The Foundational Debate: Complexity and Constructivity in Mathematics and Physics

The Foundational Debate: Complexity and Constructivity in Mathematics and Physics (2010)

Vienna Circle Institute Yearbook

Author: Werner DePauli-Schimanovich
Edited: Eckehart Köhler and Friedrich Stadler
Publisher: Springer
Language: English
Publication: 04 December 2010
ISBN10: 9048146178
ISBN13: 9789048146178

Description:

Constructibility and complexity play central roles in recent research in computer science, mathematics and physics. For example, scientists are investigating the complexity of computer programs, constructive proofs in mathematics and the randomness of physical processes. But there are different approaches to the explication of these concepts. This volume presents important research on the state of this discussion, especially as it refers to quantum mechanics.
This `foundational debate‘ in computer science, mathematics and physics was already fully developed in 1930 in the Vienna Circle. A special section is devoted to its real founder Hans Hahn, referring to his contribution to the history and philosophy of science. The documentation section presents articles on the early Philipp Frank and on the Vienna Circle in exile. Reviews cover important recent literature on logical empiricism and related topics.

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