The concept of truth in a finite universe

Journal of Philosophical Logic 29 (6):617-633 (2000)
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The prospects and limitations of defining truth in a finite model in the same language whose truth one is considering are thoroughly examined. It is shown that in contradistinction to Tarski's undefinability theorem for arithmetic, it is in a definite sense possible in this case to define truth in the very language whose truth is in question
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Undecidable Theories.Tarski, Alfred

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