Rahman S., Primiero G., Marion M. (Eds.) The Realism-Antirealism Debate in the Age of Alternative Logics

Springer, 2012. — xvi, 346 p. — (Logic, Epistemology, and the Unity of Science, vol. 23). — ISBN 978-94-007-1922-4, 978-94-007-1923-1.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.Acknowledgements
On When a Disjunction Is Informative
Patrick Allo
My Own Truth
Alexandre Billon
Which Logic for the Radical Anti-realist?
Denis Bonnay and Mikaël Cozic
Moore’s Paradox as an Argument Against Anti-realism
Jon Cogburn
The Neutrality of Truth in the Debate Realism vs. Anti-realism
María J. Frápolli
Modalities Without Worlds
Reinhard Kahle
Antirealism, Meaning and Truth-Conditional Semantics
Neil Kennedy
Game Semantics and the Manifestation Thesis
Mathieu Marion
Conservativeness and Eliminability for Anti-Realistic Definitions
Francesca Poggiolesi
Realism, Antirealism, and Paraconsistency
Graham Priest
Type-Theoretical Dynamics
Giuseppe Primiero
Negation in the Logic of First Degree Entailment and Tonk
Shahid Rahman
Necessary Truth and Proof
Stephen Read
Anti-realist Classical Logic and Realist Mathematics 269
Greg Restall
A Tale of Two Anti-realisms
Sanford Shieh
A Double Diamond of Judgement
Göran Sundholm
Stable Philosophical Systems and Radical Anti-realism
Joseph Vidal-Rosset
Two Diamonds Are More Than One
Elia ZardiniTrue PDF