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3 cards from this section. Quick, good the night before a test.
Define a predicate function based on the statement 'x is an even number'.
Think about how you would express the property of being even.
What does the notation ∀x P(x) signify?
Recall our discussion on universal quantification.
What does '∀x P(x)' indicate in predicate logic?
Remember the meaning of ∀.
True or False: An existential quantifier asserts something is true for every element in a domain.
Think about how many elements need to meet the property.
Prove that if ∀x P(x) is true, then ∃x P(x) cannot be false.
Consider the implications of universal truth
Construct a pair of predicates where logical equivalence does not hold in a specified domain.
Check the outcomes across different numbers.
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