4 citations · 4 across the 7 of their papers we have counts for
7 papers
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…
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…
Theodorus mathematical Lesson (Theaetetus, 147c7-d6) I What are Theodorus' drawings? II Theodorus' demonstrations of irrationality
Salomon Ofman
Both lectures focus on the first part of the so-called 'mathematical part' of Plato's Theaetetus. In this passage, the young Theaetetus briefly recounts the mathematical lesson giv…
Mouvement et origine du calcul infinitésimal : Théorisation du mouvement et infinitésimaux
Salomon Ofman
In a previous article we gave the general foundations of the theory of movement considered from a philosophical and mathematical point of view. Philosophical it meant to understand…
Mouvement et origine du calcul infinitésimal Philosophie et continuité
Salomon Ofman
This article has his origin in some lectures given at the University of Bologna, inside an interdisciplinary program of mathematics, history of science, physics and philosophy. Sin…
Comprendre les mathématiques pour comprendre Platon - théétète (147d-148b)
Salomon Ofman
In this paper, we study the so-called 'Mathematical part' of Plato's Theaetetus. Its subject concerns the incommensurability of certain magnitudes, in modern terms the question of…