Elementary theory
In mathematical logic, an elementary theory is one that involves axioms using only finitary first-order logic, without reference to set theory or using any axioms which have consistency strength equal to set theory.
Saying that a theory is elementary is a weaker condition than saying it is algebraic.
Related
References
- Mac Lane and Moerdijk, Sheaves in Geometry and Logic: A First Introduction to Topos Theory, page 4.
This article is issued from Wikipedia - version of the 2/25/2011. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.