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authorjoshuab <>2010-06-30 21:57:43 +0000
committerbnewbold <bnewbold@adelie.robocracy.org>2010-06-30 21:57:43 +0000
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@@ -44,4 +44,4 @@ Cardinality of the natural numbers (countable): $\mathbf{N}$,$\mathbf{Z}$
Cardinality of the real numbers (continuum): $\mathbf{R}$
Proofs:
-- $\mathbf{Z}=\mathbf{N}$ under the bijection $n \mapsto 2n+1$ for nonnegative $n$ and $n \mapsto 2|n|$ for negative $n$. For example, ${-2,-1,0,1,2} \mapsto {4,2,1,3,5}$. \ No newline at end of file
+- $\mathbf{Z}=\mathbf{N}$ under the bijection $n \mapsto 2n+1$ for nonnegative $n$ and $n \mapsto 2|n|$ for negative $n$. For example, $\{-2,-1,0,1,2\} \mapsto \{4,2,1,3,5\}$. \ No newline at end of file