The principle of explosion: Aristotle versus the current syntactic theories

The principle of explosion is a problem for the syntactic theories trying to explain and describe human reasoning. In fact, most of the formal cognitive theories tend to reject it. However, that rejection is not often based on a theoretical development of the theories, but on inductions from experimental data. In this paper, I expose Woods and Irvine’s arguments in order to show that Aristotelian logic does not have this problem, that its theoretical framework does not enable to accept the principle of explosion, and that this logic hence has, at least in a sense, certain advantages compared to the current reasoning syntactic theories