Mathematical Thought and Its Objects 2024 pdf epub mobi 电子书

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发表于2024-12-30

Mathematical Thought and Its Objects 2024 pdf epub mobi 电子书

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出版者:

作者:Parsons, Charles

出品人:

页数:398

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出版时间:2007-12

价格:$ 128.82

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isbn号码:9780521452793

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Mathematical Thought and Its Objects 2024 pdf epub mobi 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.

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