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20182025
most citedPowers and division in the 'mathematical part' of Plato's Theaetetus

2 citations · 2 across the 8 of their papers we have counts for

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8 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.HO2024

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…

math.HO2020

Barry Mazur against Papps -- 15 centuries of error on a Euclid's proposition

Salomon Ofman

Barry Mazur published an article some year ago, where he showed, among other things, that the result in the so-called mathematical passage of Plato s Theatetus and Euclid s proposi…

math.HO2020

Truth and Knowledge: the Incorrect Definition of `Powers' by Theaetetus-A New Interpretation of Theaetetus (147d7-148b2)

Luc Brisson, Salomon Ofman

In a first article (referred here as B-O), we studied the first part of the so-called 'mathematical part' of Plato's Theaetetus, i.e. Theodorus' lesson. In the present one, we cons…

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…

math.HO2020

The kh{ô}ra and the two-triangle universe of Plato's Timaeus

Luc Brisson, Salomon Ofman

The main purpose of this article is to try to understand the connection between the physical universe and the mathematical principles that underlies the cosmological account of the…

math.HO2018★ 2 cited

Powers and division in the 'mathematical part' of Plato's Theaetetus

Luc Brisson, Salomon Ofman

In two articles ([Brisson-Ofman1, 2]), we have analyzed the so-called 'mathematical passage' of Plato's Theaetetus, the first dialogue of a trilogy including the Sophist and the St…