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.

• Calculations involving aleph-zero require a deep understanding of transfinite set theory.

Synonyms of aleph-zero

Words with a similar meaning to aleph-zero:

• countable infinity
• aleph-null

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