Cardinal number/Related Articles: Difference between revisions
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imported>Ashley J. Ballard (started) |
imported>Ashley J. Ballard No edit summary |
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==Parent topics== | ==Parent topics== | ||
{{r|Set (mathematics)}} | {{r|Set (mathematics)}} | ||
{{r|Bijective function}} | |||
{{r|Set theory}} | {{r|Set theory}} | ||
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==Other related topics== | ==Other related topics== | ||
{{r|Axiom of choice}} | {{r|Axiom of choice}} | ||
{{r|Well ordering}} | {{r|Well ordering}} | ||
{{r|Model theory}} | {{r|Model theory}} | ||
{{r|Georg Cantor}} | {{r|Georg Cantor}} |
Revision as of 23:44, 22 May 2009
- 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. [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
- 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]