Paradox with just Self-Reference

Authors
T. Parent
Virginia Tech
Abstract
If a semantically open language has no constraints on self-reference, one can show there is a predicate which is both satisfied and unsatisfied by a self-referring term. The argument requires diagonalization on a definition-scheme for the predicate ‘x is Lagadonian’. (The term ‘Lagadonian’ is adapted from David Lewis). Briefly, a self-referring term is counted as “Lagadonian” if the initial variable in the schema is replaced with the term itself. But the same term is not counted as Lagadonian if this variable is replaced with the quotation or other name for the term. Thus the term both satisfies and does not satisfy ‘x is Lagadonian’. Finally, a related paradox is presented, which requires no self-referring name; it rather depends on a definite description for the sentence containing the description.
Keywords Self-Reference  Circularity  Paradox  Yablo, Stephen  Tarski, Alfred  Godel, Kurt
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 37,146
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

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Yablo's Paradox and Referring to Infinite Objects.O. Bueno & M. Colyvan - 2003 - Australasian Journal of Philosophy 81 (3):402 – 412.
Equiparadoxicality of Yablo's Paradox and the Liar.Ming Hsiung - 2013 - Journal of Logic, Language and Information 22 (1):23-31.
Rosser-Type Undecidable Sentences Based on Yablo’s Paradox.Taishi Kurahashi - 2014 - Journal of Philosophical Logic 43 (5):999-1017.
Circularity and Paradox.Stephen Yablo - 2006 - In Thomas Bolander, Vincent F. Hendricks & Stig Andur Pedersen (eds.), Self-Reference. CSLI Publications. pp. 139--157.
Gödelizing the Yablo Sequence.Cezary Cieśliński & Rafal Urbaniak - 2013 - Journal of Philosophical Logic 42 (5):679-695.
Arithmetical and Specular Self-Reference.Damjan Bojadžiev - 2004 - Acta Analytica 19 (33):55-63.
Disquotationalism, Reference, and Object Dependence.Anthony Everett - 2013 - Philosophical Studies 165 (3):939-955.
Dangerous Reference Graphs and Semantic Paradoxes.Landon Rabern, Brian Rabern & Matthew Macauley - 2013 - Journal of Philosophical Logic 42 (5):727-765.

Analytics

Added to PP index
2014-03-12

Total downloads
111 ( #58,439 of 2,308,512 )

Recent downloads (6 months)
6 ( #106,161 of 2,308,512 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature