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Cardinality of the continuum
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===Uncountability=== [[Georg Cantor]] introduced the concept of [[cardinality]] to compare the sizes of infinite sets. He famously showed that the set of real numbers is [[uncountably infinite]]. That is, <math>{\mathfrak c}</math> is strictly greater than the cardinality of the [[natural numbers]], <math>\aleph_0</math>: {{block indent|<math>\aleph_0 < \mathfrak c.</math>}} In practice, this means that there are strictly more real numbers than there are integers. Cantor proved this statement in several different ways. For more information on this topic, see [[Cantor's first uncountability proof]] and [[Cantor's diagonal argument]].
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