(I apologize if this is a duplicate, but I don't know what terms to search for. Please feel free to close this if this has already been asked.)
There are some properties of finite objects that don't scale up to the infinite case. For example, any finite set of real numbers must have a least element, though an infinite set of real numbers needn't have a least element. Similarly, any meet semilattice of finite height is also a join semilattice, but when extended to the infinite case this no longer holds true.
Is there are a term for properties like these that hold in the finite case but not the infinite case?