Lessons from Quantum Logic and Ijiomah’s Logic of Harmonious Monism: Towards the Axiomatization of African Logic

Abstract

In this paper, lessons are drawn from quantum logic and Ijiomah’s logic of Harmonious monism to show that even in Africa, logic can as well be presented with mathematical features and that the African lived-experiences of reality can generate context-propositions that can as well be axiomatized or mathematized in accordance to the tolerance principle of Rudolf Carnap. However, this is not to say that whatever should be regarded as African logic must always be in formal and syntactic mode; but rather, that we must also look at perspectives in which the mathematization of logic can be relevant to African lived experiences. Here, an attempt is made to mathematize Ijiomah’s logic of harmonious monism borrowing from the developments made in quantum logic as a dimension of non-classical logic.