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4 cards from this section. Quick, good the night before a test.
Define a countable set.
Consider both finite and infinite aspects.
What is the Cartesian product of two sets?
Think about ordered pairs.
What defines a countable set?
Consider the definition of cardinality.
Is the set of rational numbers countable?
Think about their listing method.
Demonstrate how to enumerate a new countably infinite set and prove its countability.
Use simple rules to define the mapping.
Explain the implications of the Schröder-Bernstein theorem with an example.
Consider overlaps and combinations.
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