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Yearbook 3/1995
The Foundational Debate Constructivity and Complexity in Mathematics and Physics
Eds.:Eckehart Köhler, Werner DePauli-Schimanovich, Friedrich Stadler

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Beginning

Table of Contents

Editorial

IX

Articles

The Foundational Debate

I. Physics

Roland Omnès , New Interpretations of Quantum Mechanics and the
  Theory of Knowledge
1
Anton Zeilinger , Experiment, Entanglement and the Foundations of Quantum Mechanics 13
G. Cattaneo, M.L. Dalla Chiara, R. Giuntini , Constructivism and Operationalism in the
  Foundations of Quantum Mechanics
21
Wayne C. Myrvold, Computability in Quantum Mechanics 33
Michael Stöltzner, Levels of Physical Theories 47
Karl Svozil , A Constructivist Manifesto for the Physical Sciences -- Constructive
  Re-Interpretation of Physical Undecidability
65

II. Complexity

Rohit Parikh , How Far Can We Formalize Language Games? 89
Cristian Calude , What is a Random String? 101
Cristian Calude, Douglas I. Campbell, Karl Svozil, Doru Stefanescu , Strong
  Determinism vs. Computability
115
Janos A. Makowsky , Capturing Relativized Complexity Classes with Lindströom
  Quantifiers
131

III. Constructivism

Dirk van Dalen, Why Constructive Mathematics? 141
Peter H. Krauss, Hypothetical Extensions of Constructive Mathematics 159
Pavel Tichy, Constructions as the Subject Matter of Mathematics 173
Per Martin-Löof, Verificationism Then and Now 187
Jan Wolénski, Logic and Mathematics 197
Karel Cuda, A Connection between Leibniz' Infinitely Small Quantities and the Analytical
  Hierarchy
211
William W. Tait, Extensional Equality in the Classical Theory of Types 219

IV. Hans Hahn

Karl Sigmund, Hans Hahn and the Foundational Debate 235
Erhard Oeser , Crisis and Return of Intuition in Hans Hahn's Philosophy of Mathematics 247
Hans-Christian Reichel, How Can or Should the Recent Developments in Mathematics
  Influence the Philosophy of Mathematics?
259

Report --- Documentation

Gerald Holton, On the Vienna Circle in Exile: An Eyewitness Report 269
Michael Stötzner, Philipp Frank and the German Physical Society 293

Reviews

Barry Smith: Austrian Philosophy. The Legacy of Franz Brentano, Chicago 1994.
  (Kurt Rudolf Fischer)
303
Gustav Bergmann: New Foundations of Ontology, edited by William Heald,
  Madison 1992 (Barry Smith)
304
Kurt Baier: The Rational and the Moral Order. The Social Roots of Reason and Morality,
  Chicago 1995. (Uwe Czaniera)
306
Thomas Oberdan: Protocols, Truth and Conventio, Amsterdam 1993. (Thomas E. Uebel) 310
Julian B. Barbour, Herbert Pfister: Mach's Principle: From Newton's Bucket to
  Quantum Gravity, Boston 1995. (Michael Stöltzner)
313

Review Essay

Michael Stötzner, Vienna--Berlin--Prague: Centenaries Carnap, Reichenbach, Zilsel 317

Activities of the Institute Vienna Circle

Survey 1995
Preview 1996
Index of Names
343
345
 347