One of the vibrant topics of debate among African and non-African scholars in the 20th and 21st centuries centered on the existence of African philosophy. This debate has been described as unnecessary. What is necessary is, if African philosophy exists, we should show it, do it and write it rather than talking about it, or engaging in endless talks about it. A popular position on the debate is that what is expected to be shown, done and written is philosophy tailored (...) along the stereotyped and paradigmatic sense peculiar to Western philosophy. Interestingly, a non-African scholar, Barry Hallen argues that using the method of ordinary language philosophy, African philosophy is philosophy per se, and should be recognised as such. The focus of this paper is to analyse what Hallen refers to as ordinary language philosophy and explain how it authenticates African philosophy as unique ‘species’ of philosophy, thus, putting an end to the controversy on the ontology of African philosophy. (shrink)

Contrary to received opinion, the Aristotelian Square of Opposition (square) is logically sound, differing from standard modern predicate logic (SMPL) only in that it restricts the universe U of cognitively constructible situations by banning null predicates, making it less unnatural than SMPL. U-restriction strengthens the logic without making it unsound. It also invites a cognitive approach to logic. Humans are endowed with a cognitive predicate logic (CPL), which checks the process of cognitive modelling (world construal) for consistency. The square is (...) considered a first approximation to CPL, with a cognitive set-theoretic semantics. Not being cognitively real, the null set Ø is eliminated from the semantics of CPL. Still rudimentary in Aristotle’s On Interpretation (Int), the square was implicitly completed in his Prior Analytics (PrAn), thereby introducing U-restriction. Abelard’s reconstruction of the logic of Int is logically and historically correct; the loca (Leaking O-Corner Analysis) interpretation of the square, defended by some modern logicians, is logically faulty and historically untenable. Generally, U-restriction, not redefining the universal quantifier, as in Abelard and loca, is the correct path to a reconstruction of CPL. Valuation Space modelling is used to compute the effects of U-restriction. (shrink)