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: No routing or anything though, as it turns out that mesh networking is extremely hard.

gollark: I made one back in 2019, even: <https://pastebin.com/L0ZKLBRG>

gollark: Also, unless I'm missing something, could you *not* just skip the whole chat range thing using ender modem messaging systems?

gollark: Someone noticed your cc.cc forums post.

gollark: Ħı.

References

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

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