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1. Countability (4 points) (1) (1 point) Show that the set of integers Z = { ..., 3 , 2 , 1 , 0 ,
1. Countability (4 points)
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(1) (1 point) Show that the set of integers Z = {...,3,2,1,0,1,2,3,...} is countable.
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(2) (3 points) Let B be the set of all infinite sequences over the alphabet {0, 1}. Show that B is uncountable using a proof by diagonalization.
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