It was Heraclitus who observed that you cannot step into the same river twice. And so it is that most mathematical systems out there just come and go.
If a mathematical system endures, then it must be that some lock in theorem applies. If not, then there is obviously no cosmic enforcer to make the system true, and obviously there could be no cosmic censor to clear away the contraries - obvious because causality is outside of its proper mathematical range in this application.
Causality stems from the conservation laws. And the conservation laws originate from the Bianchi identities of spacetime. But spacetime is not germane to metaphysics.
So general relativity and its object matter, spacetime, are locked into the experience of the universe by these Bianchi identities. Observe that, without conservation laws there could be no reliably enduring universe.
Where the Bianchi identities apply - but they do not on the smallest scale, not at dilation horizons, and not at the Big Bang and its expanding shards - then spacetime trumps other mathematical systems; no contrary is permitted then. No unification with other systems is justified, the Bianchi identities suffice.
There is another mathematical system that seems to be locked into the universe. Quantum logic, which is a close relative of propositional logic, seems to endure because of the Unitarity Principle. Namely, the apparent number of universes is constant at one. And the total probability of possible histories between different states (of parts of the universe) adds up to one.
There is no unification between quantum logic and spacetime. But it can take over where spacetime goes out of range. And its consequences that are mostly compatible with spacetime can show themselves on the large scale (solid surfaces and colored light).
As Heraclitus said, the other mathematical systems in physics possess less impressive lock ins; they are more ephemeral.