A Structural Account of Mathematics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Chihara, Charles S. 作者

Oxford Univ Pr

译者

2007-7 出版日期

396 页数

$ 50.85 价格

Pap

丛书系列

9780199228072 图书编码

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发表于2024-09-21

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A Structural Account of Mathematics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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A Structural Account of Mathematics 在线电子书图书描述

Charles Chihara's new book develops and defends a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. The view is used to show that, in order to understand how mathematical systems are applied in science and everyday life, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true. Chihara builds upon his previous work, in which he presented a new system of mathematics, the constructibility theory, which did not make reference to, or presuppose, mathematical objects. Now he develops the project further by analysing mathematical systems currently used by scientists to show how such systems are compatible with this nominalistic outlook. He advances several new ways of undermining the heavily discussed indispensability argument for the existence of mathematical objects made famous by W. V. Quine and Hilary Putnam. And Chihara presents a rationale for the nominalistic outlook that is quite different from those generally put forward, which he maintains have led to serious misunderstandings. A Structural Account of Mathematics will be required reading for anyone working in this field.

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