---
tag: 7DXP2S91SH
kind: concept
name: Continuum function
sources:
  - wikipedia: en:5488499@r1332724693
    locator: Continuum function
    note: adopted
    mention: wikipedia://en/5488499
    sections: [Summary]
same_as:
  wikidata: Q5165552
  wikipedia: Continuum function
inventory: [PGASYZ1JPS]
---

## Summary

In mathematics, the **continuum function** is the function $\kappa\mapsto 2^\kappa$ on [[cardinals|0EBACQFAZW]], i.e. raising 2 to the power of *κ* using cardinal exponentiation. Given a cardinal number, the cardinal function yields the cardinality of the [[power set|00E0YZCERH]] of a set of the given cardinality.