Mathematical Thought and Its Objects
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Book Overview
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.
Format:Paperback
Language:English
ISBN:0521119111
ISBN13:9780521119115
Release Date:November 2009
Publisher:Cambridge University Press
Length:400 Pages
Weight:1.29 lbs.
Dimensions:0.9" x 6.0" x 9.0"
Related Subjects
Math Mathematics Philosophy Science Science & Math Science & Scientists Science & TechnologyCustomer Reviews
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