How Can Parmenides’ τὸ ἐόν Be Unending but Non-endless?

Abstract

I walk a well-trodden but still only partially explored path, along which we shall attempt to establish a basis for the study of the Parmenides poem’s unity by way of a comparison with twentieth-century physics. I investigate the hypothesis that Parmenides’ sphere-shaped τὸ ἐόν, as described in B8.42-49, could be understood as a hyperspherical unlimited whole cosmologically bounded by the διάκοσμος described by the complex sphere system in fragment B12.