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Revisiting Reichenbach's logic.

Luis Estrada-González1,2, Fernando Cano-Jorge3

  • 1Institute for Philosophical Research, UNAM, Mexico City, Mexico.

Synthese
|August 2, 2021
PubMed
Summary
This summary is machine-generated.

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This study reveals new insights into Reichenbach's three-valued logic using modern logical tools. The research offers novel solutions to existing criticisms and explores connections to contra-classical logics.

Area of Science:

  • Logic
  • Philosophy of Science
  • Mathematical Logic

Background:

  • Reichenbach's three-valued logic has faced historical objections.
  • Contemporary logical analysis tools offer new perspectives on classical and non-classical logics.

Purpose of the Study:

  • To re-evaluate Reichenbach's three-valued logic using contemporary analytical tools.
  • To address historical objections to Reichenbach's logic.
  • To explore the relationship between Reichenbach's logic and contra-classical logics.

Main Methods:

  • Analysis using Dunn-style semantics.
  • Application of contemporary tools in logic.
  • Comparative analysis with contra-classical logics.

Main Results:

Keywords:
Contra-classical logicsCyclical negationDunn semanticsQuasi-implicationReichenbach’s logic

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  • Reichenbach's three-valued logic demonstrates significant features when analyzed with modern tools.
  • New responses to historical objections are proposed.
  • Connections between Reichenbach's logic and contra-classical logics are established.

Conclusions:

  • Contemporary logical tools enhance the understanding and defense of Reichenbach's three-valued logic.
  • The study bridges Reichenbach's logic with newer formalisms, suggesting avenues for future research in non-classical logic.