aleph-null

noun

Pronunciation: ˈɑːlɛf nʌl

Definition

The smallest transfinite cardinal number, representing the cardinality of the set of all natural numbers.

Examples

• Mathematicians use the symbol aleph-null to denote the size of the set of counting numbers.

• Because the set of integers is countable, it also has a cardinality equal to aleph-null.

• Georg Cantor proved that aleph-null is strictly smaller than the cardinality of the real numbers.

Synonyms of aleph-null

Words with a similar meaning to aleph-null:

• countable infinity
• aleph-zero

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