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The Realism-Antirealism Debate in the Age of Alternative Logics

  • Shahid Rahman
  • Giuseppe Primiero
  • Mathieu Marion

Part of the Logic, Epistemology, and the Unity of Science book series (LEUS, volume 23)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Patrick Allo
    Pages 1-23
  3. Alexandre Billon
    Pages 25-45
  4. Denis Bonnay, Mikaël Cozic
    Pages 47-67
  5. Reinhard Kahle
    Pages 101-118
  6. Mathieu Marion
    Pages 141-168
  7. Graham Priest
    Pages 181-190
  8. Giuseppe Primiero
    Pages 191-212
  9. Stephen Read
    Pages 251-267
  10. Sanford Shieh
    Pages 285-299
  11. Göran Sundholm
    Pages 301-311
  12. Joseph Vidal-Rosset
    Pages 313-324
  13. Elia Zardini
    Pages 325-341
  14. Back Matter
    Pages 343-346

About this book

Introduction

The relation between logic and knowledge has been at the heart of a lively debate since the 1960s. On the one hand, the epistemic approaches based their formal arguments in the mathematics of Brouwer and intuitionistic logic. Following Michael Dummett, they started to call themselves `antirealists'. Others persisted with the formal background of the Frege-Tarski tradition, where Cantorian set theory is linked via model theory to classical logic. Jaakko Hintikka tried to unify both traditions by means of what is now known as `explicit epistemic logic'. Under this view, epistemic contents are introduced into the object language as operators yielding propositions from propositions, rather than as metalogical constraints on the notion of inference.

The Realism-Antirealism debate has thus had three players: classical logicians, intuitionists and explicit epistemic logicians. The editors of the present volume believe that in the age of Alternative Logics, where manifold developments in logic happen at a breathtaking pace, this debate should be revisited. Contributors to this volume happily took on this challenge and responded with new approaches to the debate from both the explicit and the implicit epistemic point of view.

Keywords

Alternative Logics Alternative logics Anti-realism Antirealism Cantorian set theory Explicit epistemic Logic Frege Frege-Tarski Intuitionistic Logic Jaakko Hintikka Michael Dummet Philosophy of Logic Tarski

Editors and affiliations

  • Shahid Rahman
    • 1
  • Giuseppe Primiero
    • 2
  • Mathieu Marion
    • 3
  1. 1., UFR Philosophie/ UMR-STL: 8163Université de LilleVilleneuve d'AsqueFrance
  2. 2.Centre for Logic & Philosophy of Sc, Philosophy & Moral Science Dept.Ghent UniversityGentBelgium
  3. 3., Département de philosophieUniversité du Québec à MontréalMontrealCanada

Bibliographic information