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Mathematical Thought and Its Objects


Mathematical Thought and Its Objects

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    Available in PDF Format | Mathematical Thought and Its Objects.pdf | English
    Charles Parsons(Author)
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.

'This complete presentation of structuralism as a foundation programme in the philosophy of mathematics enriches significantly the debate and anyone interested in this area of studies will need to consider its relevance.' Minds & Machines

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Book details

  • PDF | 400 pages
  • Charles Parsons(Author)
  • Cambridge University Press; 1 edition (6 Nov. 2009)
  • English
  • 6
  • Science & Nature

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