 Of course, it might just be the case that also in history and philosophy of science there are ‘intermediate’ levels of style such as the ones being described here (one example that comes to mind is ‘Newtonian style’ in mathematical physics) but the fact that Jean Gayon did not detect them as central seems to point to the fact that the situation in history and philosophy of mathematics is quite different, as these ‘intermediate’ styles are those that have been more thoroughly discussed and that correspond to the styles analyzed by Chevalley and de Lorenzo. Moreover, discussions of local mathematical cultures tend to do without the concept of style.