What? You've been talking about (a) whether GR needs empirical observation, (b) whether things are true whether people admit them or not (i.e. Objective reality) and (c) mathematical proofs being evidence of absolute truths. Those were my three paragraphs.
How many problems have you worked through in GR? Have you gone through the proofs that GR recreates Newtonian gravity in the low-energy limit? If not, don't go around talking about how Einstein proved GR was a true description of reality with naught but mathematical proof when he didn't think he did that.
Physics has the same requirements for empiric evidence as the life sciences, it's just that we work within regimes where we can apply fundamental, empirically validated mathematical theories directly. If you don't believe me, go ask another physicist.