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

• Results about the cardinality of the continuum can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): continuum: 2. (plural continua)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): continuum: 2. (plural continua)