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A Structural Account of Mathematics

By: (Author) Charles S. Chihara

Manufacture on Demand

Ksh 13,200.00

Format: Hardback or Cased Book

ISBN-10: 0199267537

ISBN-13: 9780199267538

Publisher: Oxford University Press

Imprint: Oxford University Press

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Nov 20th, 2003

Print length: 394 Pages

Weight: 694 grams

Dimensions (height x width x thickness): 24.40 x 16.60 x 2.60 cms

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Charles Chihara's book develops 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. He also advances several new ways of undermining the Platonic view of mathematics.
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. Chihara builds 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 the project 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 Willard 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 serious misunderstandings.A Structural Account of Mathematics will be required reading for anyone working in this field.

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