The foundational debate

Repository | Series | Book

Springer, Dordrecht

1995

354 Pages

ISBN 978-90-481-4617-8

Vienna Circle Institute Yearbook
vol. 3

The foundational debate

complexity and constructivity in mathematics and physics

Edited by

Werner Depauli Schimanovich , Eckehart Köhler , Friedrich Stadler

Publication details

DOI: 10.1007/978-94-017-3327-4

Full citation:

Depauli Schimanovich, W. , Köhler, E. , Stadler, F. (eds) (1995). The foundational debate: complexity and constructivity in mathematics and physics, Springer, Dordrecht.

Table of Contents

New interpretations of quantum mechanics and the theory of knowledge

Omnès Roland

1-11

Experiment, entanglement and the foundations of quantum mechanics

Zeilinger Anton

13-19

Constructivism and operationalism in the foundations of quantum mechanics

Cattaneo Giulio

21-31

Computability in quantum mechanics

Myrvold Wayne C.

33-46

Levels of physical theories

Stöltzner Michael

47-64

A constructivist manifesto for the physical sciences — constructive re-interpretation of physical undecidability

Svozil Karl

65-88

How far can we formalize language games?

Parikh Rohit

89-100

What is a random string?

Calude Cristian

101-113

Strong determinism vs. computability

Calude Cristian; Campbell Douglas; Svozil Karl; Ştefănescu Doru

115-131

Capturing relativized complexity classes with Lindström quantifiers

Makowsky Janos A.

133-140

Why constructive mathematics?

Dirk van Dalen

141-157

Hypothetical extensions of constructive mathematics

Krauss Peter H.

159-174

Constructions as the subject matter of mathematics

Tichý Pavel

175-185

Verificationism then and now

Martin-Löf Per

187-196

Logic and mathematics

Woleński Jan

197-210

A connection between Leibniz' infinitely small quantities and the analytical hierarchy

Čuda Karel

211-218

Extensional equality in the classical theory of types

Tait William W.

219-234

Hans Hahn and the foundational debate

Sigmund Karl

235-245

Crisis and return of intuition in Hans Hahn's philosophy of mathematics

Oeser Erhard

247-258

How can or should the recent developments in mathematics influence the philosophy of mathematics?

Reichel Hans-Christian

259-268

On the Vienna circle in exile

Holton Gerald

269-292

Philipp Frank and the German physical society

Stöltzner Michael

293-302

[Review] Barry Smith, Austrian philosophy

303-304

[Review] Gustav Bergmann, New foundations of ontology

Smith Barry

304-306

[Review] Kurt Baier, The rational and the moral order

Czaniera Uwe

306-310

[Review] Thomas Oberdan, Protocols, truth and convention

Uebel Thomas

310-313

[Review] Julian B. Barbour, Herbert Pfister, Mach's principle

Stöltzner Michael

313-315

Vienna-Berlin-Prague

Stöltzner Michael

317-342

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