Une r\'eflexion \`a partir de la Nature de Spinoza : "La substance ou la Nature comme Treillis"

TL;DR

This paper introduces a mathematical model based on set theory and axioms to analyze Spinoza's concept of Substance, proving its existence and uniqueness through the Knaster-Tarski Theorem.

Contribution

It provides a novel formal mathematical framework to interpret Spinoza's metaphysical concept of Substance.

Findings

Proves the existence of Substance using set theory and the Knaster-Tarski Theorem.

Establishes the uniqueness of Substance within the proposed model.

Offers a formal mathematical perspective on Spinoza's philosophy.

Abstract

We propose a simple mathematical model based on two axioms and the set theory to approach the problem developed by the philosopher B. Spinoza in "the Ethics". We then use the Knaster-Tarski Theorem to prove the existence and uniqueness of the Substance asserted by Spinoza.