A Note Concerning The Notion Of Satisfiability

Logique Et Analyse 47 (2004)
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Abstract

Tarski has shown how the argumentation of the liar paradox can be used to prove a theorem about truth in formalized languages. In this paper, it is shown how the paradox concerning the least undefinable ordinal can be used to prove a no go-theorem concerning the notion of satisfaction in formalized languages. Also, the connection of this theorem with the absolute notion of definability is discussed.

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Leon Horsten
Universität Konstanz

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