Non-Fiction Books:

The Limits of Abstraction

Format

Hardback

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The Limits of Abstraction by Kit Fine
$257.99
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Description

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 that 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 is essential reading for all those working on the philosophy of mathematics.

Author Biography

Kit Fine is Professor of Philosophy at New York University.
Release date NZ
September 1st, 2002
Author
Country of Publication
United Kingdom
Imprint
Clarendon Press
Pages
216
Dimensions
145x224x18
ISBN-13
9780199246182
Product ID
1859667

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