The Foundational Debate: Complexity and Constructivity in Mathematics and Physics

ISBN-13: 9789048146178 / Angielski / Miękka / 2010 / 354 str.

Werner Depauli-Schimanovich; Eckehart Kohler; F. Stadler

Opis

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.

Spis treści

Brief Editorial. Articles: The foundational debate. I. Physics. II. Complexity. III. Constructivism. IV. Hans Hahn. Report - Documentation. Reviews. Review Essay: Vienna-Berlin-Prague: Centenaries Carnap, Reichenbach, Zilsel; M. Stölzner. Activities of the Institute Vienna Circle. Index of names.