Set $I = \{x \mid x \text{ is a positive integer}\}$
Set $J = \{x \mid 2 < x < 5\}$
Both sets $I$ and $J$ are infinite, I get that. But why is set $I$ denumerable and set $J$ nondenumerable? I just can't get my head around it.
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Have you seen such an argument before? (Note: "uncountable" is another way of saying "nondenumerable") https://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument – Benjamin Wang Feb 21 '21 at 12:03
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No, I haven't come across Canto's diagonal argument before. I will try to understand it. Thanks – LinuxNewbie Feb 21 '21 at 12:09