Interpretability is a good criterion for fixing a comparison between theories \(T\) and \(T^{\prime }\), for it is characterized either in terms of “uniform definability of models” or of “the existence of an interpretation map which preserves logical form and provability” (Mceldowney 2020: 15). It is also helpful for proving consistency, as \(T^{\prime }\) is proved to be consistent when interpreted in a consistent \(T\). However, interpretability between theories of a many-sorted signature does