# Continuum (mathematics)

lack of interruption or disconnection; the quality of being continuous in space or time

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 ${\displaystyle {\mathfrak {c}}}$).[1][2] Continuum hypothesis is the hypothesis that the cardinality of the continuum is the same as aleph one.[2] It turns out that neither this hypothesis nor its negation contradicts the tenets of set theory itself.[3]

## References

1. "Greek/Hebrew/Latin-based Symbols in Mathematics". Math Vault. 2020-03-20. Retrieved 2020-10-07.
2. "Transfinite number | mathematics". Encyclopedia Britannica. Retrieved 2020-10-07.
3. Weisstein, Eric W. "Continuum". mathworld.wolfram.com. Retrieved 2020-10-07.