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@proceedings{858819,
author = {Raclavský, Jiří},
booktitle = {Reflections and Projections - GAP 7},
keywords = {semantic paradoxes; Grelling; heterogical paradox; constructions; ramified theory of types},
language = {eng},
note = {(konf. abstrakt)},
title = {A Novel Solution to Grelling's Heterological Paradox},
year = {2009}
}
TY - CONF
ID - 858819
AU - Raclavský, Jiří
PY - 2009
TI - A Novel Solution to Grelling's Heterological Paradox
N1 - (konf. abstrakt)
KW - semantic paradoxes
KW - Grelling
KW - heterogical paradox
KW - constructions
KW - ramified theory of types
N2 - 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 Specification leads 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.
ER -
RACLAVSKÝ, Jiří. A Novel Solution to Grelling's Heterological Paradox. In \textit{Reflections and Projections - GAP 7}. 2009.
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