The Foundational Debate Complexity and Constructivity in Mathematics and Physics

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 appr...

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Bibliographic Details
Other Authors: DePauli-Schimanovich, Werner (Editor), Köhler, Eckehart (Editor), Stadler, F. (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1995, 1995
Edition:1st ed. 1995
Series:Vienna Circle Institute Yearbook, Institute Vienna Circle, University of Vienna Vienna Circle Society, Society for the Advancement of Scientific World Conceptions
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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 Hahn’s 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