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