The Limits of Abstraction download PDF, EPUB, Kindle
The Limits of Abstraction download PDF, EPUB, Kindle
The Limits of Abstraction by Department of Philosophy Kit Fine
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Author: Department of Philosophy Kit Fine
Number of Pages: 214 pages
Published Date: 15 Jul 2008
Publisher: Oxford University Press
Publication Country: Oxford, United Kingdom
Language: English
ISBN: 9780199533633
File size: 11 Mb
Download Link: The Limits of Abstraction
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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.
Read online The Limits of Abstraction Buy and read online The Limits of Abstraction Download The Limits of Abstraction ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook The Limits of Abstraction
XML for Catalogers and Metadatalibrarians book
The Limits of Abstraction by Department of Philosophy Kit Fine
Author: Department of Philosophy Kit Fine
Number of Pages: 214 pages
Published Date: 15 Jul 2008
Publisher: Oxford University Press
Publication Country: Oxford, United Kingdom
Language: English
ISBN: 9780199533633
File size: 11 Mb
Download Link: The Limits of Abstraction
---------------------------------------------------------------
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.
Read online The Limits of Abstraction Buy and read online The Limits of Abstraction Download The Limits of Abstraction ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook The Limits of Abstraction
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