Conventionalism offers the beginnings of a descriptive account of the nature of mathematics, formulated in terms of its linguistic. It accommodates a fallibilist view of mathematics, and may account for both the objectivity of mathematical knowledge, through our necessary acceptance of linguistic rules, and for at least part of its genesis, via the acquisition of language. Since language connccts mathematics with other areas of knowledge, conventionalism has the potential to account for the applications of mathematics. Thus conventionalism is not refuted, and indeed may satisfy many of the adequacy criteria proposed earlier. Conventionalism is discussed