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Logical Pluralism

Graham Priest

in Doubt Truth to be a Liar

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199263288
eISBN:
9780191603631
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199263280.003.0013
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter distinguishes between various senses in which one might be a pluralist about logic. In several of these, pluralism is uncontentiously correct. The difficult issue is whether there are ... More


Logical Pluralism

JC Beall and Greg Restall

Published in print:
2005
Published Online:
October 2011
ISBN:
9780199288403
eISBN:
9780191700491
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199288403.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

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 ... More


Introduction

JC Beall

in Logical Pluralism

Published in print:
2005
Published Online:
October 2011
ISBN:
9780199288403
eISBN:
9780191700491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199288403.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

This book presents and defends what it calls logical pluralism, the view that there is more than one genuine deductive consequence relation, and that this plurality arises not merely because there ... More


General Objections

JC Beall

in Logical Pluralism

Published in print:
2005
Published Online:
October 2011
ISBN:
9780199288403
eISBN:
9780191700491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199288403.003.0008
Subject:
Philosophy, Logic/Philosophy of Mathematics

By way of further clarifying logical pluralism, this chapter turns to some general objections. One objection is to argue for a pluralism about logical consequence which is wide enough to encompass ... More


Truth, Consequence, and the Universality of Reason

Michael P. Lynch

in Truth as One and Many

Published in print:
2009
Published Online:
May 2009
ISBN:
9780199218738
eISBN:
9780191711794
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199218738.003.0006
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Language

This chapter continues elaborating and defending alethic functionalism. Particular attention is paid to how the functionalist can counter the problems of mixed inferences and mixed compounds that ... More


Scientific Languages, Ontology, and Truth

Jody Azzouni

in Talking About Nothing: Numbers, Hallucinations and Fictions

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199738946
eISBN:
9780199866175
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199738946.003.0006
Subject:
Philosophy, General

This chapter first describes older approaches to the unity of science: strong reductionism and supervenience, and relates their drawbacks to the widespread practice—in the sciences—of referring to ... More


Pluralism Defined

JC Beall

in Logical Pluralism

Published in print:
2005
Published Online:
October 2011
ISBN:
9780199288403
eISBN:
9780191700491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199288403.003.0003
Subject:
Philosophy, Logic/Philosophy of Mathematics

Logical pluralism is a pluralism about logical consequence. Crudely put, a pluralist maintains that there is more than one relation of logical consequence. By way of illustrating the kind of claim ... More


Logic

Theodore Sider

in Writing the Book of the World

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199697908
eISBN:
9780191732096
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199697908.003.0010
Subject:
Philosophy, Metaphysics/Epistemology

The highly general notion of structure lets us raise metaphysical questions about logic. Is it conjunction or disjunction that is most fundamental? (An uncomfortable question! ‐ fortunately we may ... More


Other Directions

JC Beall

in Logical Pluralism

Published in print:
2005
Published Online:
October 2011
ISBN:
9780199288403
eISBN:
9780191700491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199288403.003.0010
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter looks at just a few of the ways in which a pluralistic view of logical consequence could be developed. It considers the upshot of recognising the plurality of consequence relations; how ... More


Essentialism and Logical Consequence

Rosanna Keefe and Jessica Leech

in Being Necessary: Themes of Ontology and Modality from the Work of Bob Hale

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198792161
eISBN:
9780191866876
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198792161.003.0004
Subject:
Philosophy, Moral Philosophy

According to an increasingly popular view, the source of logical necessity is to be found in the essences of logical entities. One might be tempted to extend the view further in using it to tackle ... More


Logical Consequence

JC Beall

in Logical Pluralism

Published in print:
2005
Published Online:
October 2011
ISBN:
9780199288403
eISBN:
9780191700491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199288403.003.0002
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter explores the concept of logical consequence and defends logical pluralism. Logic, in the core tradition, involves the study of formal languages. However, the primary aim is to consider ... More


Classical Logic

JC Beall

in Logical Pluralism

Published in print:
2005
Published Online:
October 2011
ISBN:
9780199288403
eISBN:
9780191700491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199288403.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

Logical pluralism addresses the following conditions. First, the settled core of consequence is given in the Generalised Tarski Thesis (GTT). Second, an instance of GTT is obtained by a specification ... More


Variations & Loose Ends

JC Beall

in Logical Pluralism

Published in print:
2005
Published Online:
October 2011
ISBN:
9780199288403
eISBN:
9780191700491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199288403.003.0007
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter presents variations on logical consequence and logical pluralism. If the arguments presented so far are sound, then there are different ways to settle the notion of logical consequence, ... More


Introduction to Part II

Jody Azzouni

in Talking About Nothing: Numbers, Hallucinations and Fictions

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199738946
eISBN:
9780199866175
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199738946.003.0005
Subject:
Philosophy, General

This introduction takes notes of the fact that we have many different kinds of discourses—moral discourse, mathematical discourse, scientific discourse, fictional discourse, and so on—and that one ... More


Specific Objections

JC Beall

in Logical Pluralism

Published in print:
2005
Published Online:
October 2011
ISBN:
9780199288403
eISBN:
9780191700491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199288403.003.0009
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter turns to specific objections against logical pluralism. There are a number of objections to classical, intuitionistic, and relevant logic which are specific to those logics, and not to ... More


Alternative Conventions, Alternative Logics

Jared Warren

in Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism

Published in print:
2020
Published Online:
December 2020
ISBN:
9780190086152
eISBN:
9780190086183
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190086152.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics

Logical conventionalism leads to logical pluralism. The chapter discusses various arguments for pluralism, based on more and less demanding principles of translation. The crucial problem case of a ... More


Logical Consequence: Its Nature, Structure, and Application

Colin R. Caret and Ole T. Hjortland

in Foundations of Logical Consequence

Published in print:
2015
Published Online:
June 2015
ISBN:
9780198715696
eISBN:
9780191783388
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198715696.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

This essay introduces the reader to the central issues in philosophical logic. The chapter rehearses the main proposals and problems driving contemporary debate in the field, and describes how the ... More


Logical Disagreement

Anandi Hattiangadi

in Metaepistemology

Published in print:
2018
Published Online:
December 2018
ISBN:
9780198805366
eISBN:
9780191843433
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805366.003.0006
Subject:
Philosophy, Metaphysics/Epistemology

This chapter investigates what we disagree about when we disagree about logic, on the assumption that judgments of logical validity are normative. If logic is normative, then the popular anti-realist ... More


The Meaning of Logical Terms

Stewart Shapiro

in Foundations of Logical Consequence

Published in print:
2015
Published Online:
June 2015
ISBN:
9780198715696
eISBN:
9780191783388
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198715696.003.0007
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter explores the ramifications of a relativist view of logic with respect to the meanings of logical terms. It is a twist on the old question of whether classicists and intuitionists have ... More


The Method of Language-Games as a Method of Logic

Oskari Kuusela

in Wittgenstein on Logic as the Method of Philosophy: Re-examining the Roots and Development of Analytic Philosophy

Published in print:
2019
Published Online:
February 2019
ISBN:
9780198829751
eISBN:
9780191868252
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198829751.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter develops an interpretation of Wittgenstein’s method of language-games as a method of logic that exhibits continuities with Frege’s, Russell’s, and the early Wittgenstein’s conceptions of ... More


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