Department of Philosophy
Philosophical foundations of logic

New book: "Foundations of Logical Consequence"

The book is edited by Ole T. Hjortland (University of Bergen) og Colin R. Caret (Yonsei University) and is the first collection of essays dedicated to the philosophical foundations of logic.

Bilde av forsiden på boken "Foundations of Logical Consequence"
Oxford University Press

Main content

About the Book

ABOUT THE BOOK (from Oxford University Press)

  • The first collection of essays dedicated to the philosophical foundations of logic
  • Original work by experts in the field
  • Will shape the direction of future debate

Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? This volume presents thirteen essays by some of the most important scholars in the field of philosophical logic. The essays offer ground-breaking new insights into the nature of logical consequence; the relation between logic and inference; how the semantics and pragmatics of natural language bear on logic; the relativity of logic; and the structural properties of the consequence relation.


Author Infomation


Edited by Colin R. Caret, Yonsei University, and Ole T. Hjortland, University of Bergen

Colin R. Caret is Assistant Professor of Philosophy in Underwood International College, Yonsei University, South Korea. Caret earned his PhD from the University of Connecticut and held a previous appointment as a Research Fellow in the Arché Research Centre (University of St Andrews).

Ole T. Hjortland is Associate Professor of Philosophy at the University of Bergen, Norway. Hjortland has a PhD from the University of St Andrews. He has worked as a Research Fellow in the Arché Research Centre (University of St Andrews) and as Assistant Professor at the Munich Center for Mathematical Philosophy (LMU).

Jc Beall, University of Connecticut
Colin R. Caret, Yonsei University
Hartry Field, New York University
Michael Glanzberg, Northwestern University
Ole T. Hjortland, University of Bergen
Vann McGee, Massachusetts Institute of Technology
Graham Priest, City University of New York
Stephen Read, University of St Andrews
Greg Restall, University of Melbourne
David Ripley, University of Connecticut
Stewart Shapiro, Ohio State University
Heinrich Wansing, Ruhr-Universität Bochum
J. Robert G. Williams, University of Leeds
Elia Zardini, University of Barcelona 

Table of Contents



I Introduction
 1: Colin R. Caret & Ole T. Hjortland: Logical Consequence: Its nature, structure, and application

II Consequence: Models and Proofs
 2: Hartry Field: What is Logical Validity?
 3: Michael Glanzberg: Logical Consequence and Natural Language
 4: Graham Priest: Is the Ternary R Depraved?
 5: Stephen Read: Proof-Theoretic Validity

III Properties and Structure of Logical Consequence
 6: Vann McGee: The Categoricity of Logic
 7: Stewart Shapiro: The Meaning of Logical Terms
 8: Elia Zardini: Breaking the Chains: Following-from and Transitivity
 9: Jc Beall: Non-Detachable Validity and Deflationism

IV Applications of Logical Consequence
 10: David Ripley: Embedding Denial
 11: Greg Restall: Assertion, Denial, Accepting, Rejecting, Symmetry & Paradox
 12: Heinrich Wansing: Knowability Remixed
 13: J. Robert G. Williams: Accuracy, Logic and Degree of Belief