Computers and Technology, 19.11.2019 06:31, andrewdestupinan

1. [10 marks] we begin with some mathematics regarding uncountability. let n = {0, 1, 2, 3, . .} denote the set of natural numbers. (a) [5 marks] prove that the set of binary numbers has the same size as n by giving a bijection between the binary numbers and n. (b) [5 marks] let b denote the set of all infinite sequences over the english alphabet. show that b is uncountable using a proof by diagonalization.

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1. [10 marks] we begin with some mathematics regarding uncountability. let n = {0, 1, 2, 3, . .} de...