Constructibility and Mathematical Existence
By (author) Charles S. Chihara
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Constructibility and Mathematical Existence by Charles S. Chihara
Book DescriptionThis book is concerned with 'the problem of existence in mathematics'. It develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things. It explores the philosophical implications of such an approach in an examination of the writings of Field, Burgess, Maddy, Kitcher, and others.
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Book DetailsISBN: 9780198248170
(224mm x 143mm x 23mm)
Imprint: Clarendon Press
Publisher: Oxford University Press
Publish Date: 12-Apr-1990
Country of Publication: United Kingdom
Books By Author Charles S. Chihara
Structural Account of Mathematics, Paperback (May 2007)
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.
Worlds of Possibility, Paperback (October 2001)
A critical exposition of modal realism, the philosophical doctrine that there exists many possible worlds of which the actual world is just one. It argues for modality without worlds and offers an account of the role of interpretations or structures of the formal languages of logic.
Constructibility and Mathematical Existence, Paperback (June 1991)» View all books by Charles S. Chihara
Concerned with the problem of existence in mathematics, this volume develops a mathematical system in which there are no existence assertions but only assertions of constructibility. It explores the philosophical implications of such an approach in the writings of Field, Burgess, Maddy and Kitcher.
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