, David Bloor suggests that logical reasoning is radically relativistic in the sense that there are incompatible ways of reasoning logically, and no culturally transcendent rules of correct logical inference exist which could allow for adjudication of these different ways of reasoning. Bloor cites an example of reasoning used by the Azande as an illustration of such logical relativism. A close analysis of this reasoning reveals that the Azande's logic is in fact impeccably Aristotelian. I argue that the conclusions Bloor (...) can legitimately draw from his case study are not controversial and do nothing to make plausible the thesis of logical relativism. (shrink)

Timm Triplett argues (Inquiry 29 [1986], no. 4) that David Bloor does not succeed in justifying a relativistic interpretation of mathematics. It is objected that Triplett has focused his attention on the wrong chapter of Bloor's Knowledge and Social Imagery, and that the examples which Triplett demands Bloor provide to make the case do appear in the subsequent chapter. Moreover, Bloor has anticipated and refuted Triplett's brief criticism of the examples that make Bloor's case for the relativism of mathematics. Finally, (...) Triplett's own example of a basic mathematical truth can be shown to be socially relative. (shrink)