A Structural Account of Mathematics (Paperback)

Idioma: inglés

Editorial: Oxford University Press, Oxford, 2007

0199228078 / 9780199228072

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Paperback. Charles Chihara's new book develops and defends a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. The view is used to show that, in order to understand how mathematical systems are applied in science and everyday life, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true.Chiharabuilds upon his previous work, in which he presented a new system of mathematics, the constructibility theory, which did not make reference to, or presuppose, mathematical objects. Now he develops theproject further by analysing mathematical systems currently used by scientists to show how such systems are compatible with this nominalistic outlook. He advances several new ways of undermining the heavily discussed indispensability argument for the existence of mathematical objects made famous by W. V. Quine and Hilary Putnam. And Chihara presents a rationale for the nominalistic outlook that is quite different from those generally put forward, which he maintains have led to seriousmisunderstandings.A Structural Account of Mathematics will be required reading for anyone working in this field. Presents a structural view of the nature of mathematics, and uses it to explain a number of features of mathematics that have puzzled philosophers. This work shows that, in order to understand how mathematical systems are applied in science, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

N° de ref. del artículo 9780199228072

Título
A Structural Account of Mathematics (Paperback)
Autor
Charles S. Chihara
Editorial
Oxford University Press, Oxford
Año de publicación
2007
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
0199228078
ISBN 13
9780199228072

CitiRetail

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Vendedor de AbeBooks desde 29 de junio de 2022

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