On an Unnoticed Geometrical Paradox in Timaeus’ Cosmology
Abstract
In the present article, we examine a paradox that has gone almost entirely unnoticed by commentators, both ancient and modern. This oversight may surprise scholars, given the extensive body of work on Timaeus’ universe, much of which emphasizes discrepancies with astronomical observations or points out alleged internal contradictions. This paradox arises from the premise of a universe entirely filled with polyhedra and that nonetheless has a spherical surface despite the absence of any void outside it.
Fields of Study & Subjects
Classical Philosophy and Thought
Historical Philosophy and Science
History and Theory of Mathematics
Publication details
- Journal / source
- Ancient Philosophy
- Volume
- 46
- Issue
- 1
- Pages
- 121–137
- Publication date
- 1 January 2026