Overview

The conference on ""Proof Theory: History and Philosophical Significance"" held in 1997 at the University of Roskilde, Denmark, tracked the history of proof theory and its role in the analysis of the philosophical foundations of mathematics since Hilbert's original programme to its modern, highly articulated form. This volume is a collection of papers presented at the conference. It should be of interest by philosophers, mathematicians, computer scientists and scholars with no professional training in proof theory, provided they have a general knowledge of foundational issues.

Full Product Details

Author:   Vincent F. Hendricks ,  Stig Andur Pedersen ,  Klaus Frovin Jørgensen
Publisher:   Springer
Imprint:   Springer
Edition:   2000 ed.
Volume:   292
Dimensions:   Width: 15.60cm , Height: 1.70cm , Length: 23.40cm
Weight:   1.210kg
ISBN:  

9780792365440

ISBN 10:   0792365445
Pages:   257
Publication Date:   30 September 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Preface. Contributing Authors. Introduction. Part 1: Review of Proof Theory. Highlights in Proof Theory; S. Feferman. Part 2: The Background of Hilbert's Proof Theory. The Empiricist Roots of Hilbert's Axiomatic Approach; L. Corry. The Calm Before the Storm: Hilbert's Early Views on Foundations; D. Rowe. Toward Finitist Proof Theory; W. Sieg. Part 3: Brouwer and Weyl on Proof Theory and Philosophy of Mathematics. The Development of Brouwer's Intuitionism; D. van Dalen. Did Brouwer's Intuitionistic Analysis Satisfy its own Epistemological Standards? M. Epple. The Significance of Weyl's Das Kontinuum; S. Feferman. Herman Weyl on the Concept of Continuum; E. Scholz. Part 4: Modern Views and Results from Proof Theory. Relationships between Constructive, Predicative and Classical Systems of Analysis; S. Feferman. Index.

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