## Proceedings of the International School of Physics "Enrico Fermi.", Volume 72N. Zanichelli, 1979 - Nuclear physics |

### From inside the book

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Page 125

Toward a Generalized

Istituto di Scienze Fisiche deli I'nirersita - Genova Ixtituto Sazionale di Fisica

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Toward a Generalized

**Probability Theory**: Conditional Probabilities. G. CassinelliIstituto di Scienze Fisiche deli I'nirersita - Genova Ixtituto Sazionale di Fisica

Xwleare - Sezione di (itnova P. Truest Sc,u,la di Perjezionamento in Fisica ...

Page 128

Think of a classical probability space: the set of all complex random variables has

a natural structure of commutative ... The noncommutative extension of classical

Think of a classical probability space: the set of all complex random variables has

a natural structure of commutative ... The noncommutative extension of classical

**probability theory**is obtained by dropping out the commutativity property of the ...Page 129

ingful to develop the generalized

lattice theoretically, without reference to noncommutative theory on algebras, for

two reasons at least. The first is that an orthomodular lattice in general cannot be

...

ingful to develop the generalized

**probability theory**, defined in sect. 1, purelylattice theoretically, without reference to noncommutative theory on algebras, for

two reasons at least. The first is that an orthomodular lattice in general cannot be

...

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### Contents

E Amaldi Radioactivity a pragmatic pillar of probabilistic | 1 |

Statistical fluctuations | 10 |

Final remarks | 21 |

Copyright | |

24 other sections not shown

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### Common terms and phrases

3-geometry algebra applied assertion atoms axioms Boolean Borel field Borel sets calculus concept conditional probability conditionalization consider corresponding countable course defined definition denote derived deterministic dialog dialog-game disjoint dynamics edited Einstein elements equation equivalent exists experiment finite formal function geometry given Gleason's theorem Hence Hilbert space implies induction initial interaction interpretation irreversible Journ linear magnitude Math mathematical means Neumann non-Boolean notion observable orthogonal orthomodular lattice particle photon Phys physical quantity physical system physical theories physicists positive precision probabilistic probability measure probability space probability theory problem procedure quantum logic quantum mechanics quantum theory quantum-logical question radioactive random variable real numbers relation relative frequency relf represented respect result rule sequence space-time special relativity spin statistical operator subset subspace superspace theorem tion transformation truth universal constants vector velocity von Neumann algebra zero