aleph-zero

noun

Meaning

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

Examples

Georg Cantor proved that the set of integers has the same cardinality as aleph-zero.
Even though the set of rational numbers is dense, its size is still exactly aleph-zero.

Synonyms: countable infinity, aleph-null

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aleph-zero

noun

Pronunciation: ˌɑːlɛf ˈzɪəroʊ

Definition

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

Examples

Georg Cantor proved that the set of integers has the same cardinality as aleph-zero.
Even though the set of rational numbers is dense, its size is still exactly aleph-zero.

Synonyms of aleph-zero

Words with a similar meaning to aleph-zero:

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