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===[[Joining an ARML team]]===
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===[[Zermelo-Fraenkel Axioms]]===
Team selection for the [[American Regions Mathematics League]] varies from team to team.
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The '''Zermelo-Fraenkel Axioms''' are a set of axioms that compiled by Ernst Zermelo and Abraham Fraenkel that make it very convenient for set theorists to determine whether a given collection of objects with a given property describable by the language of [[set theory]] could be called a [[set]]. As shown by paradoxes such as [[Russell's Paradox]], some restrictions must be put on which collections to call sets.
  
Florida ARML sends two teams to ARML each year. The selection criteria for the Florida ARML team takes into consideration several factors:
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This axiom establishes the... [[Zermelo-Fraenkel Axioms|[more]]]
 
 
*[[AMC]] and [[AIME]] performance
 
*Past [[AMC]], [[AIME]], and [[USAMO]] scores
 
*Past [[ARML]] performance
 
*FAMAT-designated competitions
 
*An annual statewide tryout test 
 
 
 
The organizers are Jason Wiggins of... [[Joining an ARML team|[more]]]
 
 
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Revision as of 19:50, 21 December 2007

Zermelo-Fraenkel Axioms

The Zermelo-Fraenkel Axioms are a set of axioms that compiled by Ernst Zermelo and Abraham Fraenkel that make it very convenient for set theorists to determine whether a given collection of objects with a given property describable by the language of set theory could be called a set. As shown by paradoxes such as Russell's Paradox, some restrictions must be put on which collections to call sets.

This axiom establishes the... [more]