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3 cards from this section. Quick, good the night before a test.
What defines a countably infinite set?
Think about listing or counting.
Give an example of a countably infinite set.
Consider sets that don't stop growing.
Which of the following sets is countably infinite?
Think about how you'd list each member of the set.
Cantor's diagonalization shows that which of the following sets is uncountable?
Consider if you can cover all possibilities.
In Cantor's diagonal argument, demonstrate how one can create a new binary string from an infinite binary string list.
Utilize the diagonal method!
Explain why the set of rational numbers is countable while the set of real numbers is uncountable.
Think about representation in decimal forms.
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