We explain and summarize the use of logic to provide a uniform perspective
for studying limit laws on finite probability spaces. This work
connects developments in stability theory, finite model theory, abstract
model theory, and probability. We conclude by linking this context with
work on the Urysohn space.
NOTICE: This is the author’s version of a work that was accepted for publication in Annals of Pure and Applied Logic. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Annals of Pure and Applied Logic, Vol 143, Issue 1-3, 2006 DOI: 10.1016/j.apal.2006.01.006 http://www.journals.elsevier.com/annals-of-pure-and-applied-logic/