Practice - Rules of Inferences in Predicate Logic - 9.2.3
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Practice Questions
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What does universal quantification state?
💡 Hint: Think about the phrase 'for all x'.
Define a predicate.
💡 Hint: What does it return based on input?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What symbol is used for universal quantification?
💡 Hint: This symbol starts with 'A' for 'all'.
True or False: The statement 'Every student is raised by a student' is logically tautologous.
💡 Hint: Consider the implications.
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Challenge Problems
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Prove or disprove the statement: 'For all natural numbers n, if n is even, then n² is even.'
💡 Hint: Think of examples of even numbers.
Express the negation of the statement 'Some cats are black' in logical terms.
💡 Hint: Focus on how negation interacts with quantifiers.
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