Faithfulness for Naive Validity

Synthese (forthcoming)
Authors
Ulf Hlobil
Concordia University
Abstract
Nontransitive responses to the validity Curry paradox face a dilemma that was recently formulated by Barrio, Rosenblatt and Tajer. It seems that, in the nontransitive logic ST enriched with a validity predicate, either you cannot prove that all derivable metarules preserve validity, or you can prove that instances of Cut that are not admissible in the logic preserve validity. I respond on behalf of the nontransitive approach. The paper argues, first, that we should reject the detachment principle for naive validity. Secondly, I show how to add a validity predicate to ST while avoiding the dilemma.
Keywords naive validity  v-Curry paradox  nontransitive logic  substructural approaches to paradox  Curry's paradox
Categories (categorize this paper)
DOI 10.1007/s11229-018-1687-x
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Paradoxes and Failures of Cut.David Ripley - 2013 - Australasian Journal of Philosophy 91 (1):139 - 164.
Two Flavors of Curry's Paradox.Jc Beall & Julien Murzi - 2013 - Journal of Philosophy 110 (3):143-165.
Tolerant, Classical, Strict.Pablo Cobreros, Paul Egré, David Ripley & Robert van Rooij - 2012 - Journal of Philosophical Logic 41 (2):347-385.

View all 17 references / Add more references

Citations of this work BETA

The Cut‐Free Approach and the Admissibility‐Curry.Ulf Hlobil - 2018 - Thought: A Journal of Philosophy 7 (1):40-48.

Add more citations

Similar books and articles

Naïve Validity.Julien Murzi & Lorenzo Rossi - forthcoming - Synthese:1-23.
Disarming a Paradox of Validity.Hartry Field - 2017 - Notre Dame Journal of Formal Logic 58 (1):1-19.
Naïve Realism and Extreme Disjunctivism.M. D. Conduct - 2010 - Philosophical Explorations 13 (3):201-221.
Naive Validity.Zach Weber - 2014 - Philosophical Quarterly 64 (254):99-114.
What Is Naive Realism?Damian Leszczyński - 2010 - Studia Philosophica Wratislaviensia 5 (2):89-106.
Conjugal Faithfulness: P. Æ. Hutchings.P. Æ Hutchings - 1977 - Royal Institute of Philosophy Supplement 11:61-85.

Analytics

Added to PP index
2018-02-07

Total downloads
86 ( #75,911 of 2,293,856 )

Recent downloads (6 months)
33 ( #12,427 of 2,293,856 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature