Logical Pluralism by Greg Restall (English) Paperback Book

Publisher Description

Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, arguing that the notion of logicalconsequence doesn't pin down one deductive consequence relation; it allows for many of them. In particular, they argue that broadly classical, intuitionistic, and relevant accounts of deductive logic are genuine logicalconsequence relations; we should not search for one true logic, since there are many. Their conclusions have profound implications for many linguists as well as for philosophers.

Author Biography

JC Beall is at University of Connecticut. Greg Restall is at University of Melbourne.

Table of Contents

I. Preliminaries1: Introduction2: Logical Consequence3: Pluralism DefinedII. Logics4: Classical Logic5: Relevant Logic6: Constructive Logic7: Variations & Loose EndsIII. Objections, Replies, Other Directions8: General Objections9: Specific Objections10: Other Directions

Review

Beall and Restall have produced a highly readable monograph whose important topic, clarity, directness of argument...first-rate discussion commends it to philsosophers' attention. Alexander Paseau, Mind Journal Logical Pluralism presents a challenge to the proponents of alternative logic, and even to classical logicians who find alternative logics interestingly mistaken. In a short book, the authors not only raise deep issues, they also provide neat thumbnail sketches of a range of logics...theirs is a challenge that must be met, and meeting it adequately is not easy. Every logician should read this book. Stephen Read, Notre Dame Philosophical Reviews

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A short, punchy guide to a groundbreaking development in logic.

Long Description

Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, arguing that the notion of logical
consequence doesn't pin down one deductive consequence relation; it allows for many of them. In particular, they argue that broadly classical, intuitionistic, and relevant accounts of deductive logic are genuine logical consequence relations; we should not search for one true logic, since there are many. Their
conclusions have profound implications for many linguists as well as for philosophers.

Review Text

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Review Quote

Beall and Restall have produced a highly readable monograph whose important topic, clarity, directness of argument...first-rate discussion commends it to philsosophers' attention.

Feature

A short, punchy guide to a groundbreaking development in logic
Authors are renowned for their work in this field
Profound implications for all philosophers and many linguists

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