Mathematical Thought and Its Objects
By (author) Charles Parsons
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Mathematical Thought and Its Objects by Charles Parsons
Book DescriptionCharles 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.
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Book DetailsISBN: 9780521452793
(228mm x 152mm x 25mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 24-Dec-2007
Country of Publication: United Kingdom
Books By Author Charles Parsons
Philosophy of Mathematics in the Twentieth Century, Hardback (March 2014)
In these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Godel, Russell, Quine, Putnam, Wang, and Tait.
Kurt Godel, Paperback (June 2013)
Papers examining aspects of Godel's work gathered from a symposium celebrating Godel's centennial and papers from a 2004 ASL symposium.
From Kant to Husserl, Hardback (March 2012)
In From Kant to Husserl, Charles Parsons examines a wide range of historical opinion on philosophical questions from mathematics to phenomenology. Amplifying his early ideas on Kant's philosophy of arithmetic, the author then turns to reflections on Frege, Brentano, and Husserl.
Scientific Papers of William Parsons, Third Earl of Rosse 1800-1867, Paperback (October 2011)» View all books by Charles Parsons
This collection of scientific papers by William Parsons, third Earl of Rosse, a distinguished astronomer, was published in 1926.
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Author Biography - Charles Parsons
Charles Parsons holds an AB (mathematics) and PhD (philosophy) from Harvard University and studied for a year at King's College, Cambridge. He was on the faculty at Harvard University from 1962-5 and 1989-2005 and at Columbia University from 1965-89. His publications are mainly in logic, philosophy of mathematics, and Kant. He was an editor of the posthumous works of Kurt Godel (Collected Works, Volumes III-V).
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