Practice Rules Of Inference (4.1.4) - Rules of Inference - Discrete Mathematics - Vol 1
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Rules of Inference

Practice - Rules of Inference - 4.1.4

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a valid argument?

💡 Hint: Think about the logical connection between premises and conclusion.

Question 2 Easy

List one rule of inference.

💡 Hint: Which rule tells us about affirming the conclusion?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Modus Ponens allow us to conclude?

p → q
q
¬p

💡 Hint: Look for the conclusion drawn from true premises.

Question 2

True or False: If p → q and ¬q, then it can be concluded that ¬p.

True
False

💡 Hint: Think about which statements are negated.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using both Modus Ponens and Modus Tollens, construct a reasoning chain where one leads to the other, ensuring all steps are logically valid.

💡 Hint: Make sure to track your premises closely.

Challenge 2 Hard

Analyze the following argument for fallacies: 'If I eat ice cream (p), then I will be happy (q). I am happy (q); therefore, I ate ice cream (p)'. Identify any fallacies and correct the argument.

💡 Hint: Consider alternate sources for the conclusion's truth.

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Reference links

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