Definition:Cardinality of Continuum

Definition
The cardinality of the continuum is the cardinality of the set of real numbers, denoted $\size \R$ or $\mathfrak c$.

Also see

 * Cardinality of Continuum is Infinite
 * Continuum has Cardinality of Continuum, which shows that all continua have exactly this cardinality
 * Continuum Hypothesis
 * Real Numbers are Uncountable