Le probl\`eme intensionnel de la quantification chez Hilbert (The intensional problem of quantification in Hilbert)

TL;DR

This paper surveys Hilbert's Epsilon operator, emphasizing the intensional semantics and exploring related epistemological issues from historical and philosophical perspectives.

Contribution

It provides a comprehensive overview of the intensional aspects of Hilbert's epsilon operator and discusses its epistemological implications across different philosophical viewpoints.

Findings

Highlights the intensional nature of Hilbert's epsilon operator

Connects historical and philosophical debates on semantics

Identifies unresolved epistemological questions

Abstract

The paper (in French) presents a survey of Hilbert's Epsilon operator focusing on the intensional aspects of its semantics. It comments on some epistemological problems, from Albert Lautman in the 1930s to John Bell, Grigori Mints, Barry Hartley Slater, Richard Zach or Edward Zalta in the 1990s.