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Foundational Debate: Complexity and Constructivity in Mathematics and Physics Softcover reprint of hardcover 1st ed. 1995 [Pehme köide]

  • Formaat: Paperback / softback, 354 pages, kõrgus x laius: 235x155 mm, kaal: 639 g, XIV, 354 p., 1 Paperback / softback
  • Sari: Vienna Circle Institute Yearbook 3
  • Ilmumisaeg: 04-Dec-2010
  • Kirjastus: Springer
  • ISBN-10: 9048146178
  • ISBN-13: 9789048146178
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  • Formaat: Paperback / softback, 354 pages, kõrgus x laius: 235x155 mm, kaal: 639 g, XIV, 354 p., 1 Paperback / softback
  • Sari: Vienna Circle Institute Yearbook 3
  • Ilmumisaeg: 04-Dec-2010
  • Kirjastus: Springer
  • ISBN-10: 9048146178
  • ISBN-13: 9789048146178
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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Springer Book Archives
New Interpretations of Quantum Mechanics and the Theory of Knowledge.-
Experiment, Entanglement and the Foundations of Quantum Mechanics.-
Constructivism and Operationalism in the Foundations of Quantum Mechanics.-
Computability in Quantum Mechanics.- Levels of Physical Theories.- A
Constructivist Manifesto for the Physical Sciences Constructive
Re-Interpretation of Physical Undecidability.- How Far Can We Formalize
Language Games?.- What is a Random String?.- Strong Determinism vs.
Computability.- Capturing Relativized Complexity Classes with Lindström
Quantifiers.- Why Constructive Mathematics?.- Hypothetical Extensions of
Constructive Mathematics.- Constructions as the Subject Matter of
Mathematics.- Verificationism Then and Now.- Logic and Mathematics.- A
Connection between Leibniz Infinitely Small Quantities and the Analytical
Hierarchy.- Extensional Equality in the Classical Theory of Types.- Hans Hahn
and the Foundational Debate.- Crisis and Return of Intuition in Hans Hahns
Philosophy of Mathematics.- How Can or Should the Recent Developments in
Mathematics Influence the Philosophy of Mathematics?.- On the Vienna Circle
in Exile: An Eyewitness Report.- Philipp Frank and the German Physical
Society.- Reviews.- Vienna-Berlin-Prague: Centenaries Carnap, Reichenbach,
Zilsel.- Activities of the Institute Vienna Circle.- Survey 1995.- Preview
1996.- Index of Names.