Mathematical Thought and Its Objects
Book Details
Format
Paperback / Softback
ISBN-10
0521119111
ISBN-13
9780521119115
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 17th, 2009
Print length
400 Pages
Weight
610 grams
Dimensions
22.90 x 15.40 x 2.70 cms
Product Classification:
Philosophy of mathematicsPhilosophy of science
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In Mathematical Thought and its Objects, 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.
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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