  What if there are no global scientific standards, but just the standards of this or that part of science (e.g., physics or biology, or particle physics or fluid mechanics), or even just the standards of this or that group of scientists? In that case, scientific naturalism would fragment into several versions (e.g., physics-naturalism or biology-naturalism). If the motivation for scientific naturalism points to one of these finer-grained naturalisms over the others (e.g., physics-naturalism), or if they all return the same verdicts in the philosophy of mathematics, the potential fragmentation is not worrying. But if not, the scientific naturalist is in trouble, as all these competing naturalisms are by assumption equally valid. So far scientific naturalists have tended to assume that science operates with a single set of standards. Plausible though that assumption is, a rigorous naturalist will want to shore it up with detailed case studies. Similarly for mathematical naturalism and mathematical-cum-scientific naturalism.