Un \'enonc\'e et un texte inaugural

TL;DR

This paper explores the foundational aspects of Turing's thesis, analyzing its features and the concept of inaugural texts, and situates Turing's work within a broader history of inaugural statements.

Contribution

It introduces the notions of inaugural statements and texts, illustrating them with examples beyond Turing's work, and discusses their role in the history of foundational texts.

Findings

Turing's thesis features are derived from the expression system of Turing machines.

Inaugural texts can be analyzed through their relationships and historical context.

Turing's article is positioned within a broader framework of inaugural history.

Abstract

This paper shows that the main features of Turing's thesis derived from those of the expression system (Turing machines) it inaugures, and in particular its conformity. The notions of inaugural statements and texts are defined and illustrated by other examples than Turing thesis and article. Other relationships between the inaugural texts are considered which allow to include Turing's article in an inaugural history.