Mathematical Thought and Its Objects

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Mathematical Thought and Its Objects

Mathematical Thought and Its Objects

Name: Mathematical Thought and Its Objects
ISBN: 9780521452793

Charles Parsons

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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. 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.

Catégories:

Mathematics

Année:

2008

Editeur::

Cambridge University Press

Langue:

english

Pages:

400

ISBN 10:

0521452791