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2 cards from this section. Quick, good the night before a test.
Define what a predicate is in your own words.
Think about how predicates express properties like being a student or being a math major.
What does the existential quantifier symbolize?
Remember it corresponds to 'some' in everyday language.
What is a predicate in logic?
Think of predicates defining properties, such as 'is a student'.
True or False: A counterexample can invalidate a general statement.
Consider the role of counterexamples in proving statements wrong.
You have a group of students where 5 are math majors, and 3 are seniors. Is it possible to conclude any statement about their intersection using predicates? Create a relevant logical expression.
Focus on how you can relate the two groups in a logical expression.
Construct a proof showing that if a student is not a senior, they cannot graduate. Use predicates and quantifiers to represent your logic.
Pay close attention to the contrapositive of the statement.
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