What is a set

The eBook series Learning about mathematics aims to create for the readers a unificatory image of the complex nature of mathematics, as well as a conceptual perspective ultimately necessary to the holistic understanding of school mathematics. Mathematician and philosopher of science Catalin Barboianu talks about mathematics to convince readers that to understand mathematics means first to understand it as a whole, but also as part of a whole.This first eBook of the series is dedicated to the concept of set, one of the most important concepts of mathematics. The eBook deals with the essentials about the mathematical and logical natures of set, the axiomatic constructions of set theory and their associated paradoxes, as well as with the philosophical aspects of this mathematical entity.