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.

gollark: Yes. However, it *will* find a way to send achievement messages.

gollark: But mostly.

gollark: Well, not *entirely*.

gollark: It's not server side, the bot works as a client.

gollark: Oh, that.

References

Mac Lane and Moerdijk, Sheaves in Geometry and Logic: A First Introduction to Topos Theory, page 4.

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