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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Science: general issues Philosophy of science

• Full title: Mathematical Thought and its Objects
• Author: Charles Parsons
• Language: English
• Binding: Paperback
• Number of pages: 400
• EAN: 9780521119115
• ISBN: 0521119111
• ID: 04090511
• Publisher: Cambridge University Press
• Weight: 610 g
• Dimensions: 230 × 153 × 25 mm
• Date of publishing: 17. September 2009

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