P lato is commonly known in the history of philosophy as an initiator of a dualistic concept of body and soul that favors the soul at the expense of the body. By contrast, Nietzsche is known as the thinker who reversed the Platonic order between the “true” intelligible world and the “untrue” sensible world by reinscribing thinking in terms of intelligible ideas in a bodily activity. He is known...

Mathematics is an intellectual activity, arguably one of the most sophisticated ever produced by human civilization. Hermann Hesse sketched a portrait of the activities of mathematicians through the metaphor of the Glass Bead Game. That was perhaps the best literary attempt at catching a glimpse of some inner workings of the society of mathematicians. One does not blame a fictional work for ina...

The Platonic graphs πn arise in several contexts, most simply as a quotient of certain Cayley graphs associated to the projective special linear groups. We show that when n = p is prime, πn can be viewed as a complete multigraph in which each vertex is itself a wheel on n + 1 vertices. We prove a similar structure theorem for the case of an arbitrary prime power. These theorems are then used to...

Plato is accused by some of being a totalitarian, “top-down” thinker, claim that linked not just to his politics but philosophical proclivities more generally. This essay will argue Plato’s method and metaphysics collectively provide few avenues for questioning this outcome. I think Socratic-style provides resistance hegemonic carapaced metaphysics, moreover would there greater coherence betwee...

many philosophers have combined a Platonic metaphysics about abstract entities and theistic conception according to which God is the creator of ‘heaven earth’, all ‘visible ‘invisible’. Supposedly, unique entity se, i. e., on every other depends ontologically. It has been traditional contention Platonists, nevertheless, that things, like universals or numbers, are independent. How these theses ...