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

Practice: Modus Ponens

Lesson 4.1.4.1Rules of Inference

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8 questions

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6 sample questions

Question 1.
What does Modus Ponens state?
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Think about conditional statements.
Question 2.
True or False: Modus Ponens can be used with false antecedents.
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What happens if p is false?
3Question 3.
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.
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Look for the 'if...then' format.
4Question 4.
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
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Consider if it could be slippery for another reason.
Question 5.
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)?
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Check the logical connection between p and q.
Question 6.
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.
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Think about alternative reasons for ¬q.

4 more questions in this section. Enroll free to practise them all.