Gödel’s Absolute Proofs and Girard’s Ludics: Mutual Insights

In Antonio Piccolomini D'Aragona (ed.), Perspectives on Deduction: Contemporary Studies in the Philosophy, History and Formal Theories of Deduction. Springer Verlag. pp. 51-89 (2024)
  Copy   BIBTEX

Abstract

Is it possible to characterize the notion of proof in terms of acts, without focusing on a specific domain of application and a specific linguistic formalization of it? This is the question that this paper addresses through a comparative analysis between two logicians who reflected on this issue: Kurt Gödel and Jean-Yves Girard. A comparative analysis of their respective theoretical frames, their respective results, the similarities and the differences between their methodological assumptions is proposed. More specifically, the aim of the paper is to compare Gödel’s notion of absolute proof and Girard’s notion of Ludic from their common core: a conception of proof in terms of acts.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,069

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

A Note on Gödel, Priest and Naïve Proof.Massimiliano Carrara - forthcoming - Logic and Logical Philosophy:1.
Ontological Purity for Formal Proofs.Robin Martinot - 2024 - Review of Symbolic Logic 17 (2):395-434.
Proofs, necessity and causality.Srećko Kovač - 2019 - In Enrique Alonso, Antonia Huertas & Andrei Moldovan (eds.), Aventuras en el Mundo de la Lógica: Ensayos en Honor a María Manzano. College Publications. pp. 239-263.

Analytics

Added to PP
2024-04-03

Downloads
5 (#1,562,182)

6 months
5 (#710,385)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

Gabriella Crocco
Université d'Aix-Marseille III
Myriam Quatrini
Aix-Marseille University

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references