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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Studia Logicaarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Studia Logica
Article . 1985 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 2020
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https://dx.doi.org/10.1007/bf0...
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Uniform self-reference

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1985 English Publisher:Springer Science and Business Media LLCJournal:Studia Logica, volume 44, pages 439-445 (issn: 0039-3215, eissn: 1572-8730, Copyright policy )
Authors: Raymond M. Smullyan;

doi: 10.1007/bf00370432

Uniform self-reference

Abstract

Self-referential sentences have played a key role in \textit{A. Tarski'}s proof [Stud. Philos. 1, 261-405 (1935; Zbl 0013.28903)] of the non- definability of arithmetic truth within arithmetic and \textit{K. Gödel}'s proof [Monatsh. Math. Phys. 38, 173-198 (1931; Zbl 0002.00101)] of the incompleteness of Peano Arithmetic. In this article we consider some new methods of achieving self-reference in a uniform manner.

Related Organizations
Keywords

First-order arithmetic and fragments, Self-referential sentences, Gödel numberings and issues of incompleteness

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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