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Refinements and Extensions II: Objects, Identity, and Abstracts

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/9780199280391.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics

The present study, so far, has focused exclusively on vague predicates such as ‘bald’, ‘tall’, and predicates such as ‘determinately bald’ and ‘borderline bald‘. Intuitively, what makes a predicate ... More


Consciousness of Abstract Objects *

Richard Tieszen

in Phenomenology and Philosophy of Mind

Published in print:
2005
Published Online:
May 2010
ISBN:
9780199272457
eISBN:
9780191709951
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199272457.003.0009
Subject:
Philosophy, Philosophy of Mind

Edmund Husserl is one of only a few major philosophers in the last one hundred years or so who holds that it is possible to develop a philosophy of mind in which one can account for the consciousness ... More


The Possibility of Metaphysics: Substance, Identity, and Time

E. J. Lowe

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199244997
eISBN:
9780191597930
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199244995.001.0001
Subject:
Philosophy, Metaphysics/Epistemology

Begins with a defence of realist metaphysics against its many enemies. Metaphysics, it is argued, is an autonomous and indispensable intellectual discipline whose distinctive task is to chart the ... More


Introduction

David M. Armstrong

in Sketch for a Systematic Metaphysics

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199590612
eISBN:
9780191723391
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199590612.003.0001
Subject:
Philosophy, Philosophy of Mind, Metaphysics/Epistemology

The hypothesis is that space‐time is what there is. W.V. Quine's ‘abstract objects’ are rejected. What exists should play some causal role (Graham Oddie's Eleatic Principle). The nature of space‐time ... More


Frege on Knowing the Third Realm (1992)

TYLER BURGE

in Truth, Thought, Reason: Essays on Frege

Published in print:
2005
Published Online:
May 2010
ISBN:
9780199278534
eISBN:
9780191706943
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199278534.003.0009
Subject:
Philosophy, History of Philosophy, Philosophy of Language

Frege regarded the foundations of mathematics as self-evident. He maintained that reason could enable one to know of the existence and nature of both mind-independent abstract objects, such as the ... More


Art and Abstract Objects

Christy Mag Uidhir (ed.)

Published in print:
2013
Published Online:
January 2013
ISBN:
9780199691494
eISBN:
9780191746277
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691494.001.0001
Subject:
Philosophy, Aesthetics, Metaphysics/Epistemology

The standard way of thinking about non-repeatable (single-instance) artworks such as paintings, drawings, and non-cast sculpture is that they are concrete things (i.e. material, causally efficacious, ... More


Abstract Ideas

Kenneth P. Winkler

in Berkeley: An Interpretation

Published in print:
1994
Published Online:
November 2003
ISBN:
9780198235095
eISBN:
9780191598685
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198235097.003.0002
Subject:
Philosophy, History of Philosophy

If representation is resemblance, how we do we think of groups or classes of things? According to a tradition Berkeley opposed—a tradition represented by Locke—we do so by forming abstract or ... More


Against Repeatable Artworks

Allan Hazlett

in Art and Abstract Objects

Published in print:
2013
Published Online:
January 2013
ISBN:
9780199691494
eISBN:
9780191746277
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691494.003.0008
Subject:
Philosophy, Aesthetics, Metaphysics/Epistemology

There seem to be repeatable artworks. Plays and musical works (like Hamlet or ‘Pictures at an Exhibition’) can be performed again and again; installations (like Sol LeWitt’s Wall Drawing #260) can be ... More


Nominalism

Charles Chihara

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:
10.1093/0195148770.003.0015
Subject:
Philosophy, Logic/Philosophy of Mathematics

Nominalism is the view that abstract mathematical objects like numbers, functions, and sets do not exist. The chapter articulates and defends a variety of nominalism, based on a reading of ... More


Introduction

John P. Burgess and Gideon Rosen

in A Subject With No Object: Strategies for Nominalistic Interpretation of Mathematics

Published in print:
1999
Published Online:
November 2003
ISBN:
9780198250128
eISBN:
9780191597138
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198250126.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

Begins by distinguishing different varieties of nominalism. All adherents of nominalism agree in rejecting mathematical and other abstract entities, and many have attempted to develop nominalist ... More


