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Mathematical Thought and Its Objects. 数学思想とその対象
・ISBN 978-0-521-45279-3 2008 hard GB£ 72.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-49853-4
| 著者・編者 | Parsons, Charles, |
|---|---|
| 出版社 | (Cambridge U. Pr., UK) |
| ページ数 | xx, 378 pp. |
| 言語 | ENG |
| ニュース番号 | ＜549-85＞ |
解説
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.