[1] **viXra:1202.0070 [pdf]**
*submitted on 2012-02-21 04:37:25*

**Authors:** Thierry Delort

**Comments:** 120 Pages.

This document, written in French, contains 2 parts:
In the 1st part, Théorie mathématique Platoniste (Platonic mathematical theory) we expose a complete Platonic theory, covering all the fiels of logic and foundation of mathematics, including a complete set theory.
In the 2nd part, Théorie aléatoire des nombres (random theory of number)we expose a theory of random in mathematics, that can be considered as as a branch of logic as well as a branch of number theory. In particular we show that it gives a theoretical justification of the Goldbach conjecture (weak and strong) as well of the twin prime Conjecture.

**Category:** Set Theory and Logic