The Limits of Abstraction (Paperback)

Kit Fine

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Language: English

Published by Oxford University Press, Oxford, 2008

0199533636 / 9780199533633

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Paperback. 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 ofabstraction 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 arithmeticand 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. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Seller Inventory # 9780199533633

Title
The Limits of Abstraction (Paperback)
Author
Kit Fine
Publisher
Oxford University Press, Oxford
Publication year
2008
Condition
new
Binding
Paperback
Language
English
ISBN 10
0199533636
ISBN 13
9780199533633

CitiRetail

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AbeBooks seller since June 29, 2022

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