Théorie mathématique Platoniste-Théorie aléatoire des nombres (conjecture de Goldbach)

Thierry Delort (1)

1 Chercheur indépendant

This document contains 2 parts:In the 1st part, Théorie mathématique Platoniste, we present a very complete Platonic theory, including a consistent Platonic set theory and a very general theory of Platonic logic. In the 2nd part, théorie aléatoire des nombres (conjecture de Goldbach), we present a new logical theory of random permitting to study random in mathematics and in particular to give a theoretical justification of the weak and strong goldbach's conjecture and of the Conjecture of the twin primes.

Mots clés: Platonism; Platonisme; Goldbach's Conjecture; Conjecture de Goldbach; Conjecture of the twin primes; Conjecture des nombres premiers jumeaux; Platonic logic; logique Platoniste

Domaines: Physique Classique [physics.class-ph]; Logique [math.LO]

Thierry Delort. Théorie mathématique Platoniste-Théorie aléatoire des nombres (conjecture de Goldbach). 2012. ⟨hal-00678559⟩