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A symbol representing infinite cardinal numbers and transfinite sets in set theory and mathematical logic.

\aleph image

Examples

Denoting the cardinality of natural numbers (aleph-null)

\aleph_0 = |\mathbb{N}|

Comparing infinite cardinal numbers

2^{\aleph_0} = \aleph_1 \text{ (Continuum Hypothesis)}

Set theory cardinality comparison

|\mathbb{R}| = \aleph_1 > \aleph_0 = |\mathbb{N}|