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Interpolation and Definability: Modal and Intuitionistic Logics

Dov M. Gabbay and Larisa Maksimova

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198511748
eISBN:
9780191705779
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198511748.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book focuses on interpolation and definability. This notion is not only central in pure logic, but has significant meaning and applicability in all areas where logic itself is applied, ... More


Modal Logic: An Introduction to its Syntax and Semantics

Nino B. Cocchiarella and Max A. Freund

Published in print:
2008
Published Online:
October 2011
ISBN:
9780195366587
eISBN:
9780199851898
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195366587.001.0001
Subject:
Philosophy, Philosophy of Language

In this text, a variety of modal logics at the sentential, first-order, and second-order levels are developed with clarity, precision, and philosophical insight. All of the S1-S5 modal logics of ... More


Epistemology: New Essays

Quentin Smith (ed.)

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199264933
eISBN:
9780191718472
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199264933.001.0001
Subject:
Philosophy, Metaphysics/Epistemology

This book offers a view of the current state of play in epistemology in the form of twelve chapters by some of the philosophers who have most influenced the course of debates in recent years. Topics ... More


Introduction

Quentin Smith

in Epistemology: New Essays

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199264933
eISBN:
9780191718472
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199264933.003.0001
Subject:
Philosophy, Metaphysics/Epistemology

This introductory chapter presents an overview of the different topics discussed in the subsequent chapters. These include process reliabilism, evidentialism, viral epistemology, anti-luminosity ... More


The Worlds of Possibility: Modal Realism and the Semantics of Modal Logic

Charles S. Chihara

Published in print:
2001
Published Online:
October 2011
ISBN:
9780199246557
eISBN:
9780191697609
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199246557.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This book gives a critical exposition of modal realism, the philosophical doctrine that there exist many possible worlds of which the actual world — the universe in which we live — is just one. The ... More


Modality: Metaphysics, Logic, and Epistemology

Bob Hale and Aviv Hoffmann (eds)

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199565818
eISBN:
9780191722004
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199565818.001.0001
Subject:
Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics

The philosophy of modality investigates necessity and possibility, and related notions — are they objective features of mind-independent reality? If so, are they irreducible, or can modal facts be ... More


Past, Present and Future

Arthur Prior

Published in print:
1967
Published Online:
October 2011
ISBN:
9780198243113
eISBN:
9780191680632
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198243113.001.0001
Subject:
Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics

This book is a sequel to Time and Modality. Many problems raised in that book have been resolved, and new ones have been raised in their turn. The author has recorded some of these developments, and ... More


A Method of Modal Proof In Aristotle

Jacob Rosen and Marko Malink

in Oxford Studies in Ancient Philosophy: Volume 42

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199644384
eISBN:
9780191743344
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199644384.003.0006
Subject:
Philosophy, Ancient Philosophy

In Prior Analytics 1. 15, Aristotle states the following rule of modal logic, which we may call the possibility rule: given the premiss that A is possible, and given a derivation of B from A, it can ... 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


Conclusion

Sarah Waterlow

in Passage and Possibility: A Study of Aristotle's Modal Concepts

Published in print:
1982
Published Online:
October 2011
ISBN:
9780198246565
eISBN:
9780191681011
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198246565.003.0008
Subject:
Philosophy, Ancient Philosophy, Metaphysics/Epistemology

This chapter argues that the charge that Aristotle merges modal with extensional concepts is baseless. His doctrines A' and B' link possibility and necessity with realization at some and at all ... More


Modality

Trenton Merricks

in Truth and Ontology

Published in print:
2007
Published Online:
May 2007
ISBN:
9780199205233
eISBN:
9780191709302
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199205233.003.0005
Subject:
Philosophy, Metaphysics/Epistemology

This chapter argues that neither the modal realism of David Lewis nor abstract possible worlds reductionism can satisfy Truthmaker or TSB when it comes to truths of de re modality. On the contrary, ... 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


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

John P. Burgess and Gideon Rosen

Published in print:
1999
Published Online:
November 2003
ISBN:
9780198250128
eISBN:
9780191597138
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198250126.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

Numbers and other mathematical objects are exceptional in having no locations in space and time and no causes or effects in the physical world. This makes it difficult to account for the possibility ... More


A Theory of Presentism

Craig Bourne

in A Future for Presentism

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199212804
eISBN:
9780191707094
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199212804.003.0003
Subject:
Philosophy, Metaphysics/Epistemology

I begin by laying down three conditions which any theory of time should meet: it should accord with our view that certain statements about the past are true; that the truthmakers for those statements ... More


All the Time in the Worlds: Gödel's Modal Moral

Craig Bourne

in A Future for Presentism

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199212804
eISBN:
9780191707094
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199212804.003.0009
Subject:
Philosophy, Metaphysics/Epistemology

I discuss Gödel's philosophical position on the nature of time. I describe Gödel's model, which contains closed time‐like curves allowing us to take a journey into our future and arrive in our past, ... More


Essays in the Metaphysics of Modality

Alvin Plantinga

Matthew Davidson (ed.)

Published in print:
2003
Published Online:
November 2003
ISBN:
9780195103762
eISBN:
9780199833573
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0195103769.001.0001
Subject:
Philosophy, Metaphysics/Epistemology

This book is a collection of my essays, dating from 1969, concerning the metaphysics of modality. The first two chapters are a defense of the idea of modality de re against criticisms from William ... More


The Nature of Necessity

Alvin Plantinga

Published in print:
1978
Published Online:
November 2003
ISBN:
9780198244141
eISBN:
9780191598241
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198244142.001.0001
Subject:
Philosophy, Metaphysics/Epistemology

This book is a study of the concept of necessity. In the first three chapters, I clarify and defend the distinction between modality de re and modality de dicto. Also, I show how to explain de re ... More


 The Skeptical Challenge

Daniel Stoljar

in Ignorance and Imagination: The Epistemic Origin of the Problem of Consciousness

Published in print:
2006
Published Online:
September 2006
ISBN:
9780195306583
eISBN:
9780199786619
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195306589.003.0003
Subject:
Philosophy, Metaphysics/Epistemology

This chapter discusses the idea that it is mistaken to suppose that there is a genuinely philosophical problem of experience at all. According to one version of the challenge, the problem should be ... More


 Error from Ignorance

Daniel Stoljar

in Ignorance and Imagination: The Epistemic Origin of the Problem of Consciousness

Published in print:
2006
Published Online:
September 2006
ISBN:
9780195306583
eISBN:
9780199786619
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195306589.003.0004
Subject:
Philosophy, Metaphysics/Epistemology

This chapter takes up the conditional thesis that if the ignorance hypothesis is true, the logical problem is solved. The defense of this thesis begins from the idea that there are a number of ... More


The Verbal Complex in Romance: A Case Study in Grammatical Interfaces

Paola Monachesi

Published in print:
2005
Published Online:
January 2010
ISBN:
9780199274758
eISBN:
9780191705908
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199274758.001.0001
Subject:
Linguistics, Syntax and Morphology

This book explores the interface between syntax and the other components of the grammar, particularly phonology, morphology, and argument structure. It contains case studies, on subjects such as ... More


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