- 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
The bounded functional interpretation of the double negation shift
Journal of Symbolic Logic 75 (2):759-773 (2010)
Abstract
We prove that the (non-intuitionistic) law of the double negation shift has a bounded functional interpretation with bar recursive functionals of finite type. As an application. we show that full numerical comprehension is compatible with the uniformities introduced by the characteristic principles of the bounded functional interpretation for the classical caseAuthor'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
Solger's Notion of Sacrifice as Double Negation.Paolo Diego Bubbio - 2009 - Heythrop Journal 50 (2):206-214.
Factorization of the Shoenfield-like Bounded Functional Interpretation.Jaime Gaspar - 2009 - Notre Dame Journal of Formal Logic 50 (1):53-60.
Glivenko Theorems for Substructural Logics over FL.Nikolaos Galatos & Hiroakira Ono - 2006 - Journal of Symbolic Logic 71 (4):1353 - 1384.
Varieties of Commutative Integral Bounded Residuated Lattices Admitting a Boolean Retraction Term.Roberto Cignoli & Antoni Torrens - 2012 - Studia Logica 100 (6):1107-1136.
Concepts and aims of functional interpretations: Towards a functional interpretation of constructive set theory.Wolfgang Burr - 2002 - Synthese 133 (1-2):257 - 274.
On negative yes/no questions.Maribel Romero & Chung-Hye Han - 2004 - Linguistics and Philosophy 27 (5):609-658.
From functional mess to bounded functionality.Oscar Vilarroya - 2001 - Minds and Machines 11 (2):239-256.
On interpretations of bounded arithmetic and bounded set theory.Richard Pettigrew - 2009 - Notre Dame Journal of Formal Logic 50 (2):141-152.
Analytics
Added to PP
2010-09-12
Downloads
48 (#315,498)
6 months
9 (#242,802)
2010-09-12
Downloads
48 (#315,498)
6 months
9 (#242,802)
Historical graph of downloads
Author's Profile
Citations of this work
The bounded functional interpretation of bar induction.Patrícia Engrácia - 2012 - Annals of Pure and Applied Logic 163 (9):1183-1195.
References found in this work
Über eine bisher noch nicht benützte erweiterung Des finiten standpunktes.Von Kurt Gödel - 1958 - Dialectica 12 (3‐4):280-287.
Bounded functional interpretation.Fernando Ferreira & Paulo Oliva - 2005 - Annals of Pure and Applied Logic 135 (1):73-112.
Strongly majorizable functionals of finite type: A model for barrecursion containing discontinuous functionals.Marc Bezem - 1985 - Journal of Symbolic Logic 50 (3):652-660.
Injecting uniformities into Peano arithmetic.Fernando Ferreira - 2009 - Annals of Pure and Applied Logic 157 (2-3):122-129.
Factorization of the Shoenfield-like Bounded Functional Interpretation.Jaime Gaspar - 2009 - Notre Dame Journal of Formal Logic 50 (1):53-60.
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-6d9b7f7c4c-tstkh uwo