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2 cards from this section. Quick, good the night before a test.
What is a predicate? Provide an example.
Think about how the truth of the statement changes with different values of n.
Explain what a counterexample is.
Consider how one instance can contradict an entire statement.
What defines a predicate in logic?
Consider what a statement needs to evaluate to be true.
True or False: A single counterexample can invalidate a universal claim.
Think about how one instance can affect the whole.
Construct a compound predicate involving both universal and existential quantification, then illustrate its truth with examples.
Start with easy numbers and build up to see both predicates interact.
Using a counterexample, prove how one proposition can invalidate a universal claim about odd numbers.
Identify odd numbers that break the rule!
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