Mathematical Thought and Its Objects

Charles Parsons

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Author
Charles Parsons
Publish Date
2007-12-24
Book Type
Hardcover
Number of Pages
400
Publisher Name
Cambridge University Press
ISBN-10
0521452791
ISBN-13
9780521452793
citemno
122938
SKU
9780521452793

Description

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. 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.