Ontology, Analyticity, and Meaning: The Quine-Carnap Dispute

Scott Soames

in Analytic Philosophy in America: And Other Historical and Contemporary Essays

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691160726
eISBN:
9781400850464
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691160726.003.0010
Subject:
Philosophy, American Philosophy

This chapter examines the dispute between Quine and Carnap about how to understand ontological commitment and what ontology to adopt. The central dispute is over Carnap’s acceptance of abstract ... More


A Priori Knowledge

Alvin Plantinga

in Warrant and Proper Function

Published in print:
1993
Published Online:
November 2003
ISBN:
9780195078640
eISBN:
9780199872213
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195078640.003.0006
Subject:
Philosophy, Metaphysics/Epistemology

In this chapter, I examine a priori knowledge from the perspective of my account of warrant. According to the epistemological tradition, what is known a priori is known, somehow, prior to or ... More


Types and Tokens: On Abstract Objects

Linda Wetzel

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262013017
eISBN:
9780262259279
Item type:
book
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262013017.001.0001
Subject:
Philosophy, General

There is a widely recognized but infrequently discussed distinction between the spatiotemporal furniture of the world (tokens) and the types of which they are instances. Words come in both types and ... More


Abstract Objects and the Semantics of Natural Language

Friederike Moltmann

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199608744
eISBN:
9780191747700
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199608744.001.0001
Subject:
Philosophy, Philosophy of Language, Metaphysics/Epistemology

Abstract objects such as properties, propositions, numbers, degrees, and expression types are at the centre of many philosophical debates. Philosophers and linguists alike generally hold the view ... More


Field and Fregean Platonism

Crispin Wright

in The Reason's Proper Study: Essays towards a Neo-Fregean Philosophy of Mathematics

Published in print:
2001
Published Online:
November 2003
ISBN:
9780198236399
eISBN:
9780191597565
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198236395.003.0007
Subject:
Philosophy, Logic/Philosophy of Mathematics

This paper starts by offering a brief reconstruction of the Neo‐Fregean approach as suggested in Frege's Conception of Numbers as Objects and distinguishes various challenges against the method of ... More


The Mechanism of Reference

Colin McGinn

in Knowledge and Reality: Selected Essays

Published in print:
2002
Published Online:
November 2003
ISBN:
9780199251582
eISBN:
9780191598012
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199251584.003.0011
Subject:
Philosophy, Metaphysics/Epistemology

McGinn's aim is two‐fold: to undermine both descriptive and causal theories of reference, and to argue for his preferred, ‘contextual’ theory of reference. McGinn is moved to this position by ... More


Types Exist

Linda Wetzel

in Types and Tokens: On Abstract Objects

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262013017
eISBN:
9780262259279
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262013017.003.0027
Subject:
Philosophy, General

This chapter presents some objections to the argument contending that if a conclusion is an immediate consequence of the data, the burden of proof lies on those who would deny it. The main objection ... More


Platonism vs. Nominalism in Contemporary Musical Ontology

Andrew Kania

in Art and Abstract Objects

Published in print:
2013
Published Online:
January 2013
ISBN:
9780199691494
eISBN:
9780191746277
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691494.003.0010
Subject:
Philosophy, Aesthetics, Metaphysics/Epistemology

Ontological theories of musical works fall into two broad classes, according to whether they take musical works to be abstract objects of some sort. The chapter uses the terms ‘Platonism’ and ... More


Naturalism Reconsidered

Alan Weir

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:
10.1093/0195148770.003.0014
Subject:
Philosophy, Logic/Philosophy of Mathematics

Mathematics poses a difficult problem for methodological naturalists, those who embrace scientific method, and also for ontological naturalists who eschew non-physical entities such as Cartesian ... More


Introduction: Art, Metaphysics, and the Paradox of Standards

Christy Mag Uidhir

in Art and Abstract Objects

Published in print:
2013
Published Online:
January 2013
ISBN:
9780199691494
eISBN:
9780191746277
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691494.003.0001
Subject:
Philosophy, Aesthetics, Metaphysics/Epistemology

The introduction claims there is a tension between philosophical aesthetics and contemporary metaphysics with respect to the broad account of abstract objects as standardly employed. The issue of ... More


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