Definition, Meaning & Synonyms
aleph-null
noun
/ˈɑːlɛf nʌl/
Definition
The smallest infinite cardinal number, representing the size of the set of natural numbers.
Examples
- In set theory, aleph-null is denoted by \(\eth_0\) and signifies the cardinality of the natural numbers.
- The set of integers also has a cardinality of aleph-null.
Meaning
Aleph-null is used in mathematics to describe the concept of sizes of infinite sets. It indicates the simplest form of infinity.
Synonyms
- countable infinity
- transfinite number
