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Plural Logic

Alex Oliver and Timothy Smiley

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199570423
eISBN:
9780191755866
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570423.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This book aims to be the natural point of entry to what will be a new subject for most readers. Technicalities have been kept to a minimum, and anyone who is familiar with the classical predicate ... More


Taking Plurals at Face Value

Salvatore Florio and Øystein Linnebo

in The Many and the One: A Philosophical Study of Plural Logic

Published in print:
2021
Published Online:
September 2021
ISBN:
9780198791522
eISBN:
9780191915468
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791522.003.0002
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

Plural logic is a logical system in which plural terms and predicates figure as primitive expressions alongside the singular resources of ordinary first-order logic. The philosophical significance of ... More


 Full plural logic

Alex Oliver and Timothy Smiley

in Plural Logic

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199570423
eISBN:
9780191755866
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570423.003.0013
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This chapter presents a second topic neutral system of plural logic, full plural logic. It is obtained from the mid-plural system of the previous chapter by allowing plural variables to be bound by ... More


 The project

Alex Oliver and Timothy Smiley

in Plural Logic

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199570423
eISBN:
9780191755866
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570423.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This introductory chapter surveys plural phenomena and argues for their logical significance. Terms may be classified as singular or plural, according to the number of things they are capable of ... More


The Many and the One: A Philosophical Study of Plural Logic

Salvatore Florio and Øystein Linnebo

Published in print:
2021
Published Online:
September 2021
ISBN:
9780198791522
eISBN:
9780191915468
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791522.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

Plural logic has become a well-established subject, especially in philosophical logic. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for ... More


Critical Plural Logic

Salvatore Florio and Øystein Linnebo

in The Many and the One: A Philosophical Study of Plural Logic

Published in print:
2021
Published Online:
September 2021
ISBN:
9780198791522
eISBN:
9780191915468
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791522.003.0012
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This chapter develops and motivates an alternative, more critical plural logic, thus exploring the third horn of the trilemma from the previous chapter. First, a liberal view of mathematical ... More


Quantifiers, Determiners, and Plural Constructions

Byeong-uk Yi

in Unity and Plurality: Logic, Philosophy, and Linguistics

Published in print:
2016
Published Online:
June 2016
ISBN:
9780198716327
eISBN:
9780191785030
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198716327.003.0007
Subject:
Philosophy, Philosophy of Language

This paper presents analyses of natural language quantifiers and determiners. In doing so, the paper pays special attention to plural determiners, determiners that can combine with plural noun ... More


Postscript: unfinished business

Alex Oliver and Timothy Smiley

in Plural Logic

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199570423
eISBN:
9780191755866
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570423.003.0015
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

The book concludes with a Postscript describing some items of unfinished business. It begins with three tricky topics: first, pseudo-singular terms—syntactically singular but semantically plural noun ... More


Introduction

Salvatore Florio and Øystein Linnebo

in The Many and the One: A Philosophical Study of Plural Logic

Published in print:
2021
Published Online:
September 2021
ISBN:
9780198791522
eISBN:
9780191915468
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791522.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

English and other natural languages contain plural expressions. Plural logic is based on the idea of taking these expressions at face value rather than eliminating them in favor of singular ... More


Derrida Vis-à-vis Lacan: Interweaving Deconstruction and Psychoanalysis

Andrea Hurst

Published in print:
2008
Published Online:
March 2011
ISBN:
9780823228744
eISBN:
9780823235179
Item type:
book
Publisher:
Fordham University Press
DOI:
10.5422/fso/9780823228744.001.0001
Subject:
Philosophy, Philosophy of Language

Derrida and Lacan have long been viewed as proponents of two opposing schools of thought. This book argues, however, that the logical structure underpinning Lacanian psychoanalytic ... More


Full plural logic

Alex Oliver and Timothy Smiley

in Plural Logic: Second Edition, Revised and Enlarged

Published in print:
2016
Published Online:
February 2017
ISBN:
9780198744382
eISBN:
9780191843877
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198744382.003.0013
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This chapter presents a second topic neutral system of plural logic, full plural logic. It is obtained from the mid-plural system of the previous chapter by allowing plural variables to be bound by ... More


