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

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Page 33

This analytical representation is generally referred to as Piron's representation

and widely quoted result [14], we shall give up an exposition of this

representation ...

This analytical representation is generally referred to as Piron's representation

**theorem**[14], and constitutes a milestone of quantum logics. Being a rather oldand widely quoted result [14], we shall give up an exposition of this

representation ...

Page 63

responding to the one encountered in ordinary quantum mechanics has found an

almost complete answer in Gleason's

mathematical foundations of quantum mechanics. Indeed, this

responding to the one encountered in ordinary quantum mechanics has found an

almost complete answer in Gleason's

**theorem**, one of the cornerstones of themathematical foundations of quantum mechanics. Indeed, this

**theorem**asserts ...Page 298

by the connectives A a B, Av B and A -> B. In fact, we have the following

. In the calculus Q*„ the rule V<4v->4„V<Bv-,B„V< HA, B) v -. k(A, B) => => V < (A*

B)v ->(A*B) with * e {a, v, ->} can be deduced [20]. Starting from value- definite ...

by the connectives A a B, Av B and A -> B. In fact, we have the following

**Theorem**. In the calculus Q*„ the rule V<4v->4„V<Bv-,B„V< HA, B) v -. k(A, B) => => V < (A*

B)v ->(A*B) with * e {a, v, ->} can be deduced [20]. Starting from value- definite ...

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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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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