Abstract
John von Neumann met Kurt Gödel. It was at a 1930 conference in Königsberg in a discussion of von Neumann’s talk that Gödel for the first time in public mentioned his incompleteness theorem. Von Neumann in his 1932 book on quantum mechanics introduced the quantum measurement problem to the physics literature. The main question of this paper is: Is Gödel’s incompleteness theorem related in any way to the quantum measurement problem? Is perhaps self-reference at the heart of both?
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Albert D.Z.: 1987, Philosphy of Science, 57, 577.
Breuer T.: 1995, Philosophy of Science, 62, 197.
Breuer T.: 1996, Synthese, 107, 1.
Belavkin V.P.: 1990, Journal of Mathematical Physics, 31, 2930.
de Espagnat B.: 1966, Nuovo Cimento Suppl, 4, 828.
Diôsi L.: 1988, Journal of Physics A, 21, 2885.
Finkelstein D.: 1988, Finite Physics’, in R.Herken, ed., The Universal Turing Machine. A Half- Century Survey. Oxford, Oxford University Press.
Gisin N.: Physical Review Letters 52,1657.
Holevo A.S.: 1991, in C. Bendjaballah et al. 1991, Quantum Aspects of Optical Communication, Lecture Notes in Physics, Vol. 378. Heidelberg, Springer; 127–137.
London F., Bauer E.: 1939, La Théorie de L’Observation en Mécanique Quantique. Paris, Hermann. von Neumann J.: 1932, Mathematische Grundlagen der Quantenmechanik. Berlin, Springer.
Primas H.: 1990, in J Audretsch, K. Mainzer, eds, Wieviele Leben hat Schrödingers Katze
Mannheim, BI-Wissenschaftsverlag; 209–243.
Rössler O.E.: 1987, Endophysics’, in J.L.Casti, A. Karlqvist, eds., Real Brains — Artificial Minds. New York, North-Holland; 25–46.
Svozil K.: 1993, Randomness and Undecidability in Physics. Singapore, World Scientific. Zeh H.D.: 1970, Foundations of Physics, 1, 69.
Zurek W.H.: 1982, Physical Review D, 26, 1862.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Breuer, T. (1999). John von Neumann Met Kurt Gödel: Undecidable Statements in Quantum Mechanics. In: Chiara, M.L.D., Giuntini, R., Laudisa, F. (eds) Language, Quantum, Music. Synthese Library, vol 281. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2043-4_15
Download citation
DOI: https://doi.org/10.1007/978-94-017-2043-4_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5229-2
Online ISBN: 978-94-017-2043-4
eBook Packages: Springer Book Archive