As the question asked, Is every subset of $\mathbb{Z^+}$ countable?
Is every subset of $\mathbb{Z^+}$ countable?
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elementary-set-theory
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0Do you bother searching the site before asking? – 2012-03-15
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0Do you know the recursion principle? In my class: A infinite subset of $\Bbb Z_+$ is countably infinite was proved by exibhiting an explicit bijection with $\Bbb Z_+$. We had to check that the bijection map was well-defined and this motivated the recursion principle. – 2012-03-15
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0i couldn't search anything – 2012-03-15
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0Asaf this is a friendly environment, particularly after asking a question like that you should not post an answer to this question – 2012-03-15
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3@Kirthi: Please don't tell me what to do or not to do, what I should or should not do. I have my own moral compass and my own mind for making decisions like that. Thank you very much and have a pleasant time of the day. – 2012-03-15
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2Sorry I didn't mean to offend – 2012-03-15
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3@Asaf: We each have a moral compass. Maybe Kirthi is just expressing what his says in this situation... – 2012-03-15