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The Logic of Quantum Mechanics
Abstract
One of the aspects of quantum theory which has attracted the most general attention, is the novelty of the logical notions which it presupposes. It asserts that even a complete mathematical description of a physical system S does not in general enable one to predict with certainty the result of an experiment on S, and that in particular one can never predict with certainty both the position and the momentum of S, (Heisenberg’s Uncertainty Principle). It further asserts that most pairs of observations are incompatible, and cannot be made on S, simultaneously (Principle of Non-commutativity of Observations).
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Citations
Cited by
Decoherence, einselection, and the quantum origins of the classical
Zurek, W. H. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.715 · Cited by 4,295
An operational approach to quantum probability
Davies, E. B., & Lewis, J. T. (1970) · Communications in Mathematical Physics · doi:10.1007/bf01647093 · Cited by 888
MAYS, W. (1971) · Philosophical Books · doi:10.1111/j.1468-0149.1971.tb00536.x · Cited by 802
Consistent interpretations of quantum mechanics
Omnès, R. (1992) · Reviews of Modern Physics · doi:10.1103/revmodphys.64.339 · Cited by 648
The Geometry of Information Retrieval
van Rijsbergen, C. J. (2004) · Cambridge University Press eBooks · doi:10.1017/cbo9780511543333 · Cited by 394
Metadata
- Authors
- Birkhoff, G., & Neumann, J. V.
- Venue
- The Annals of Mathematics
- Publisher
- JSTOR
- Published
- 1936-10
- Volume
- 37
- Issue
- 4
- Pages
- 823
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W3126996113
- Cited by
- 2,831
- References
- 0
- FWCI
- 3.91
- Type
- journal article
- Language
- en
- Open access
- closed
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Cite CoChat for the checks on this page, and the paper for its own findings.
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- CoChat. (2026). Citation check: The Logic of Quantum Mechanics. https://app.cochat.ai/papers/10.2307/1968621
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- Birkhoff, G., & Neumann, J. V. (1936). The Logic of Quantum Mechanics. The Annals of Mathematics. https://doi.org/10.2307/1968621
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
