Proof theory : history and philosophical significance

edited by Vincent F. Hendricks, Stig Andur Pedersen and Klaus Frovin Jørgensen

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 program to its modern, highly articulated form. This volume is a collection of papers presented at the conference. It can be read with profit and pleasure by philosophers, mathematicians, computer scientists and scholars with no professional training in proof theory, provided they have a general knowledge of foundational issues.

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[目次]

  • 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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この本の情報

書名 Proof theory : history and philosophical significance
著作者等 Pedersen, Stig Andur
Jorgensen Klaus Frovin
Jørgensen Klaus Frovin
Hendricks Vincent F.
シリーズ名 Synthese library
出版元 Kluwer Academic
刊行年月 c2000
ページ数 xii, 244 p.
大きさ 25 cm
ISBN 0792365445
NCID BA48756189
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言語 英語
出版国 オランダ
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