Abstract

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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