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Saving Truth From Paradox

Hartry Field

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

The book is an opinionated survey of philosophical work on paradoxes of truth and of related notions, such as property-instantiation, with occasional forays into related topics such as vagueness, the ... More


Contradiction

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:
10.1093/0199263280.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter provides an account of the nature of negation which not only endorses the traditional idea of negation as a contradictory-forming operator, but also allows for the possibility of ... More


Gödel’s incompleteness theorems, free will and mathematical thought

SOLOMON FEFERMAN

in Free Will and Modern Science

Published in print:
2011
Published Online:
January 2013
ISBN:
9780197264898
eISBN:
9780191754074
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197264898.003.0007
Subject:
Philosophy, Philosophy of Mind

The determinism-free will debate is perhaps as old as philosophy itself and has been engaged in from a great variety of points of view including those of scientific, theological, and logical ... More


Indeterminacy, Degree of Belief, and Excluded Middle

Hartry Field

in Truth and the Absence of Fact

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199242894
eISBN:
9780191597381
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199242895.003.0010
Subject:
Philosophy, General

Discusses the question of how to reconcile the acceptance of indeterminacy in one's own language with the acceptance of a minimal notion of truth. Argues that regarding a sentence of one's own ... More


Laws of Non-Contradiction, Laws of the Excluded Middle, and Logics *

Greg Restall

in The Law of Non-Contradiction

Published in print:
2004
Published Online:
May 2010
ISBN:
9780199265176
eISBN:
9780191713989
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199265176.003.0005
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

There is widespread acknowledgement that the law of non-contradiction (LNC) is an important logical principle. However, there is less-than-universal agreement on exactly what the law amounts to. This ... More


The Catuṣkoṭi or Tetralemma

Jan Westerhoff

in Nagarjuna's Madhyamaka: A Philosophical Introduction

Published in print:
2009
Published Online:
May 2009
ISBN:
9780195375213
eISBN:
9780199871360
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195375213.003.0004
Subject:
Religion, Buddhism

The tetralemma or catuṣkoṭi constitutes a form of argument frequently encountered in Nāgārjuna’s works. It usually consists of the rejection of all of the following: a thesis, its negation, the ... More


Idealization Naturalized

Alan Weir

in Truth Through Proof: A Formalist Foundation for Mathematics

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199541492
eISBN:
9780191594915
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199541492.003.0008
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

Idealization in grammar is taken as a starting point. Grammatical theory is interpreted as an ‘injective idealization’, from the fragmentary corpus of concrete utterances into an infinite ... More


Wright and Revisionism

Sanford Shieh

in Logic, Language, and Mathematics: Themes from the Philosophy of Crispin Wright

Published in print:
2020
Published Online:
August 2020
ISBN:
9780199278343
eISBN:
9780191881442
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199278343.003.0008
Subject:
Philosophy, Logic/Philosophy of Mathematics

Do considerations in the theory of meaning pose a challenge to classical logic, and in particular to the law of excluded middle? Michael Dummett suggested an affirmative answer to this question, and ... More


Object and Truth: A Realist Manifesto

Stewart Shapiro

in Philosophy of Mathematics: Structure and Ontology

Published in print:
2000
Published Online:
November 2003
ISBN:
9780195139303
eISBN:
9780199833658
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195139305.003.0003
Subject:
Philosophy, Logic/Philosophy of Mathematics

Several varieties of realism are distinguished. Working realism is a methodological thesis that sanctions the inferences and principles suggested by traditional realism: excluded middle, the axiom of ... More


Wittgenstein and Intuitionism

Robert J. Fogelin

in Philosophical Interpretations

Published in print:
1992
Published Online:
November 2003
ISBN:
9780195071627
eISBN:
9780199833221
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/019507162X.003.0015
Subject:
Philosophy, General

This essay explores one important strain that runs through Wittgenstein's Remarks on the Foundations of Mathematics: his commitment to themes characteristic of the intuitionist movement in logic and ... More


The Competition for ‘Closest’

Jonathan Bennett

in A Philosophical Guide to Conditionals

Published in print:
2003
Published Online:
November 2003
ISBN:
9780199258871
eISBN:
9780191597046
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199258872.003.0011
Subject:
Philosophy, Philosophy of Language

