Proof Theory

History and Philosophical Significance

Häftad, Engelska, 2010

AvVincent F. Hendricks,Stig Andur Pedersen,Klaus Frovin Jørgensen

1 389 kr

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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.

Produktinformation

Utgivningsdatum2010-12-05
Mått155 x 235 x 15 mm
Vikt417 g
FormatHäftad
SpråkEngelska
SerieSynthese Library
Antal sidor257
FörlagSpringer
ISBN9789048155538

Tillhör följande kategorier

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.