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.
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.
Table of Contents
TABLE OF CONTENTS
Preface
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
Index