%0 Journal Article %T Ultraproducts as a tool for first-order inexpressibility in the finite and infinite %A Philip Dittmann %J Mathematics %D 2013 %I arXiv %X Ultraproducts are a well-known tool in the classical model theory of first-order logic. We explore their uses in the context of finite model theory. %U http://arxiv.org/abs/1310.3137v1