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Generalized Revenge.

Julien Murzi1, Lorenzo Rossi1

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|April 8, 2020
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Summary
This summary is machine-generated.

Revisionary approaches to semantic paradoxes, which weaken classical logic, face new challenges. This paper introduces a revenge argument showing these popular methods create new paradoxes they cannot resolve.

Keywords:
non-contractive logicsnon-transitive logicsparacomplete logicsparaconsistent logicsrevenge paradoxessemantic paradoxes

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Area of Science:

  • Philosophy of Language
  • Logic
  • Metaphysics

Background:

  • Saul Kripke's work popularized revisionary approaches to semantic paradoxes.
  • These approaches involve weakening classical logic to resolve paradoxes.
  • The popularity of revisionary semantics has grown since the 1970s.

Purpose of the Study:

  • To present a novel revenge argument against dominant revisionary approaches to semantic paradox.
  • To demonstrate that existing revisionary strategies are insufficient to block new paradoxes.

Main Methods:

  • Developing a new "revenge argument" tailored to semantic paradoxes.
  • Analyzing the logical consequences of weakening classical logic in semantic theories.

Main Results:

  • The primary revisionary approaches to semantic paradoxes generate new, unresolvable paradoxes.
  • These new paradoxes arise as a direct consequence of the proposed logical weakenings.

Conclusions:

  • Revisionary semantic theories, despite their popularity, are vulnerable to revenge paradoxes.
  • A fundamental flaw exists in the main strategies for resolving semantic paradoxes by weakening logic.