In 1874, a strong controversy on the theory of bilinear and quadratic forms opposed Camille Jordan and Leopold Kronecker. The arithmetical ideal of Kronecker faced Jordan's claim for the simplicity of his algebraic canonical form. As the controversy combined mathematical and historical arguments, it gave rise to the writing of a history of the methods used by Lagrange, Laplace and Weierstrass in a century long mathematical discussion (1760-1860) around the "equation of secular inequalities".

We present historical and epistemological notes on the relationships between Chemistry–Physics as dating back to two scientific revolutions: Lavoisier’s Traité Élémentaire de Chimie (1789) and by Sadi Carnot’s Réflexions sur la Puissance Motrice du Feu (1824). Their scientific paradigms and mathematical interpretations of chemical and physical phenomena did not made use of infinitesimal analysis as, i.e., exposed within mechanics and, generally speaking, they were totally different from notable Newtonian paradigm survived until to 19th century. An anomaly was, and two revolutions (...) were produced. (shrink)

Concepts of mutual interdependence, process, creative advance, and God occupy key areas in the philosophy of Alfred North Whitehead. Process metaphysics lays emphasis on a naturalism of rigorous rational and empirical methodology with far-reaching implications. Process thinkers have compared Whiteheadian thought to Buddhism, Christianity, and many other religions. However, African religious beliefs have yet to be considered in this area of study. Based on the gap in the literature, this article attempts to reconcile such seemingly different spheres. First, I offer (...) an account of Whitehead's process metaphysics regarding the concepts mentioned above. Second, I argue that nonconventional sources of African philosophy offer conceptual understandings of philosophies of African groups and their place in the metaphysical debate. Third, I discuss these key areas of process thought in Anlo traditional pragmatic philosophy. I illustrate their like-mindedness with process metaphysics through language, religious rites, and historical accounts. I conclude that, although process philosophy overlaps in prominent areas with Anlo belief systems, questions regarding the causal nature of God distinguish the Anlo conception of divinity from that of process philosophy. (shrink)