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Charles Parsons 作者

Cambridge University Press

待译译者

(December 24, 2007) 出版日期

378 页数

92.00USD 价格

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丛书系列

9780521119115 图书编码

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Mathematical Thought and Its Objects 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Mathematical Thought and Its Objects 在线电子书著者简介

Preface; 1. Objects and logic; 2. Structuralism and nominalism; 3. Modality and structuralism; 4. A problem about sets; 5. Intuition; 6. Numbers as objects; 7. Intuitive arithmetic and its limits; 8. Mathematical induction; 9. Reason.

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Mathematical Thought and Its Objects 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Mathematical Thought and Its Objects 在线电子书图书描述

Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a ‘nature’ than that confers on them. Parsons also analyzes the concept of intuition and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite.

• Treatment of the notion of object in mathematics motivated by a general idea about objects • Analysis of the concept of intuition and development of a particular conception of it • Attempt to balance the intuitive, conceptual and rational in mathematical thought

http://www.cup.cam.ac.uk/us/catalogue/catalogue.asp?isbn=0521452791

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