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en>David Eppstein
Definition: define => construct
 
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In [[set theory]], a discipline within mathematics, an '''admissible set''' is a [[transitive set]] <math> A\, </math> such that <math>\langle A,\in \rangle</math> is a [[model theory|model]] of [[Kripke–Platek set theory]] (Barwise 1975).
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The smallest example of an admissible set is the set of [[hereditarily finite set]]s. Another example is the set of [[hereditarily countable set]]s.
 
==See also==
* [[Admissible ordinal]]
 
== References ==
 
* Barwise, Jon (1975). ''Admissible Sets and Structures: An Approach to Definability Theory'', Perspectives in Mathematical Logic, Volume 7, Springer-Verlag. [http://projecteuclid.org/euclid.pl/1235418470 Electronic version] on [[Project Euclid]].
 
[[Category:Set theory]]
 
 
{{settheory-stub}}

Latest revision as of 05:56, 3 January 2015

Greetings. The writer's title is Phebe and she feels comfortable when individuals use the full name. I am a meter reader. To gather badges is what her family and her enjoy. Years ago we moved to North Dakota.

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