The Limits of Abstraction 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Fine, Kit 作者

译者

2008-7 出版日期

214 页数

$ 33.88 价格

丛书系列

9780199533633 图书编码

The Limits of Abstraction 在线电子书图书标签: 数学哲学哲学

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The Limits of Abstraction 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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The Limits of Abstraction 在线电子书图书描述

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.

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