A Novel Solution to Grelling's Heterological Paradox

Kód výsledku v 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>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

A Novel Solution to Grelling's Heterological Paradox

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

A Novel Solution to Grelling's Heterological Paradox

Popis výsledku anglicky

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.

Druh

O - Ostatní výsledky

CEP obor

AA - Filosofie a náboženství

OECD FORD obor

—

Projekt

<a href="/cs/project/GP401%2F07%2FP280" target="_blank" >GP401/07/P280: Singulární termíny - filosofie a logika</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2009

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů