Hint: Look for the 'if...then' format.

Question 2

True or False: The argument form 'If it snows, then roads are slippery. Roads are slippery; thus it must be snowing.' is valid.

True
False

💡 Hint: Consider if it could be slippery for another reason.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using the premises: 'If the light is on (p), then the room is bright (q).' and 'The light is on (p)', how would you conclude whether the room is bright (q)?

💡 Hint: Check the logical connection between p and q.

Challenge 2 Hard

Analyze the statement: 'If you do not eat (p), then you will be hungry (q). You are not hungry (¬q); does it follow that you ate (¬p)? Refute this reasoning.

💡 Hint: Think about alternative reasons for ¬q.

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Reference links

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