Mathematics, Models, and Modality: Selected Philosophical Essays

John P. Burgess

doi:10.1017/CBO9780511487347

Mathematics, Models, and Modality

Selected Philosophical Essays

John Burgess is the author of a rich and creative body of work which seeks to defend classical logic and mathematics through counter-criticism of their nominalist, intuitionist, relevantist, and other critics. This selection of his essays, which spans twenty-five years, addresses key topics including nominalism, neo-logicism, intuitionism, modal logic, analyticity, and translation. An introduction sets the essays in context and offers a retrospective appraisal of their aims. The volume will be of interest to a wide range of readers across philosophy of mathematics, logic, and philosophy of language.

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Mathematics, Models, and Modality

Selected Philosophical Essays

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Contents

Front matter
pp i-vi

Contents
pp vii-viii

Preface
pp ix-x

Source notes
pp xi-xiv

Introduction
pp 1-20

PART I - MATHEMATICS
pp 21-22

1 - Numbers and ideas
pp 23-30

2 - Why I am not a nominalist
pp 31-45

3 - Mathematics and Bleak House
pp 46-65

4 - Quine, analyticity, and philosophy of mathematics
pp 66-84

5 - Being explained away
pp 85-103

6 - E pluribus unum: plural logic and set theory
pp 104-134

7 - Logicism: a new look
pp 135-146

PART II - MODELS, MODALITY, AND MORE
pp 147-148

8 - Tarski's tort
pp 149-168

9 - Which modal logic is the right one?
pp 169-184

10 - Can truth out?
pp 185-202

11 - Quinus ab omni naevo vindicatus
pp 203-235

12 - Translating names
pp 236-245

13 - Relevance: a fallacy?
pp 246-255

14 - Dummett's case for intuitionism
pp 256-276

Annotated bibliography
pp 277-283

References
pp 284-296

Index
pp 297-301

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Mathematics, Models, and Modality

Selected Philosophical Essays

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