Reasons for Logic, Logic for Reasons

This book presents a philosophical conception of logic - "logical expressivism"- according to which the role of logic is to make explicit reason relations, which are often neither monotonic nor transitive. It reveals new perspectives on inferential roles, sequent calculi, representation, truthmakers, and many extant logical theories.

Reasons for Logic, Logic for Reasons presents a philosophical conception of logic-"logical expressivism"-according to which the role of logic is to make explicit reason relations, which are often neither monotonic nor transitive. This conception of logic reveals new and enlightening perspectives on inferential roles, sequent calculi, representation, truthmakers, and many extant logical theories.

The book shows how we can understand different metavocabularies as making explicit the same reason relations, namely normative-pragmatic, alethic-representational, logical, and "implication-space" metavocabularies. This includes a philosophical account of the pragmatic role of reason relations, treatments of nonmonotonic and nontransitive consequence relations in sequent calculi, a correspondence between these sequent calculi and variants of truthmaker theory, and the introduction of a novel kind of formal semantics that interprets sentences by assigning inferential roles to them. The book thus offers logical expressivists and semantic inferentialists new ways to understand logic, content, inferential roles, representation, and reason relations.

This book will appeal to researchers and graduate students who are interested in the philosophy of logic, in reasons and reasoning, in theories of meaning and content, or in nonmonotonic and nontransitive logics.

Autorentext

Ulf Hlobil is Associate Professor of Philosophy at Concordia University. His publications include "Limits of Abductivism About Logic" (2020) and G.E.M. Anscombe: Aufsätze (2014, with Katharina Nieswandt).

Robert B. Brandom is Distinguished Professor of Philosophy at the University of Pittsburgh. His books include Making It Explicit (1994), Between Saying and Doing (2008), and A Spirit of Trust (2019). He is a Fellow of the American Academy of Arts and Sciences and of the British Academy.

Klappentext

This book presents a philosophical conception of logic - "logical expressivism"- according to which the role of logic is to make explicit reason relations, which are often neither monotonic nor transitive. It reveals new perspectives on inferential roles, sequent calculi, representation, truthmakers, and many extant logical theories.

Zusammenfassung
This book presents a philosophical conception of logic logical expressivism according to which the role of logic is to make explicit reason relations, which are often neither monotonic nor transitive. It reveals new perspectives on inferential roles, sequent calculi, representation, truthmakers, and many extant logical theories.

Inhalt

Introduction: Metavocabularies of Reason 1. A Pragmatic Metavocabulary 2. Logical Expressivism and the Open Structure of Reasons 3. Introducing Logical Vocabulary: Making Reason Relations Logical 4. Truth-Taking and Truth-Making: How They Share a Rational Form 5. Implication-Space Semantics: Content as Implicational Role 6. Conclusion Epilogue: A Speculative Synthesis