- 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
An isomorphism between monoids of external embeddings: About definability in arithmetic
Journal of Symbolic Logic 67 (2):598-620 (2002)
Abstract
We use a new version of the Definability Theorem of Beth in order to unify classical theorems of Yuri Matiyasevich and Jan Denef in one structural statement. We give similar forms for other important definability results from Arithmetic and Number Theory.Other Versions
No versions found
Links
PhilArchive
External links
(no proxy)
Setup an account with your affiliations in order to access resources via your University's proxy server
Through your library
- Sign in / register and customize your OpenURL resolver
- Configure custom resolver
My notes
Similar books and articles
Abstract Beth Definability in Institutions.Marius Petria & Răzvan Diaconescu - 2006 - Journal of Symbolic Logic 71 (3):1002 - 1028.
An Institution-independent Proof of the Beth Definability Theorem.M. Aiguier & F. Barbier - 2007 - Studia Logica 85 (3):333-359.
Beth definability, interpolation and language splitting.Rohit Parikh - 2011 - Synthese 179 (2):211 - 221.
Two-variable logic has weak, but not strong, Beth definability.Hajnal Andréka & István Németi - 2021 - Journal of Symbolic Logic 86 (2):785-800.
Implicit Definability in Arithmetic.Stephen G. Simpson - 2016 - Notre Dame Journal of Formal Logic 57 (3):329-339.
Arithmetic definability by formulas with two quantifiers.Shih Ping Tung - 1992 - Journal of Symbolic Logic 57 (1):1-11.
On definability in multimodal logic.Joseph Y. Halpern, Dov Samet & Ella Segev - 2009 - Review of Symbolic Logic 2 (3):451-468.
On definability in multimodal logic: On definability in multimodal logic.Joseph Y. Halpern - 2009 - Review of Symbolic Logic 2 (3):451-468.
Beth Definability in the Logic KR.Jacob Garber - 2021 - In Ivo Düntsch & Edwin Mares (eds.), Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs. Springer Verlag. pp. 213-224.
Analytics
Added to PP
2009-01-28
Downloads
53 (#405,542)
6 months
17 (#167,779)
2009-01-28
Downloads
53 (#405,542)
6 months
17 (#167,779)
Historical graph of downloads
References found in this work
The Foundations of Mathematics.Charles Parsons & Evert W. Beth - 1961 - Philosophical Review 70 (4):553.
Abraham Robinson. Non-standard analysis. Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, series A, vol. 64 (1961), pp. 432–440; also Indagationes mathematicae, vol. 23 (1961), pp. 432-440. - Abraham Robinson. Topics in non-Archimedean mathematics. The theory of models, Proceedings of the 1963 International Symposium at Berkeley, edited by J. W. Addison, Leon Henkin, and Alfred Tarski, Studies in logic and the foundations of mathematics, North-Holland Publishing Company, Amsterdam1965, pp. 285–298. - Abraham Robinson. On generalized limits and linear functionals. Pacific journal of mathematics, vol. 14 (1964), pp. 269–283. - Alan R. Bernstein and Abraham Robinson. Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos.Pacific journal of mathematics, vol. 16 (1966), pp. 421–431. - Abraham Robinson. Non-standard analysis.Studies in logic and the foundations of mathematics. North-Holland Publishing Company, Amsterdam1966, xi + 293 pp. [REVIEW]Gert Heinz Müller - 1969 - Journal of Symbolic Logic 34 (2):292-294.
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-wmc4m dc2