Use the definition to prove that the set of all odd natural numbers is a countable set
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Expert's answer
2012-10-19T11:46:13-0400
Let's enumerate the elements of the set of all odd natural numbers in a such way. Let the n-th member of the set be numbered by (n+1)/2. We've build the mapping from the set of all odd natural numbers to the set of natural numbers. So, the set of all odd natural numbers is a countable set.
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