A Novel Solution to Grelling's Heterological Paradox
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14210%2F09%3A00029665" target="_blank" >RIV/00216224:14210/09:00029665 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A Novel Solution to Grelling's Heterological Paradox
Original language description
My approach is based on the examination of the key tacit and uninvestigated premise of the paradox, namely that 'H' means heterological. I claim that 'means' ('denotes', etc.) is essentially a language-related predicate; the concept "heterological" is then defined analogously, i.e. as "heterological in language L". The notion of language L is crucial here; I suggest to explicate language as a mapping from expression to meanings (explicated as Pavel Tichý's constructions). The Principle of Specificationleads to three kinds of Vicious Circle Principle. These principles justify the resulting "full-blooded" hierarchy of languages, i.e. such hierarchy is not ad hoc. As a result, no heterological paradox arises: 'heterological (in L)' is a "partial" predicate that leads to no truth-value when it is applied to itself. There are two versions of "total" heterologicality predicate; however, none of them produces a paradox - there is no revenge problem for the present solution.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
AA - Philosophy and religion
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GP401%2F07%2FP280" target="_blank" >GP401/07/P280: Singular Terms - Philosophy and Logic</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů