  The distinctiveness of heterogeneous naturalism is thus that it recommends one set of standards (mathematical) for settling some questions about mathematics—mathematical ones, such as which axioms to choose—and another set of standards (scientific) for settling other questions about mathematics left open by the practice itself—philosophical ones, such as how to interpret mathematics. This is in contrast to uniform naturalisms in the philosophy of mathematics, for example Quinean scientific naturalism, or Burgessian mathematical-cum-scientific naturalism, or a uniformly mathematical naturalism (also suggested by Maddy (1997) but in our view ultimately not advocated there).