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Foundations of Logical Consequence

Colin R. Caret and Ole T. Hjortland

Abstract

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, e.g. how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? The present volume collects together thirteen chapters by some of the most important scholars in the field of philosophical logic, selected from the wealth of contributions made to the AHRC funded Foundations of Logical Conseq ... More

Keywords: logical consequence, validity, semantics, pragmatics, models, proofs, truth, inference, rationality, consistency

Bibliographic Information

Print publication date: 2015 Print ISBN-13: 9780198715696
Published to Oxford Scholarship Online: June 2015 DOI:10.1093/acprof:oso/9780198715696.001.0001

Authors

Affiliations are at time of print publication.

Colin R. Caret, editor
Yonsei University

Ole T. Hjortland, editor
University of Bergen

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Contents

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Part I Introduction

1 Logical Consequence

Colin R. Caret and Ole T. Hjortland

Part II Consequence: Models and Proofs

Part III Properties and Structure of Logical Consequence

8 Breaking the Chain

Elia Zardini

Part IV Applications of Logical Consequence

10 Embedding Denial

David Ripley

12 Knowability Remixed

Heinrich Wansing

End Matter