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Model-theoretic semantics and revenge paradoxes.

Lorenzo Rossi1

  • 1Department of Philosophy (KGW), University of Salzburg, Franziskanergasse 1, 5020 Salzburg, Austria.

Philosophical Studies
|March 19, 2019
PubMed
Summary
This summary is machine-generated.

This study examines revenge arguments against semantic paradox solutions. It argues these arguments reveal genuine limitations, challenging existing strategies and advocating for unified theories of truth to avoid paradoxes.

Keywords:
Model-theoretic instrumentalismModel-theoretic semanticsRevenge paradoxesSemantic paradoxes

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Area of Science:

  • Philosophy of Language
  • Logic
  • Metaphysics

Background:

  • Semantic paradoxes, such as the Liar Paradox, pose significant challenges to theories of truth.
  • Revenge arguments claim that proposed solutions to these paradoxes generate new, unresolvable paradoxes.
  • Model-theoretic semantics is a common framework for analyzing truth and addressing paradoxes.

Purpose of the Study:

  • To analyze revenge arguments that utilize model-theoretic semantics.
  • To challenge the prevailing view that such arguments do not pose genuine problems.
  • To argue for the abandonment of the distinction between 'standard' and 'revenge' paradoxes.

Main Methods:

  • Focus on revenge arguments employing model-theoretic semantics.
  • Critically evaluate Field's anti-revenge strategy.
  • Develop a more unified approach to semantic paradoxes.

Main Results:

  • Revenge arguments, particularly those using model-theoretic semantics, can indicate genuine expressive limitations of a theory.
  • Field's strategy is insufficient to resolve the revenge problem.
  • The distinction between 'standard' and 'revenge' paradoxes is problematic and should be discarded.

Conclusions:

  • Theories offering a uniform account of truth and semantic notions are better equipped to handle all types of paradoxes.
  • Abandoning the standard/revenge distinction facilitates a more robust approach to semantic paradoxes.
  • Expressive limitations highlighted by revenge arguments are significant for semantic theory development.