2 citations · 4 across the 4 of their papers we have counts for
5 papers
The Anthyphairetic Revolutions of the Platonic Ideas
Stelios Negrepontis
In the present work it is shown, by an examination of the Platonic dialogues Theaetetus, Sophistes, Politicus, and Philebus, that (a) a Platonic Idea is the philosophic analogue of…
Plato's theory of knowledge of Forms by Division and Collection in the Sophistes is a philosophic analogue of periodic anthyphairesis (and modern continued fractions)
S. Negrepontis
The aim of this paper is to show that Plato's theory of knowledge of Forms (intelligible Beings, Ideas) in the Sophistes, obtained by Division and Collection, is a close philosophi…
On Theodorus' lesson in the Theaetetus 147d-e
S. Negrepontis, G. Tassopoulos
In the celebrated Theaetetus 147d3-e1 passage Theodorus is giving a lesson to Theaetetus and his companion, proving certain quadratic incommensurabilities. The dominant view on thi…
Schreier Sets in Ramsey Theory
V. Farmaki, S. Negrepontis
We show that Ramsey theory, a domain presently conceived to guarantee the existence of large homogeneous sets for partitions on k-tuples of words (for every natural number k) over…
Block Combinatorics
V. Farmaki, S. Negrepontis
In this paper we extend the block combinatorics partition theorems of Hindman and Milliken in the setting of the recursive system of the block Schreier families (B^xi) consisting o…