>Physics can't claim domain over the study of reality and then say that reality can only be studied using mathematical rules.

I never claimed that physics claims domain over all studies of reality - in fact I quite limited the domain of physics to finding the "best set of mathematical rules" that gives a certain probability of events happening.

>Otherwise you're just precluding the conclusion of what you're supposed to be studying, that reality can be described by mathematical rules.

Just the quantifiable part of reality - the "metaphysics" parts (e.g., why are we here? Is that a sensible question?) aren't the purview of physics (although physicists generally have their own opinions, as does Prof. Rovelli...)

>So we should hide reality under a rug if it could possibly lead to harm? I never said hide it - I said such metaphysical beliefs could lead to harm. So be aware that the popular interpretation of there being no "objective reality" (which relies on interpreting something mathematically rigorous in physics) can be twisted into justification for nearly any action.