3 papers
math.HO2025
On an Unnoticed Geometrical Paradox in Plato's Timaeus' Cosmology
Salomon Ofman, Luc Brisson
In a previous article, we discussed a paradox in Timaeus' cosmology: that there is no void inside the universe, even though it is entirely filled with polyhedra-a mathematical impo…
math.HO2025
Timaeus' Puzzle of the Innumerable Interstices in a Universe Without Void
Luc Brisson, Salomon Ofman
Some of the most challenging problems in Timaeus' cosmology arise from the geometry of a universe without any void. On the one hand, the universe is spherical in shape; on the othe…
math.HO2020
Theodorus' lesson in Plato's Theaetetus (147d1-d6) Revisited-A New Perspective
Luc Brisson, Salomon Ofman
This article is the first part of a study of the so-called 'mathematical part' of Plato's Theaetetus (147d-148b). The subject of this 'mathematical part' is the irrationality, one…