Encyclopedia > Aleph

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Aleph, or alef, א, is the first letter of the Hebrew alphabet.

In mathematics, Aleph usually refers to a series of numbers used to represent the cardinality of infinite sets. For example,

<math>\aleph_0</math> is the number of numbers in the set of rational numbers or integers.
<math>\aleph_1</math> is the next largest cardinal number after <math>\aleph_0</math>
<math>\aleph_2</math> is the next largest cardinal number after <math>\aleph_1</math>
and so on...

Aleph is also one of the most advanced systems for inductive logic programming.

Aleph is also the name of a religion in Japan, formerly known as Aum Shinrikyo.

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