Plurals and Mereology

Salvatore Florio and Øystein Linnebo

in The Many and the One: A Philosophical Study of Plural Logic

Published in print:
2021
Published Online:
September 2021
ISBN:
9780198791522
eISBN:
9780191915468
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791522.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This chapter provides a systematic comparison of plural logic and an atomistic version of classical mereology. Since these two systems are mutually interpretable, it is formally possible to eliminate ... More


Absolute Generality and Singularization

Salvatore Florio and Øystein Linnebo

in The Many and the One: A Philosophical Study of Plural Logic

Published in print:
2021
Published Online:
September 2021
ISBN:
9780198791522
eISBN:
9780191915468
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791522.003.0011
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

Is it possible to assert something of absolutely everything there is? While such absolute generality appears possible, it faces serious theoretical challenges. This chapter examines one such ... More


The project

Alex Oliver and Timothy Smiley

in Plural Logic: Second Edition, Revised and Enlarged

Published in print:
2016
Published Online:
February 2017
ISBN:
9780198744382
eISBN:
9780191843877
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198744382.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This introductory chapter surveys plural phenomena and argues for their logical significance. Terms may be classified as singular or plural, according to the number of things they are capable of ... More


Plural Logic: Second Edition, Revised and Enlarged

Alex Oliver and Timothy Smiley

Published in print:
2016
Published Online:
February 2017
ISBN:
9780198744382
eISBN:
9780191843877
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198744382.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This book tackles the logic of plural terms (‘Whitehead and Russell’, ‘the men who wrote Principia Mathematica’, ‘Henry VIII's wives’, ‘the real numbers’, ‘√—1’, ‘they’); plural predicates ... More


Is there a Plural Object?

Byeong-uk Yi

in Composition as Identity

Published in print:
2014
Published Online:
October 2014
ISBN:
9780199669615
eISBN:
9780191781643
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199669615.003.0009
Subject:
Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics

A plurality or plural object is a single object that is also many, and pluralitism is the thesis that there is such an object. This chapter argues that pluralitism and closely related theses (e.g. ... More


 Cantorian set theory

Alex Oliver and Timothy Smiley

in Plural Logic

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199570423
eISBN:
9780191755866
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570423.003.0014
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This chapter applies plural logic to set theory. Set theory may be axiomatized with full plural logic as the underlying logic and with the function sign { }—read ‘set of’—as its only nonlogical ... More


Derrida: Différance and the “Plural Logic of the Aporia”

Andrea Hurst

in Derrida Vis-à-vis Lacan: Interweaving Deconstruction and Psychoanalysis

Published in print:
2008
Published Online:
March 2011
ISBN:
9780823228744
eISBN:
9780823235179
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fso/9780823228744.003.0004
Subject:
Philosophy, Philosophy of Language

This chapter offers a detailed account of Jacques Derrida's quasi-transcendental thinking. It tries to undo the ties of the interpretative straitjacket that binds ... More


Logic

A. J. Cotnoir and Achille C. Varzi

in Mereology

Published in print:
2021
Published Online:
September 2021
ISBN:
9780198749004
eISBN:
9780191811647
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198749004.003.0006
Subject:
Philosophy, Philosophy of Mind

This chapter considers whether mereology should rightly be thought of as a first-order theory with parthood as a binary predicate. It considers extensions of classical mereology aimed at overcoming ... More


Possible Patterns

Jeffrey Sanford Russell and John Hawthorne

in Oxford Studies in Metaphysics Volume 11

Published in print:
2018
Published Online:
September 2018
ISBN:
9780198828198
eISBN:
9780191866852
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198828198.003.0005
Subject:
Philosophy, Metaphysics/Epistemology

“There are no gaps in logical space,” writes Lewis (1986), giving voice to sentiment shared by many philosophers. But different natural ways of trying to make this sentiment precise turn out to ... More


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