A boundary states what you will do; an ultimatum states what the other person must do. The self-help literature draws this line sharply — and in practice the two are constantly confused, which is where the property logic does its damage.
Side by side
Aspect
Boundary
Ultimatum
Governs
Your own action
Their action
Needs their agreement
No
Yes
Enforceable by you
Yes
No
Escalates
Rarely
Usually
What each one means
Boundaries
Limits you set on what others may ask of you — a term that came into clinical use through family systems therapy in the 1960s and 70s, and reached mass audiences through a burst of self-help publishing between 1989 and 1993.