 So far the discussion has focused on style as a tool for philosophers of culture and for historians of mathematics. But do mathematicians recognize the existence of styles in mathematics? Once again, it would not be difficult to give isolated quotes where mathematicians might talk about the style of the ancients or the abstract algebraic style or categorial style. In logical work one finds occurrences of style in such denominations as ‘Bishop-style constructive mathematics’. What are difficult to find are systematic discussions by mathematicians of the notion of style. The case of Bieberbach was mentioned above but no detailed discussion of the examples he adduced as evidence of differences in style was given there, partly because they are so twisted by his desire to provide support for his ideological point of view that there are reasons to doubt that one would gain much by way of an analysis of his case studies.