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Plural Predication

Thomas McKay

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199278145
eISBN:
9780191707971
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199278145.001.0001
Subject:
Philosophy, Philosophy of Language

Plural predication is a pervasive part of ordinary language. We can say that some people are fifty in number, are surrounding a building, come from many countries, and are classmates. These ... More


The Rational Disciplines: Logic and Mathematics 1

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/9780199590612.003.0012
Subject:
Philosophy, Philosophy of Mind, Metaphysics/Epistemology

Logical and mathematical truths differ from the empirical sciences in being necessary; they can be discovered a priori and in general can be proved (contra Quine). How is this possible? This problem ... More


Numbers

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/9780199590612.003.0013
Subject:
Philosophy, Philosophy of Mind, Metaphysics/Epistemology

An account is given of the Forrest‐Armstrong theory of number (Peter Forrest). Natural numbers are argued to be relations holding between a certain property and a certain mereological whole (black ... More


Classes

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/9780199590612.003.0014
Subject:
Philosophy, Philosophy of Mind, Metaphysics/Epistemology

David Lewis' major contribution to the ontology of classes is to perceive that many‐membered classes are mereological sums of the singletons (unit‐classes of their members: {a, b, c, d, . . .} is ... More


The Metaphysics of the Incarnation

Anna Marmodoro and Jonathan Hill (eds)

Published in print:
2011
Published Online:
May 2011
ISBN:
9780199583164
eISBN:
9780191725647
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199583164.001.0001
Subject:
Religion, Philosophy of Religion

The growth of both philosophy of mind and cognitive science has developed our understanding of the human mind in ways that just a few decades ago were unthinkable. As ideas from philosophy of mind ... More


Concluding Remarks

PETER SIMONS

in Parts: A Study in Ontology

Published in print:
2000
Published Online:
October 2011
ISBN:
9780199241460
eISBN:
9780191696930
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199241460.003.0011
Subject:
Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics

This book has shown that mereology was dominated by a single theory: classical extensional mereology (CEM), present in two logical guises — the Calculus of Individuals and Mereology — each in a ... More


Philosophical Papers Volume I

David Lewis

Published in print:
1983
Published Online:
November 2003
ISBN:
9780195032048
eISBN:
9780199833382
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0195032047.001.0001
Subject:
Philosophy, General

This book contains 15 papers by the influential American philosopher, David Lewis. All previously published (between 1966 and 80), these papers are divided into three groups: ontology, the philosophy ... More


Mathematics without Numbers: Towards a Modal-Structural Interpretation

Geoffrey Hellman

Published in print:
1993
Published Online:
November 2003
ISBN:
9780198240341
eISBN:
9780191597664
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198240341.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

Develops a structuralist understanding of mathematics, as an alternative to set‐ or type‐theoretic foundations, that respects classical mathematical truth while minimizing Platonist commitments to ... More


Introduction

PETER SIMONS

in Parts: A Study in Ontology

Published in print:
2000
Published Online:
October 2011
ISBN:
9780199241460
eISBN:
9780191696930
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199241460.003.0001
Subject:
Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics

This book provides a connected account of the various kinds of mereology, or formal theory of part, whole, and related concepts, which exist in the literature. It also exposes the philosophical ... More


Four-Dimensionalism: An Ontology of Persistence and Time

Theodore Sider

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199244430
eISBN:
9780191598425
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/019924443X.001.0001
Subject:
Philosophy, Metaphysics/Epistemology

According to ‘four‐dimensionalism’, temporally extended things are composed of temporal parts. Most four‐dimensionalists identify ordinary continuants—the persisting objects ordinary language ... More


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