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Philosophical Devices: Proofs, Probabilities, Possibilities, and Sets

Philosophical Devices: Proofs, Probabilities, Possibilities, and Sets

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By (author) David Papineau

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  • Publisher: Oxford University Press
  • Format: Paperback | 224 pages
  • Dimensions: 134mm x 202mm x 14mm | 259g
  • Publication date: 25 November 2012
  • Publication City/Country: Oxford
  • ISBN 10: 0199651736
  • ISBN 13: 9780199651733
  • Sales rank: 80,807

Product description

This book is designed to explain the technical ideas that are taken for granted in much contemporary philosophical writing. Notions like 'denumerability', 'modal scope distinction', 'Bayesian conditionalization', and 'logical completeness' are usually only elucidated deep within difficult specialist texts. By offering simple explanations that by-pass much irrelevant and boring detail, Philosophical Devices is able to cover a wealth of material that is normally only available to specialists. The book contains four sections, each of three chapters. The first section is about sets and numbers, starting with the membership relation and ending with the generalized continuum hypothesis. The second is about analyticity, a prioricity, and necessity. The third is about probability, outlining the difference between objective and subjective probability and exploring aspects of conditionalization and correlation. The fourth deals with metalogic, focusing on the contrast between syntax and semantics, and finishing with a sketch of Godel's theorem. Philosophical Devices will be useful for university students who have got past the foothills of philosophy and are starting to read more widely, but it does not assume any prior expertise. All the issues discussed are intrinsically interesting, and often downright fascinating. It can be read with pleasure and profit by anybody who is curious about the technical infrastructure of contemporary philosophy.

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Author information

David Papineau was educated in Trinidad, England, and South Africa. He has a BSc in mathematics from the University of KwaZulu-Natal and a BA and PhD in philosophy from Cambridge. He has lectured at Reading University, Macquarie University, Birkbeck College London, and Cambridge University. Since 1990 he has been Professor of Philosophy at King's College London. He was President of the British Society for the Philosophy of Science from 1993 to 1995. In 1999-2000 he was a Leverhulme Research Fellow and in 2007 a Mind Fellow. He was President of the Mind Association for 2009-10. In 2010 he gave the Rudolf Carnap Lectures in Bochum, Germany and in 2011 the Gottlob Frege Lectures in Tartu, Estonia.

Review quote

an engaging, genuinely expository text. It is hard to imagine a better execution of the project of introducing the basics of technical philosophy non-technically. ... an invaluable addition to undergraduate reading lists, and I certainly will make use of it in my teaching. A.C. Paseau, Philosophia Mathematica The book is a clear and straightforward introduction to technical methods and concepts that have widespread applications in analytic philosophy and other sciences. For this reason it is an excellent introductory text. Arif Ahmed, University of Cambridge Papineau has written a suprising book. Though small in size it can serve as a template for a variety of undergraduate philosophy courses as instructors choose to emphasize various parts of the presentation. The text is clearly and accurately written. The pedagogy sets out concepts in a sequential order that works well. This is a highly recommended text. Michael Boylan, Professor and Chair, Philosophy, Marymount University, Virginia

Table of contents

Preface ; Introduction ; PART I: SETS AND NUMBERS ; 1. Naive Sets and Russell's Paradox ; 2. Infinite Sets ; 3. Orders of Infinity ; PART II: ANALYTICITY, A PRIORICITY, AND NECESSITY ; 4. Kinds of Truths ; 5. Possible Worlds ; 6. Naming and Necessity ; PART III: THE NATURE AND USES OF PROBABILITY ; 7. Kinds of Probability ; 8. Constraints on Credence ; 9. Correlations and Causes ; PART IV: LOGICS AND THEORIES ; 10. Syntax and Semantics ; 11. Soundness and Completeness ; 12. Theories and Godel's Theorem