Topics in the Philosophy of Possible Worlds

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ISBN: 9780815340515 | 0815340516
Cover: Hardcover
Copyright: 2/8/2002

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This book discusses a range of important issues in current philosophical work on the nature of possible worlds. Areas investigated include the theories of the nature of possible worlds, general questions about metaphysical analysis and questions about the direction of dependence between what is necessary or possible and what could be.

Preface

Introduction

(1)

The General Approach

(3)

Possible Worlds

(24)

What are ``Possible Worlds''?

(14)

The Competing Theories of Possible Worlds

(10)

Towards Explaining the Connection Between Modality And Possible Worlds

(22)

What Might the Connection between Possible Worlds Talk and Modal Operator Talk be?

(4)

The Primitives of a Theory

(9)

Modal Primitives

(8)

Expressive Completeness Without Possible Worlds The Hazen Cases

(26)

Neutral Quantification

(3)

The First Three Hazen Cases: Problems of Existence

(5)

Hazen Case Number Four: A Case to be Set Aside

(2)

Two Challenging Hazen Cases

(5)

Defending The Use of Second-Order QML

(10)

Problems For `Strong' Modal Fictionalism

(18)

Three Varieties of Modal Fictionalism: Broad, Timid and Strong

(2)

The First Problem: Artificiality

(5)

The Second Problem: The Incompleteness of the Modal Fiction

(2)

The Third Problem: Propositions

(4)

An Assumption Relied on by the Incompleteness Objections, and a Defence Thereof

(1)

A Final Problem: Redundancy

(1)

Conclusion

(2)

Representing Aliens

(36)

The Problem

(2)

Denials that the Problem Arises

(2)

Explaining the Caveat ``Not Constructible out of Existing Universals''

100

(4)

How to Represent Alien Universals

104

(3)

The Problem for Linguistic Ersatzism and Modal Fictionalism

107

(8)

Making Sure the World-Book Represents the Actual Universe

115

(5)

From Universes to Worlds-Salvaging Ersatz Worlds from the Inter-Definition

120

(6)

How a Linguistic Ersatzer Can Reply to Lewis's Objection Based on Alien Universals

126

(2)

Conclusion

128

(3)

Recombination Unbound

131

(20)

The Principle of Recombination and Lewis's Restriction

131

(2)

The Forrest/Armstrong Argument

133

(6)

How Possibilia Can be Seen as Forming a Proper Class

139

(7)

Some Arguments Against the Thesis that there is a Maximum Size of Worlds (MS)

146

(2)

Conclusion

148

(3)

A Reduction Of Classes To Possible Worlds

151

(24)

The State-of Play in Lewis's System

152

(7)

How Atoms Can Perform Double Duty

159

(6)

A Surprising Feature of the Account

165

(4)

Utilising the Surprising Feature

169

(6)

Recapitulation

175

(4)

Appendix One Proofs For Chapter Seven

179

(16)

Section 1: Proving that My Systems Satisfy Lewis's So-Called ``Standard Axioms''

179

(14)

Section 2: Proofs of Impredicative Comprehension

193

(2)

Appendix Two Trouble For Lewis's ``Main Thesis''

195

(6)

The Problem

195

(2)

The Model

197

(3)

The Remedy

200

(1)

References

201

(6)

Index

207

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Topics in the Philosophy of Possible Worlds

Summary

Table of Contents

Supplemental Materials