We show that if a first-order structure${\cal M}$, with universe ℤ, is an expansion of (ℤ,+,0) and a reduct of (ℤ,+,<,0), then${\cal M}$must be interdefinable with (ℤ,+,0) or (ℤ,+,<,0).

We study dp-minimal and strongly dependent theories and investigate connections between these notions and weight.