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The Figuration of Space

8 Agosto 2017 - di Andrea Ricolfi

Matematica

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.

The Figuration of Space.pdf

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Andrea Ricolfi
Andrea Ricolfi
Torino, 30 marzo 1988 Matematico (SISSA, Trieste).
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The Figuration of Space