Consistency models specify what values reads may observe given concurrent writes. They are characterised by two orthogonal properties: safety (nothing wrong ever happens) and liveness (something good eventually happens).
Consistency in the context of distributed systems revolve around two things, safety and liveness.
Makes promises about liveness only.
Makes promises about liveness and safety
The property that eventually something good will happen. For example saying that a system will return a result to every API call is a liveness property.
The property states that nothing bad will ever happen. For example never returning a wrong value or electing two leaders.