# Cardinal number/Related Articles

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*See also changes related to Cardinal number, or pages that link to Cardinal number or to this page or whose text contains "Cardinal number".*

## Parent topics

- Set (mathematics) [r]: Informally, any collection of distinct elements.
^{[e]} - Bijective function [r]: A function in which each possible output value corresponds to exactly one input value.
^{[e]} - Set theory [r]: Mathematical theory that models collections of (mathematical) objects and studies their properties.
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## Subtopics

- Aleph-0 [r]: Cardinality (size) of the set of all natural numbers.
^{[e]} - Countable set [r]: A set with as many elements as there are natural numbers, or less.
^{[e]} - Cantor's diagonal argument [r]: Proof due to Georg Cantor showing that there are uncountably many sets of natural numbers.
^{[e]} - Schroeder-Bernstein theorem [r]:
*Add brief definition or description* - Continuum hypothesis [r]: A statement about the size of the continuum, i.e., the number of elements in the set of real numbers.
^{[e]} - Large cardinal [r]:
*Add brief definition or description*

- Axiom of choice [r]: Set theory assertion that if S is a set of disjoint, non-empty sets, then there exists a set containing exactly one member from each member of S.
^{[e]} - Well ordering [r]:
*Add brief definition or description* - Model theory [r]: The study of the interpretation of any language, formal or natural, by means of set-theoretic structures.
^{[e]} - Georg Cantor [r]: (1845-1918) Danish-German mathematician who introduced set theory and the concept of transcendental numbers
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