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Mathematically, '''continuum''' can refer to the [[real line]], its [[cardinality]] <math>\mathfrak{c}</math>, or any [[continuous]] [[Connected_(topology)|connected]] [[Dense_subset|dense]] [[linear order]] without [[endpoint]]s. Generally, when mathematicians say "the continuum", they are referring to one of the first two possibilities (context clarifies which one). The [[Continuum Hypothesis]]  conjectures that there is no set of  cardinality bigger than that of the [[natural number]]s <math>\aleph_0</math>, but smaller than the cardinality of the set of the real numbers <math>\mathfrak{c}</math>.

Mathematically, '''continuum''' can refer to the [[real line]], its [[cardinality]] <math>\mathfrak{c}</math>, or any [[continuous]] [[Connected (topology)|connected]] [[Dense subset|dense]] [[linear order]] without [[endpoint]]s. Generally, when mathematicians say "the continuum", they are referring to one of the first two possibilities (context clarifies which one). The [[Continuum Hypothesis]]  conjectures that there is no set of  cardinality bigger than that of the [[natural number]]s <math>\aleph_0</math>, but smaller than the cardinality of the set of the real numbers <math>\mathfrak{c}</math>.

[[Category:Mathematics]]

[[Category:Mathematics]]