Robert Adams defends a platonic account of goodness, understood as excellence, claiming that there exists good all other things must resemble, identifying the Good with God. Mark Murphy agrees, but argues this is in need Aristotelian supplementation, resemblance take into thing’s kind-membership. While article will accept something like Murphy’s goodness (but without God), it further develop it...

This paper examines Gerhard Krüger's interpretation of Plato in light Martin Heidegger's Destruktion the Greeks and critique Platonism. I argue that new reading should be understood as a understanding Platonism, thereby broader thoughts on Western metaphysics history Being (Seinsgeschichte). The force originality response to Heidegger consist fact anticipates Krüger thus contends (1) does not a...

In defense of anti-essentialism, pragmatist Richard Rorty holds that we may think all objects as if they were numbers. I find Rorty’s metaphysics hinges on two rather weak arguments against the essences contrast, Plato’s offers a plausible definition essentiality by which numbers do have essential properties. Further, argue argumentative mistake is mischaracterizing definition. conclude “essent...

We give a simple proof based on symmetries that there are no geodesics from vertex to itself in the cube, tetrahedron, octahedron, and icosahedron.

In each of Plato's major cosmological works, the Timaeus , the Statesman myth and the Philebus , he asserts that the body of the whole universe is alive and possesses a single WorldSoul which extends throughout it. I wish to offer a new interpretation of the role of the World-Soul which gives the World-Soul a special function in the economy of the Platonic cosmology and which explains why Plato...

There exist precisely 914, 58 and 46 equivariant types of tile-transitive tilings of 3-dimensional euclidean space by topological cubes, oc-tahedra and tetrahedra, that fall into 11, 3, and 9 topological families, respectively. Representatives are described for all topological families. A general method for obtaining results of this kind is introduced.