States and state-spaces

A “state” is a description of a set of real objects and is an example of a proposition. For example, rain in the next 24 hours is a description of a region of the Earth and is an example of a proposition. That a state is a proposition, ties the notion of a state to logic.

A “state-space” is a set of states of a real object that is “complete,” in the sense that the real objects referenced by the state-space are described by exactly one state in this state-space at any given instant. The set {rain in the next 24 hours, no rain in the next 24 hours} is an example of a state-space.