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

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Page 168

As a consequence, in this kind of semantics, the logical connectives turn out to be

not

equivalent to the nontruth of the positive sentence: the

...

As a consequence, in this kind of semantics, the logical connectives turn out to be

not

**truth**-functional. This means that the**truth**of a negated sentence is notequivalent to the nontruth of the positive sentence: the

**truth**of a conjunction is not...

Page 183

Let us now point out some immediate consequences of the definition of quantum-

logical

assertion according to which « for any sentence a, either a or its negation is true

» ...

Let us now point out some immediate consequences of the definition of quantum-

logical

**truth**. The « strong tertium non datur principle », i.e. the metatheoreticalassertion according to which « for any sentence a, either a or its negation is true

» ...

Page 186

From an intuitive point of view, the non

reasonable, owing to the incompatibility of the two quantities Q, and Q,. So far, we

have defined the concept of quantum-logical

states.

From an intuitive point of view, the non

**truth**of our sentence sounds veryreasonable, owing to the incompatibility of the two quantities Q, and Q,. So far, we

have defined the concept of quantum-logical

**truth**, only with respect to the idealstates.

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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