- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Uniform self-reference
Studia Logica 44 (4):439 - 445 (1985)
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.Author's Profile
Other Versions
No versions found
My notes
Similar books and articles
Self-reference and the languages of arithmetic.Richard Heck - 2007 - Philosophia Mathematica 15 (1):1-29.
On gödel's theorems on lengths of proofs I: Number of lines and speedup for arithmetics.Samuel R. Buss - 1994 - Journal of Symbolic Logic 59 (3):737-756.
On the Arithmetical Truth of Self‐Referential Sentences.Kaave Lajevardi & Saeed Salehi - 2019 - Theoria 85 (1):8-17.
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.
Self-Reference Upfront: A Study of Self-Referential Gödel Numberings.Balthasar Grabmayr & Albert Visser - 2023 - Review of Symbolic Logic 16 (2):385-424.
Self-Reference in Arithmetic II.Volker Halbach & Albert Visser - 2014 - Review of Symbolic Logic 7 (4):692-712.
An Exact Pair for the Arithmetic Degrees Whose Join is Not a Weak Uniform Upper Bound.Harold T. Hodes - 1982 - Recursive Function Theory-Newsletters 28.
The strength of nonstandard methods in arithmetic.C. Ward Henson, Matt Kaufmann & H. Jerome Keisler - 1984 - Journal of Symbolic Logic 49 (4):1039-1058.
Analytics
Added to PP
2009-01-28
Downloads
94 (#223,335)
6 months
9 (#477,108)
2009-01-28
Downloads
94 (#223,335)
6 months
9 (#477,108)
Historical graph of downloads
Author's Profile
References found in this work
Der wahrheitsbegriff in den formalisierten sprachen.Alfred Tarski - 1935 - Studia Philosophica 1:261--405.
Languages in which self reference is possible.Raymond M. Smullyan - 1957 - Journal of Symbolic Logic 22 (1):55-67.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-667477cd97-lv8mh dc2