Practice Simplification Law (4.1.4.6) - Rules of Inference - Discrete Mathematics - Vol 1
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Simplification Law

Practice - Simplification Law

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What defines a valid argument?

💡 Hint: Think about implications between premises and conclusions.

Question 2 Easy

What role do rules of inference play?

💡 Hint: Look for patterns in the argument structure to apply.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the structure of Modus Ponens?

If p and q
then q
If p
then q; p is true
therefore q
If ¬p
then q

💡 Hint: Remember the idea of confirming the conclusion based on premises.

Question 2

True or False: Denying the antecedent is a valid form of argument.

True
False

💡 Hint: Think about how premises relate to each other logically.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the premises: 'If I sleep early, I will feel rested,' and 'I feel rested,' what conclusion can be drawn? Identify any fallacies.

💡 Hint: Review how affirming consequent simplifies premises in deduction.

Challenge 2 Hard

Construct an argument with three premises and prove it valid using rules of inference.

💡 Hint: Use a variety of rules like Modus Ponens, Modus Tollens, and be careful with each step!

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Reference links

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