  So do philosophical (or more generally non-mathematical) considerations always fall on the side of inspiration rather than justification? Well, philosophical considerations are hardly ever advanced in mathematical journals or books. And whenever they are Maddy sees them as amounting, when one scratches the surface, to ‘intra-mathematical’ arguments (1997, 193), of which a naturalized model of the practice would be ‘purified’, because of their methodological irrelevance (1997, 197). If she is right, this reply generalises from this particular, rather restricted, type of context to all mathematical contexts.