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Mathematical Thought and Its Objects

Mathematical Thought and Its Objects

Paperback

PhilosophyGeneral MathematicsHistory & Philosophy of Science

ISBN10: 0521119111
ISBN13: 9780521119115
Publisher: Cambridge University Press
Published: Sep 17 2009
Pages: 400
Weight: 1.29
Height: 0.89 Width: 6.00 Depth: 9.00
Language: English
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.

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