3 papers
math.GM2017
Group Invariant Bounded Linear Functions on Dedekind Complete Totally Ordered Riesz Spaces
George Chailos
In this paper we consider the set of all bounded subsets of totally ordered Dedekind complete Riesz spaces, equipped with the order topology. We show the existence of bounded linea…
math.LO2015
The notion of Infinity within the Zermelo system and its relation to the Axiom of Countable Choice
George Chailos
In this article we consider alternative definitions-descriptions of a set being Infinite within the primitive Axiomatic System of Zermelo.
math.HO2014
Mathematical Interpretation of Plato's Third Man Argument
George Chailos
The main aim of this article is to defend the thesis that Plato apprehended the structure of incommensurable magnitudes in a way that these magnitudes correspond in a unique and we…