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<p>Our thesis about contradictoriness is a threefold one: it is a <i>relative</i>, theory-dependent concept; it is a synonym of <i>absurdity</i>, which is a constant of falsity; it is to be used as a <i>definiens</i> of sentential negation and truth-values, contrary to its usual presentation. First of all, we review both the motivation of such a thesis and its philosophical consequences about the nature of negation and truth-values. Then we propose a formal background encompassing the relativity of contradictoriness into a set of increasingly complex question-answer games, explicating the variety of its formulations by a variety of available answers that make sense of truth-values.</p>

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Relative Contradictoriness

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • Fabien Schang,
  • Evandro Luís Gomes

摘要

Our thesis about contradictoriness is a threefold one: it is a relative, theory-dependent concept; it is a synonym of absurdity, which is a constant of falsity; it is to be used as a definiens of sentential negation and truth-values, contrary to its usual presentation. First of all, we review both the motivation of such a thesis and its philosophical consequences about the nature of negation and truth-values. Then we propose a formal background encompassing the relativity of contradictoriness into a set of increasingly complex question-answer games, explicating the variety of its formulations by a variety of available answers that make sense of truth-values.