Mathematical Thought and Its Objects



Mathematical Thought and Its Objects
Publisher: Cambridge University Press | ISBN: 0521452791 | edition 2007 | File type: PDF | 398 pages | 1,7 mb

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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