Matches in SemOpenAlex for { <https://semopenalex.org/work/W35353041> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W35353041 endingPage "506" @default.
- W35353041 startingPage "497" @default.
- W35353041 abstract "This paper argues that von Neumann’s work on the theory of ‘rings of operators’ has the same role and significance for quantum probability theory that Kolmogorov and his work represents for classical probability theory: Kolmogorov established classical probability theory as part of classical measure theory (Kolmogorov 1933); von Neumann established quantum probability theory as part of non-classical (non-commutative)measure theory based on von Neumann algebras (1935–1940). Since the quantum probability theory based on general von Neumann algebras contains as a special case the classical probability theory (Sect. 36.2), there is a very tight conceptual-structural similarity between classical and quantum probability theory. But there is a major interpretational dissimilarity between classical and quantum probability: a straightforward frequency interpretation of non-classical probability is not possible (Sect. 36.3). A possible way of making room for a frequency interpretation of quantum probability theory is to accept the so-called Kolmogorovian Censorship Hypothesis, which can be shown to hold for quantum probability theories based on the theory of von Neumann algebras (Sect. 36.4), which however has both technical weaknesses and philosophical ramifications that are unattractive, as will be seen in Sect. 36.4." @default.
- W35353041 created "2016-06-24" @default.
- W35353041 creator A5081039593 @default.
- W35353041 date "2012-01-01" @default.
- W35353041 modified "2023-09-25" @default.
- W35353041 title "Some Historical and Philosophical Aspects of Quantum Probability Theory and its Interpretation" @default.
- W35353041 cites W108925315 @default.
- W35353041 cites W1978826851 @default.
- W35353041 cites W1984376813 @default.
- W35353041 cites W2004971067 @default.
- W35353041 cites W2033173388 @default.
- W35353041 cites W2052086504 @default.
- W35353041 cites W2065734030 @default.
- W35353041 cites W2108679268 @default.
- W35353041 cites W2153151280 @default.
- W35353041 cites W2218614256 @default.
- W35353041 cites W2318358641 @default.
- W35353041 cites W2331578546 @default.
- W35353041 cites W4241467129 @default.
- W35353041 cites W4241624857 @default.
- W35353041 cites W4255483893 @default.
- W35353041 cites W959806041 @default.
- W35353041 doi "https://doi.org/10.1007/978-94-007-3030-4_36" @default.
- W35353041 hasPublicationYear "2012" @default.
- W35353041 type Work @default.
- W35353041 sameAs 35353041 @default.
- W35353041 citedByCount "11" @default.
- W35353041 countsByYear W353530412014 @default.
- W35353041 countsByYear W353530412015 @default.
- W35353041 countsByYear W353530412016 @default.
- W35353041 countsByYear W353530412017 @default.
- W35353041 countsByYear W353530412022 @default.
- W35353041 crossrefType "book-chapter" @default.
- W35353041 hasAuthorship W35353041A5081039593 @default.
- W35353041 hasBestOaLocation W353530412 @default.
- W35353041 hasConcept C105795698 @default.
- W35353041 hasConcept C11255438 @default.
- W35353041 hasConcept C118615104 @default.
- W35353041 hasConcept C121332964 @default.
- W35353041 hasConcept C122203268 @default.
- W35353041 hasConcept C15184713 @default.
- W35353041 hasConcept C165973109 @default.
- W35353041 hasConcept C199360897 @default.
- W35353041 hasConcept C202444582 @default.
- W35353041 hasConcept C207046469 @default.
- W35353041 hasConcept C21031990 @default.
- W35353041 hasConcept C33923547 @default.
- W35353041 hasConcept C41008148 @default.
- W35353041 hasConcept C527412718 @default.
- W35353041 hasConcept C62520636 @default.
- W35353041 hasConcept C80469333 @default.
- W35353041 hasConcept C84114770 @default.
- W35353041 hasConcept C94231801 @default.
- W35353041 hasConceptScore W35353041C105795698 @default.
- W35353041 hasConceptScore W35353041C11255438 @default.
- W35353041 hasConceptScore W35353041C118615104 @default.
- W35353041 hasConceptScore W35353041C121332964 @default.
- W35353041 hasConceptScore W35353041C122203268 @default.
- W35353041 hasConceptScore W35353041C15184713 @default.
- W35353041 hasConceptScore W35353041C165973109 @default.
- W35353041 hasConceptScore W35353041C199360897 @default.
- W35353041 hasConceptScore W35353041C202444582 @default.
- W35353041 hasConceptScore W35353041C207046469 @default.
- W35353041 hasConceptScore W35353041C21031990 @default.
- W35353041 hasConceptScore W35353041C33923547 @default.
- W35353041 hasConceptScore W35353041C41008148 @default.
- W35353041 hasConceptScore W35353041C527412718 @default.
- W35353041 hasConceptScore W35353041C62520636 @default.
- W35353041 hasConceptScore W35353041C80469333 @default.
- W35353041 hasConceptScore W35353041C84114770 @default.
- W35353041 hasConceptScore W35353041C94231801 @default.
- W35353041 hasLocation W353530411 @default.
- W35353041 hasLocation W353530412 @default.
- W35353041 hasOpenAccess W35353041 @default.
- W35353041 hasPrimaryLocation W353530411 @default.
- W35353041 hasRelatedWork W2121834113 @default.
- W35353041 hasRelatedWork W2252757595 @default.
- W35353041 hasRelatedWork W2486509824 @default.
- W35353041 hasRelatedWork W2533783885 @default.
- W35353041 hasRelatedWork W2786937093 @default.
- W35353041 hasRelatedWork W3103874269 @default.
- W35353041 hasRelatedWork W3121836338 @default.
- W35353041 hasRelatedWork W35353041 @default.
- W35353041 hasRelatedWork W4255248422 @default.
- W35353041 hasRelatedWork W4287023003 @default.
- W35353041 isParatext "false" @default.
- W35353041 isRetracted "false" @default.
- W35353041 magId "35353041" @default.
- W35353041 workType "book-chapter" @default.