Cardinal number/Related Articles

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

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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. ^[e]

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

Other related topics

• 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 ^[e]