Practice - Rules of Inference for Quantified Statements
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Practice Questions
Test your understanding with targeted questions
Translate the statement: 'All dogs bark.'
💡 Hint: Remember the structure of universal statements.
What does Existential Instantiation allow you to do?
💡 Hint: Think about proving something for known cases.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does Universal Instantiation allow us to do?
💡 Hint: Think about how we can apply rules in logic.
True or False: Changing the order of quantifiers does not affect the meaning of statements.
💡 Hint: Recall examples we discussed to validate this.
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Challenge Problems
Push your limits with advanced challenges
Prove that for every even number n, n can be expressed as the sum of two prime numbers.
💡 Hint: Explore established conjectures on primes.
Using the rules discussed, prove the statement: ‘If any person is a teacher, they must have at least one student.’
💡 Hint: Dissect the statements carefully.
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Reference links
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