Semantic Determinacy and the Structural Limits of Unrestricted Universality

Centre de Physique Théorique

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Abstract

This article argues that any strong universal theory is structurally defective. Any theory that claims truth must employ distinctions, and every truth-claim therefore presupposes distinctions with determinate content. A distinction possesses determinate content only insofar as there exist specifiable conditions under which it applies correctly, incorrectly, requires transformation, or is legitimately suspended. On this basis, the article develops a structural dilemma for any theory that claims unrestricted universal validity for a fixed set of distinctions. Such a theory must either make the relevant conditions of application explicit, thereby rendering its universality conditional rather than absolute, or…

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Topics & keywords

Keywords
  • Universality (dynamical systems)
  • Determinacy
  • Dilemma
  • Classical logic
  • Calculus (dental)
  • Rendering (computer graphics)
UN Sustainable Development Goals
  • Reduced inequalities
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