Such ordering can explain scope reversals of universals vis-à-vis existentials, for example.
aoun and Li (1993) have provided an account of scopal interpretation across languages like Chinese, English in terms of two principles: Minimal Binding Requirement (which stipulates that variables must be bound by their most local a-bar binder) and Scope Principle (which states that a quantifier a may have scope over a quantifier B iff a c-commands a member of the chain containing B).