Another way to succinctly say this is that two distributions may be cleanly separable via a single immeasurable variable, but overlap when measured on any given measurable variable, such that a representation of the separation achieved by a single immeasurable variable is only achievable through multiple measurable variables.
Another way to succinctly say this is that two distributions may be cleanly separable via a single immeasurable variable, but overlap when measured on any given measurable variable, such that a representation of the separation achieved by a single immeasurable variable is only achievable through multiple measurable variables.