Elementary sentence

In mathematical logic, an elementary sentence is one that is stated 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 sentence is elementary is a weaker condition than saying it is algebraic.

Related

References

This article is issued from Wikipedia - version of the 9/29/2009. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.