Mathematical Thought and Its Objects 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Charles Parsons 作者

Cambridge University Press

待譯譯者

(December 24, 2007) 出版日期

378 頁數

92.00USD 價格

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9780521119115 圖書編碼

Mathematical Thought and Its Objects 在線電子書圖書標籤: 數學

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發表於2024-07-01

Mathematical Thought and Its Objects 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Mathematical Thought and Its Objects 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Mathematical Thought and Its Objects 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Mathematical Thought and Its Objects 在線電子書著者簡介

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.

Mathematical Thought and Its Objects 在線電子書著者簡介

Mathematical Thought and Its Objects 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Mathematical Thought and Its Objects 在線電子書圖書描述

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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