Overview
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.
Full Product Details
Author: Kit Fine (New York University)
Publisher: Oxford University Press
Imprint: Oxford University Press
Dimensions:
Width: 14.00cm
, Height: 1.30cm
, Length: 21.80cm
Weight: 0.285kg
ISBN: 9780199533633
ISBN 10: 0199533636
Pages: 214
Publication Date: 22 May 2008
Audience:
College/higher education
,
Undergraduate
,
Postgraduate, Research & Scholarly
Format: Paperback
Publisher's Status: Active
Availability: To order
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.
Reviews
<br> It is a great book. In demanding but always succinct prose, it presents a wealth of distinctions, insights, and arguments. --Oystein Linnebo, Australasian Journal of Philosophy<br>
"""It is a great book. In demanding but always succinct prose, it presents a wealth of distinctions, insights, and arguments.""--Oystein Linnebo, Australasian Journal of Philosophy ""It is a great book. In demanding but always succinct prose, it presents a wealth of distinctions, insights, and arguments.""--Oystein Linnebo, Australasian Journal of Philosophy ""It is a great book. In demanding but always succinct prose, it presents a wealth of distinctions, insights, and arguments.""--Oystein Linnebo, Australasian Journal of Philosophy"
Author Information
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.
