aleph

UK /ˈɑˌlɛf/ US /ˈɑˌlɛf/
noun 2

Definitions

noun

1

The first letter of the Proto-Canaanite alphabet, and its descendants in descended Semitic scripts, such as Phoenician 𐤀 (ʾ, ʾaleph), Aramaic 𐡀 (ʾ), Classical Syriac ܐ ('ālaph), Hebrew א (aleph) and Arabic ا (ʾalif).

2

The cardinality of an infinite well-ordered (or well-orderable) set.

The axiom of choice is equivalent to the proposition that every infinite cardinal is an aleph.

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