Proof Theory

History and Philosophical Significance

AvVincent F. Hendricks,Stig Andur Pedersen

Inbunden, Engelska, 2000

Del i serien Synthese Library

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2000-09-30
Mått:156 x 234 x 20 mm
Vikt:582 g
Format:Inbunden
Språk:Engelska
Serie:Synthese Library
Antal sidor:257
Upplaga:2000
Förlag:Kluwer Academic Publishers
ISBN:9780792365440

Utforska kategorier

Matematikens grunder inom Naturvetenskap och teknik

Innehållsförteckning

1. Review of Proof Theory.- Highlights in Proof Theory.- 2. The Background of Hilbert’s Proof Theory.- The Empiricist Roots of Hilbert’s Axiomatic Approach.- The Calm Before the Storm: Hilbert’s Early Views on Foundations.- Toward Finitist Proof Theory.- 3. Brouwer and Weyl on Proof Theory and Philosophy of Mathematics.- The Development of Brouwer’s Intuitionism.- Did Brouwer’s Intuitionistic Analysis Satisfy its own Epistemological Standards?.- The Significance of Weyl’s Das Kontinuum.- Herman Weyl on the Concept of Continuum.- 4. Modern Views and Results from Proof Theory.- Relationships between Constructive, Predicative and Classical Systems of Analysis.