Continuum (mathematics)

In mathematics (particularly in set theory), the continuum refers to either the real numbers, or the cardinality of the set of real numbers (also written as [math]\displaystyle{ \mathfrak{c} }[/math]). Continuum hypothesis is the hypothesis that the cardinality of the continuum is the same as aleph one. It turns out that neither this hypothesis nor its negation contradicts the tenets of set theory itself.

Related pages

• Aleph null
• Continuum hypothesis
• Continuum (theory)