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The Limits of Abstraction
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The Limits of Abstraction Paperback - 2008

by Kit Fine

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From the publisher

What is abstraction? To what extent can it account for the existence and identity of abstract objects? And to what extent can it be used as a foundation for mathematics? Kit Fine provides rigorous and systematic answers to these questions along the lines proposed by Frege, in a book concerned both with the technical development of the subject and with its philosophical underpinnings.

Fine proposes an account of what it is for a principle of abstraction to be acceptable, and these acceptable principles are exactly characterized. A formal theory of abstraction is developed and shown to be capable of providing a foundation for both arithmetic and analysis. Fine argues that the usual attempts to see principles of abstraction as forms of stipulative definition have been largely unsuccessful but there may be other, more promising, ways of vindicating the various forms of contextual definition.

The Limits of Abstraction breaks new ground both technically and philosophically, and will be essential reading for all who work on the philosophy of mathematics.

Details

  • Title The Limits of Abstraction
  • Author Kit Fine
  • Binding Paperback
  • Pages 214
  • Volumes 1
  • Language ENG
  • Publisher OUP Oxford, Clarendon Press
  • Publication date 2008-07-15
  • Features Bibliography, Index, Table of Contents
  • ISBN 9780199533633 / 0199533636
  • Weight 0.6 lbs (0.27 kg)
  • Dimensions 8.4 x 5.4 x 0.6 in (21.34 x 13.72 x 1.52 cm)
  • Category Mathematics
  • Dewey Decimal Code 510.1

About the author

Kit Fine is Silver Professor of Philosophy at New York University, specializing in Metaphysics, Logic, and Philosophy of Language. He has held fellowships from the Guggenheim Foundation and the American Council of Learned Societies and is a former editor of the Journal of Symbolic Logic. He is the author (with A. N. Prior) of Worlds, Times and Selves (Duckworth, 1977) and Reasoning with Arbitrary Objects (Blackwell, 1985) and has written papers in ancient philosophy, linguistics, computer science, and economic theory.

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The Limits of Abstraction
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The Limits of Abstraction

by Kit Fine

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Paperback / softback. New. Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. The Limits of Abstraction breaks new ground both technically and philosophically.
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The Limits of Abstraction

The Limits of Abstraction

by Kit Fine

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Paperback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various m
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The Limits of Abstraction

The Limits of Abstraction

by Kit Fine

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ISBN 10 / ISBN 13
9780199533633 / 0199533636
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Paperback / softback. New. Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. The Limits of Abstraction breaks new ground both technically and philosophically.
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A$82.71
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The Limits of Abstraction
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The Limits of Abstraction

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The Limits of Abstraction

by Fine, Kit

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Paperback
ISBN 10 / ISBN 13
9780199533633 / 0199533636
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