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Mathematical thought and its objects /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematical thought and its objects // Charles Parsons.
其他題名:	Mathematical Thought & its Objects
作者:	Parsons, Charles,
面頁冊數:	1 online resource (xx, 378 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Mathematics - Philosophy. -
電子資源:	https://doi.org/10.1017/CBO9780511498534
ISBN:	9780511498534 (ebook)

Mathematical thought and its objects /
Parsons, Charles,1933-

Mathematical thought and its objects /Mathematical Thought & its ObjectsCharles Parsons. - 1 online resource (xx, 378 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Objects and logic -- Structuralism and nominalism -- Modality and structuralism -- A problem about sets -- Intuition -- Numbers as objects -- Intuitive arithmetic and its limits -- Mathematical induction -- Reason.

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.

ISBN: 9780511498534 (ebook)Subjects--Topical Terms:

575254
Mathematics
--Philosophy.

LC Class. No.: QA8.4 / .P366 2008

Dewey Class. No.: 510.1

Mathematical thought and its objects /
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