- 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
On Σ₁-Structural Differences among Finite Levels of the Ershov Hierarchy
Journal of Symbolic Logic 71 (4):1223 - 1236 (2006)
Abstract
We show that the structure R of recursively enumerable degrees is not a Σ₁-elementary substructure of Dn, where Dn (n > 1) is the structure of n-r.e. degrees in the Ershov hierarchyAuthor's Profile
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
Relative enumerability in the difference hierarchy.Marat M. Arslanov, Geoffrey L. Laforte & Theodore A. Slaman - 1998 - Journal of Symbolic Logic 63 (2):411-420.
A hierarchical framework for levels of reality: Understanding through representation. [REVIEW]Stanley N. Salthe - 2009 - Axiomathes 19 (1):87-99.
Group Structural Realism.Bryan W. Roberts - 2011 - British Journal for the Philosophy of Science 62 (1):47-69.
Mind as a nested operational architectonics of the brain.Andrew A. Fingelkurts & Alexander A. Fingelkurts - 2012 - Physics of Life Reviews 9 (1):49-50.
A constant of temporal structure in the human hierarchy and other systems.Peter W. Barlow - 1992 - Acta Biotheoretica 40 (4):321-328.
Living things as hierarchically organized structures.Uko Zylstra - 1992 - Synthese 91 (1-2):111 - 133.
The natural hierarchy and quasi-hierarchy of constructibility degrees.Philip Welch - 1986 - Journal of Symbolic Logic 51 (1):130-134.
A hierarchy of families of recursively enumerable degrees.Lawrence V. Welch - 1984 - Journal of Symbolic Logic 49 (4):1160-1170.
P versus np and computability theoretic constructions in complexity theory over algebraic structures.Gunther Mainhardt - 2004 - Journal of Symbolic Logic 69 (1):39-64.
The Hierarchy of System Specifications and the Problem of Structural Inference.Bernard P. Zeigler - 1976 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1976:227 - 239.
Embedding finite lattices into the ideals of computably enumerable Turing degrees.William C. Calhoun & Manuel Lerman - 2001 - Journal of Symbolic Logic 66 (4):1791-1802.
Generalized cohesiveness.Tamara Hummel & Carl G. Jockusch - 1999 - Journal of Symbolic Logic 64 (2):489-516.
Properly [image] Enumeration Degrees and the High/Low Hierarchy.Matthew Giorgi, Andrea Sorbi & Yue Yang - 2006 - Journal of Symbolic Logic 71 (4):1125 - 1144.
Analytics
Added to PP
2010-08-24
Downloads
30 (#504,503)
6 months
3 (#902,269)
2010-08-24
Downloads
30 (#504,503)
6 months
3 (#902,269)
Historical graph of downloads
Author's Profile
Citations of this work
Weak Density and Nondensity among Transfinite Levels of the Ershov Hierarchy.Yong Liu & Cheng Peng - 2020 - Notre Dame Journal of Formal Logic 61 (4):521-536.
The n-r.E. Degrees: Undecidability and σ1 substructures.Mingzhong Cai, Richard A. Shore & Theodore A. Slaman - 2012 - Journal of Mathematical Logic 12 (1):1250005-.
References found in this work
The d.r.e. degrees are not dense.S. Barry Cooper, Leo Harrington, Alistair H. Lachlan, Steffen Lempp & Robert I. Soare - 1991 - Annals of Pure and Applied Logic 55 (2):125-151.
Intervals and sublattices of the R.E. weak truth table degrees, part I: Density.R. G. Downey - 1989 - Annals of Pure and Applied Logic 41 (1):1-26.
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-7c76586df8-l2pxr uwo