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New Essays on Tarski and Philosophy

Douglas Patterson (ed.)

Published in print:
2008
Published Online:
September 2010
ISBN:
9780199296309
eISBN:
9780191712272
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296309.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

This book shows the way to a proper understanding of the philosophical legacy of the great logician, mathematician, and philosopher Alfred Tarski (1902–983). The contributors are an international ... More


Reflections on Consequence

John Etchemendy

in New Essays on Tarski and Philosophy

Published in print:
2008
Published Online:
September 2010
ISBN:
9780199296309
eISBN:
9780191712272
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296309.003.0011
Subject:
Philosophy, Logic/Philosophy of Mathematics

In The Concept of Logical Consequence Tarski's conception of logical consequence, and the model-theoretic approach based upon it, were criticized. Since that time a number of responses have appeared ... More


Semantic Structure and Logical Form

Ernest Lepore and Kirk Ludwig

in Donald Davidson's Truth-Theoretic Semantics

Published in print:
2007
Published Online:
May 2008
ISBN:
9780199290932
eISBN:
9780191710445
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199290932.003.0014
Subject:
Philosophy, Philosophy of Language

This chapter gives a general characterization of the notion of logical form in the light of the truth-theoretic, and then generalized fulfillment-theoretic, approach to natural language semantics. ... More


The Significance of Tarski's Theory of Truth

Scott Soames

in Understanding Truth

Published in print:
1999
Published Online:
November 2003
ISBN:
9780195123357
eISBN:
9780199872114
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195123352.003.0005
Subject:
Philosophy, Philosophy of Language

Can Tarski's definition of truth be taken to be an analysis of truth – i.e., a method of defining formal truth predicates that are capable of playing the role of truth in all theoretical contexts in ... 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


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


Understanding Truth

Scott Soames

Published in print:
1999
Published Online:
November 2003
ISBN:
9780195123357
eISBN:
9780199872114
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0195123352.001.0001
Subject:
Philosophy, Philosophy of Language

Understanding Truth aims to illuminate the notion of truth, and the role it plays in our ordinary thought, as well as in our logical, philosophical, and scientific theories. Part 1 is ... 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


The Oxford Handbook of Philosophy of Mathematics and Logic

Stewart Shapiro (ed.)

Published in print:
2005
Published Online:
July 2005
ISBN:
9780195148770
eISBN:
9780199835560
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0195148770.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

This book provides comprehensive and accessible coverage of the disciplines of philosophy of mathematics and philosophy of logic. After an introduction, the book begins with a historical section, ... More


Tarski on Models and Logical Consequence

Paolo Mancosu

in The Adventure of Reason: Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940

Published in print:
2010
Published Online:
May 2011
ISBN:
9780199546534
eISBN:
9780191594939
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546534.003.0016
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Mind

An essential notion in semantics is that of logical consequence. A sentence P is a logical consequence of a set of sentences S if and only if it is not possible for the sentences in S to be true and ... More


Logical Consequence: A Constructivist View

Dag Prawitz

in The Oxford Handbook of Philosophy of Mathematics and Logic

Published in print:
2005
Published Online:
July 2005
ISBN:
9780195148770
eISBN:
9780199835560
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195148770.003.0022
Subject:
Philosophy, Logic/Philosophy of Mathematics

The main question addressed in this chapter is how to analyze the modal ingredient in the concept of logical consequence or logical validity of an inference, here expressed by saying that the truth ... More


Are There Model‐Theoretic Logical Truths that are not Logically True?

Mario Gómez‐Torrente

in New Essays on Tarski and Philosophy

Published in print:
2008
Published Online:
September 2010
ISBN:
9780199296309
eISBN:
9780191712272
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296309.003.0013
Subject:
Philosophy, Logic/Philosophy of Mathematics

Tarski implicitly postulated that a certain pre-theoretical concept of logical consequence and his technical concept of logical consequence are co-extensional. This chapter makes explicit a few ... More


Logical Necessity *

Ian Rumfitt

in Modality: Metaphysics, Logic, and Epistemology

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199565818
eISBN:
9780191722004
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199565818.003.0003
Subject:
Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics

This chapter explains the notion of broadly logical necessity via the principle that ‘It is logically necessary that A’ is equivalent to ‘It is logically contradictory that not A’. The relevant ... 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


Connectives, Quantifiers, Logic

Stewart Shapiro

in Vagueness in Context

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199280391
eISBN:
9780191707162
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199280391.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter defines various connectives and quantifiers, and settles on a local notion of validity. The ultimate goal is to delimit a plausible notion of logical consequence and to explore what ... 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


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


Frege's Conception of Logic

Warren Goldfarb

in Future Pasts: The Analytic Tradition in Twentieth Century Philosophy

Published in print:
2001
Published Online:
November 2003
ISBN:
9780195139167
eISBN:
9780199833214
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/019513916X.003.0002
Subject:
Philosophy, History of Philosophy

Goldfarb depicts salient differences between Frege’s and the contemporary philosophical conceptions of logic. On the contemporary conception, logical properties such as validity and consequence are ... 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


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


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