From another perspective, what you describe as mathematical truth is actually just a proof of a self-consistent mathematical model. Mathematical truth usually doesn't extend further than the page it's written on.
We can show that our mathematical models are internally self-consistent and match observed reality. These models describe the reality we observe, but not are inherently linked to the true nature of reality. Most of the time, new observations invalidate models we previously considered "true".
From another perspective, what you describe as mathematical truth is actually just a proof of a self-consistent mathematical model. Mathematical truth usually doesn't extend further than the page it's written on.
We can show that our mathematical models are internally self-consistent and match observed reality. These models describe the reality we observe, but not are inherently linked to the true nature of reality. Most of the time, new observations invalidate models we previously considered "true".