Discussion of the idea that there is never a closest antecedent world, and the opposing ‘limit assumption’ that says that there are limits to how fine grained a respect of world comparison can be. ... More


Unrolling from the Antecedent Time

Jonathan Bennett

in A Philosophical Guide to Conditionals

Published in print:
2003
Published Online:
November 2003
ISBN:
9780199258871
eISBN:
9780191597046
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199258872.003.0012
Subject:
Philosophy, Philosophy of Language

Defends the view that for the evaluation of a subjunctive conditional, the closeness of an antecedent world depends upon how much it resembles the actual world up to the time of the antecedent. ... More


Core Logic and the Paradoxes

Neil Tennant

in Core Logic

Published in print:
2017
Published Online:
October 2017
ISBN:
9780198777892
eISBN:
9780191823367
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198777892.003.0011
Subject:
Philosophy, Logic/Philosophy of Mathematics

The Law of Excluded Middle is not to be blamed for any of the logico-semantic paradoxes. We explain and defend our proof-theoretic criterion of paradoxicality, according to which the ‘proofs’ of ... More


The Metaphysical Proposition

Frédéric Neyrat

in Atopias: Manifesto for a Radical Existentialism

Published in print:
2017
Published Online:
September 2018
ISBN:
9780823277551
eISBN:
9780823280605
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fordham/9780823277551.003.0004
Subject:
Philosophy, General

Chapter three examines the construction of philosophical concepts. The chapter offers a defense of the imagination in the formation of metaphysical propositions. Arguing for a return to metaphysics, ... More


The Interaction of ‘If’ and ‘Would’: Heuristics

Timothy Williamson

in Suppose and Tell: The Semantics and Heuristics of Conditionals

Published in print:
2020
Published Online:
August 2020
ISBN:
9780198860662
eISBN:
9780191893391
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198860662.003.0011
Subject:
Philosophy, Philosophy of Language

The chapter argues that ‘would’ is associated with a suppositional heuristic analogous to that for ‘if’ but sensitive to the contextual restriction on ‘would’. This heuristic has structurally ... More


Beauvoir, Irigaray, and Philosophy

Dorothea E. Olkowski

in Differences: Re-reading Beauvoir and Irigaray

Published in print:
2017
Published Online:
October 2017
ISBN:
9780190275594
eISBN:
9780190275624
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190275594.003.0009
Subject:
Philosophy, Feminist Philosophy

Luce Irigaray’s view of her relationship to Beauvoir’s work is that “there are important differences between our positions.” This should not be surprising given that these two philosophers belong to ... More


Stoic Trichotomies

Daniel Nolan

in Oxford Studies in Ancient Philosophy, Volume 51

Published in print:
2016
Published Online:
February 2017
ISBN:
9780198795797
eISBN:
9780191836855
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198795797.003.0006
Subject:
Philosophy, Ancient Philosophy

Chrysippus often talks as if there is a third option when we might expect that two options in response to a question are exhaustive. Things are true, false, or neither; equal, unequal, or neither; ... More


Moses

in Abysmal: A Critique of Cartographic Reason

Published in print:
2007
Published Online:
March 2013
ISBN:
9780226629308
eISBN:
9780226629322
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226629322.003.0011
Subject:
Philosophy, Metaphysics/Epistemology

The tension between trust and verification lies at the heart of European culture, perhaps of all cultures. In Erich Auerbach's analysis, it is located exactly in the taboo-ridden interface between ... More


Applications

Moritz Schulz

in Counterfactuals and Probability

Published in print:
2017
Published Online:
March 2017
ISBN:
9780198785958
eISBN:
9780191831713
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198785958.003.0007
Subject:
Philosophy, Logic/Philosophy of Mathematics

The chapter applies the theory developed in chapter 6 to four pertinent issues in the debate about counterfactuals: counterfactuals with a true antecedent, the duality thesis, conditional excluded ... More


Unintended Consequences of Punishment

Joan Mccord

in Corporal Punishment of Children in Theoretical Perspective

Published in print:
2005
Published Online:
October 2013
ISBN:
9780300085471
eISBN:
9780300133806
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300085471.003.0011
Subject:
Law, Family Law

This chapter presents arguments that contend that the use of punishment is counterproductive. Because punishments are intended to control children's behavior, many people assume that the major—and ... More


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