Practice Summary (4.2) - Rules of Inference - Discrete Mathematics - Vol 1
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Practice - Summary

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a premise in propositional logic?

💡 Hint: It comes before the conclusion.

Question 2 Easy

Define Modus Ponens in your own words.

💡 Hint: Think 'If this happens, then that happens.'

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

If you know p → q and p is true, what can you conclude?

p is false
q is true
p is true

💡 Hint: It's a direct result of the rule.

Question 2

True or False: Modus Tollens states if p and ¬q, then you can conclude ¬p.

True
False

💡 Hint: Revisit the definition of the rule.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a logical argument using at least three premises and illustrate its validity using both Modus Ponens and Modus Tollens.

💡 Hint: Build step by step, ensuring each premise connects logically.

Challenge 2 Hard

Draft an argument containing a logical fallacy and explain why it fails.

💡 Hint: Identify an alternate scenario where your conclusion could still be untrue.

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Reference links

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