Paradox lháře a jeho řešení

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Title in English The Paradox of Liar and Its Solutions
Authors

RACLAVSKÝ Jiří

Year of publication 2007
Type Chapter of a book
MU Faculty or unit

Faculty of Arts

Citation
Description After historical recapitulation of already suggested solutions to liar paradox with showing its disadvantages I examine the solution proposed by Pavel Tichý. Tichý showed by means of his transparent intensional logic which incorporates (generalized) ramified hierarchy of types that axiom of reducibility enables to restore the liar paradox what was not recognized by Russell. Tichý points out that to generate the paradox it is necessary to add a premise to which language the liar sentence belongs. However, there are brute facts that a language of a certain order cannot involve its own name as meaningful and this disable to discuss properties related to the language itself. Hence the predicate "not-true" cannot be in a language of order n meaningfully applied sentences of that language, liar sentence is thus meaningless.
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