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Countability

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1. Show that the set of infinite sequences from is not countable.

Hint: Let be a function from to . Then is a sequence . Let . Then is again a sequence from , and for each we have . This method of proof is known as the Cantor diagonal process.

2. Show that is uncountable. (Use Problem 1)

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Countability is investigated. The solution is detailed and well presented.

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