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In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets. The cardinality of a finite set is a natural number: the number of elements in the set. The transfinite cardinal numbers, often denoted using the Hebrew symbol (aleph) followed by a subscript, describe the sizes of infinite sets. There is a transfinite sequence of cardinal numbers:

Attributes	Values
rdfs:label	Cardinal number (en)
rdfs:comment	In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets. The cardinality of a finite set is a natural number: the number of elements in the set. The transfinite cardinal numbers, often denoted using the Hebrew symbol (aleph) followed by a subscript, describe the sizes of infinite sets. There is a transfinite sequence of cardinal numbers: (en)
sameAs	Cardinal number
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Subject	Cardinal numbers
Link from a Wikipage to an external page	https://archive.org/details/georgcantorhisma0000daub
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Link from a Wikipage to another Wikipage	Logic Nominal number Skeleton (category theory) Union (set theory) Well-order Well-ordering principle Abstract algebra Aleph Aleph number Algebraic number Arithmetic Associative property Axiom of choice Axiom of limitation of size Beth number Bijection Von Neumann cardinal assignment Von Neumann universe Bounded set Cantor's diagonal argument Cantor's first set theory article Cantor's paradox Cardinal function Cardinal numeral Cardinality Cardinality of the continuum Cartesian product Cardinal numbers Category of sets Category theory Georg Cantor Disjoint sets Distributive property Naive Set Theory (book) Power set Set (mathematics) Set theory Surjective function Zermelo–Fraenkel set theory Class (set theory) Dana Scott Dedekind-infinite set Principia Mathematica Springer Science+Business Media Cofinality Combinatorics Commutative property Continuum hypothesis Countable set Counting Easton's theorem Hilbert's paradox of the Grand Hotel Ordered pair Ordinal number English numerals Finite set Function (mathematics) If and only if Inclusion–exclusion principle Cantor–Bernstein theorem Hans Hahn (mathematician) Hartogs number Hebrew alphabet Hebrew language Infinite set Injective function König's theorem (set theory) Map (mathematics) Model theory Transfinite number Type theory Subset Successor ordinal Topological space Paul Halmos

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