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4 cards from this section. Quick, good the night before a test.
What is the cardinality of the set {A, B, C}?
Count the elements in the set.
Is the set of all even numbers countable or uncountable?
Can you list the even numbers in a sequence?
Which symbol denotes the cardinality of countably infinite sets?
Think about what symbol we learned for countably infinite sets.
True or False: The set of all integers is uncountable.
Remember how we can list integers in a sequence.
Consider the set of all rational numbers. Determine if it is countably infinite and provide a proof.
Try constructing a diagonal argument to illustrate the listing of rationals.
What can you infer about the power set of a countably infinite set? Is it countable or uncountable?
Reflect on how many subsets a set has and consider Cantor's argument.
5 more questions in this section. Enroll free to practise them all.
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