The Realism-Antirealism Debate in the Age of Alternative Logics [Hardcover]

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.

The relation between logic and knowledge has provoked a heated debate since the 1960s. This book presents the first work on the Realism-Antirealism debate in the Age of Alternative Logics, and shows the most recent developments in philosophical logic.

Preface.- Acknowledgements.- List of Contributors.- Contents.- On When a Disjunction is Informative; Patrick Allo.- 1. Pluralism about Consequence and Content.- 2. Situated and Worldly Content.- 3. Factual and Constraining Content.- 4. Modelling Content.- 5. Three Objections Revisited.- References.- My own truth; Alexandre Billon.- 1. Introduction.- 2. The Truth-Teller is context-sensitive.- 3. The Truth-Teller is relative.- 4. Other pathologilsj