Uniform self-reference

Studia Logica 44 (4):439 - 445 (1985)
  Copy   BIBTEX

Abstract

Self-referential sentences have played a key role in Tarski's proof [9] of the non-definibility of arithmetic truth within arithmetic and Gödel's proof [2] of the incompleteness of Peano Arithmetic. In this article we consider some new methods of achieving self-reference in a uniform manner.

Other Versions

No versions found

Links

PhilArchive

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

Iterating Reflection Over Intuitionistic Arithmetic.Emanuele Frittaion - 2026 - Review of Symbolic Logic 19 (2):245-268.
Self-reference and the languages of arithmetic.Richard Heck - 2007 - Philosophia Mathematica 15 (1):1-29.
Injecting uniformities into Peano arithmetic.Fernando Ferreira - 2009 - Annals of Pure and Applied Logic 157 (2-3):122-129.
Gödel’s Master Argument: what is it, and what can it do?David Makinson - 2015 - IfCoLog Journal of Logics and Their Applications 2 (2):1-16.
Two Proof-Theoretic Remarks on EA + ECT.Volker Halbach & Leon Horsten - 2000 - Mathematical Logic Quarterly 46 (4):461-466.

Analytics

Added to PP
2009-01-28

Downloads
147 (#290,882)

6 months
20 (#564,349)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

References found in this work

Languages in which self reference is possible.Raymond M. Smullyan - 1957 - Journal of Symbolic Logic 22 (1):55-67.
Chameleonic languages.Raymond M. Smullyan - 1984 - Synthese 60 (2):201 - 224.

Add more references