What theoretical equivalence could not be

Formal criteria of theoretical equivalence are mathematical mappings between specific sorts objects, notably including those objects used in physics. Proponents formal claim that results involving these have implications extend beyond pure mathematics. For instance, they bear on the project using our best physics as a guide to what world is like, and also deflationary for various debates metaphysics In this paper, I investigate whether there defensible view according which significant non-mathematical implications, or any other, reaching chiefly negative verdict. Along way, discuss foundational issues concerning how we use describe when doing physics, practice should inform metaphysics. diagnose prominence stemming from contentious views issues, endeavor motivate some alternative their stead.