... produced of the choice of alternative theories by mathematicians, and even alternative conceptions of the nature of mathematics, and of mathematical truth, then Bloor's argument has indeed strong ... view of the relationship between teacher and pupil, that of the learned and the learner, the possessor of knowledge and the receiver of knowledge, the controller and the controlled Teaching mathematics ... themselves The strong thesis does not imply, however, that there is no distinction between the various kinds of rational rules adopted in a society on the one hand, and their conventions on the...