The Figuration of Space
Contents
1 Introduction
1.1 The main argument
1.2 Guided by the Structure
1.3 This note in a few lines
2 The structure of mathematical entities
2.1 (Mathematical) Structuralism
2.2 Categories in a nutshell
2.3 Sets are rigid
2.4 Categories defeat Russell
3 Space = Points + Geometry
3.1 Topology: the Geometry of rubber
3.2 What is the Earth with the North Pole removed?
3.3 Donuts and cups
4 The power of arrows
4.1 The dynamic nature of points
4.2 Yoneda’s Lemma
Bibliography
Il testo completo dell’articolo è disponibile in pdf al link di seguito riportato.