Mathematics, 24.12.2019 02:31 shermoisllo3

Countable and uncountable sets: a. show that if a is countably infinite, then a x a is countably infinite. b. is the set of all bit strings of finite length countable or uncountable? if countable, show how you would enumerate the set. if uncountable, give a proof by diagonalization. c. is the set of all bit strings of infinite length countable or uncountable? if countable, show how you would enumerate the set. if uncountable, give a proof by diagonalization.

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Countable and uncountable sets: a. show that if a is countably infinite, then a x a is countably inf...