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3 cards from this section. Quick, good the night before a test.
What is the cardinality of the set {A, B, C}?
Count the number of elements in the set.
Is the set of even numbers countable?
Think about how we can list the even numbers.
What is a bijection?
Think about the characteristics that define a bijection.
Is the set of integers countable?
Consider the way integers can be sequenced.
Prove that the set of all even integers is countable by constructing a bijection.
Use the definition of bijection you have learned.
Determine whether the set of all subsets of natural numbers is countable or uncountable.
Think about the implications of matching elements to subsets.
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