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In this paper we analyze and discuss the historical and philosophical development of the notion of logical possibility focusing on its specific meaning in classical and quantum mechanics. Taking into account the logical structure of quantum…

量子物理 · 物理学 2014-04-25 Christian de Ronde , Hector Freytes , G. Domenech

A discussion of the quantum mechanical use of superposition or entangled states shows that descriptions containing only statements about state vectors and experiments outputs are the most suitable for Quantum Mechanics. In particular, it is…

量子物理 · 物理学 2008-05-25 Giuseppe Giuliani

The aim of this paper is to introduce a new member of the family of the modal interpretations of quantum mechanics. In this modal-Hamiltonian interpretation, the Hamiltonian of the quantum system plays a decisive role in the…

量子物理 · 物理学 2008-02-04 Olimpia Lombardi , Mario Castagnino

Non-normal modal logics, interpreted on neighbourhood models which generalise the usual relational semantics, have found application in several areas, such as epistemic, deontic, and coalitional reasoning. We present here preliminary…

计算机科学中的逻辑 · 计算机科学 2022-07-04 Tiziano Dalmonte , Andrea Mazzullo , Ana Ozaki

The discussion of the foundations of quantum mechanics is complicated by the fact that a number of different issues are closely entangled. Three of these issues are i) the interpretation of probability, ii) the choice between realist and…

量子物理 · 物理学 2017-08-23 Willem M. de Muynck

This article aims to present a neighborhood semantic for a modal logic, namely, propositional logic of the plausible. As a subnormal character modal logic, not admits a Kripke semantics. However, the authors show that this neighborhood…

We have performed an experimental test under the conditions of which quantum mechanics predicts a spatially-discontinuous single-particle transport. The transport is beyond the relativistic paradigm of movement in Cartesian space and…

综合物理 · 物理学 2013-06-14 S. A. Emelyanov

Possibilistic logic has been proposed as a numerical formalism for reasoning with uncertainty. There has been interest in developing qualitative accounts of possibility, as well as an explanation of the relationship between possibility and…

人工智能 · 计算机科学 2013-03-25 Craig Boutilier

The Quantum-Bayesian interpretation of quantum theory claims to eliminate the question of quantum nonlocality. This claim is not justified, because the question of non-locality does not arise due to any interpretation of quantum theory, but…

量子物理 · 物理学 2016-07-01 Gerold Gründler

We introduce a realist, unextravagant interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes, but leaves the theory's basic dynamical content…

量子物理 · 物理学 2014-06-09 Jacob A. Barandes , David Kagan

Although the present paper looks upon the formal apparatus of quantum mechanics as a calculus of correlations, it goes beyond a purely operationalist interpretation. Having established the consistency of the correlations with the existence…

量子物理 · 物理学 2017-05-02 Ulrich Mohrhoff

A probabilistic propositional logic, endowed with an epistemic component for asserting (non-)compatibility of diagonizable and bounded observables, is presented and illustrated for reasoning about the random results of projective…

逻辑 · 数学 2018-03-20 A. Sernadas , J. Rasga , C. Sernadas , L. Alcácer , A. B. Henriques

Our understanding about things is conceptual. By stating that we reason about objects, it is in fact not the objects but concepts referring to them that we manipulate. Now, so long just as we acknowledge infinitely extending notions such as…

人工智能 · 计算机科学 2015-04-21 Ryuta Arisaka

I show that if mental states are function of physical states, then they are nonlocal, in a sense that will be explained. I argue that, if mental states are reducible to brain physics, and if they are integrated experiences, this nonlocality…

物理学史与哲学 · 物理学 2021-02-02 Ovidiu Cristinel Stoica

Recently, it has been argued that quantum mechanics is a complete theory, and that different quantum states do necessarily correspond to different elements of reality, under the assumptions that quantum mechanics is correct and that…

量子物理 · 物理学 2015-06-23 Giancarlo Ghirardi , Raffaele Romano

'Locality' is a fraught word, even within the restricted context of Bell's theorem. As one of us has argued elsewhere, that is partly because Bell himself used the word with different meanings at different stages in his career. The…

量子物理 · 物理学 2018-09-06 Mojtaba Ghadimi , Michael J. W. Hall , Howard M. Wiseman

The interpretation of quantum mechanics continues to be debated, and quantum nonlocality accentuates the puzzle. Quantum interpretations can be classified broadly into two types: realist interpretations, which assert that quantum states…

量子物理 · 物理学 2026-05-26 Vivek Kumar , M. P. Singh , R. Srikanth

This paper presents the logic QRC$_1$, which is a strictly positive fragment of quantified modal logic. The intended reading of the diamond modality is that of consistency of a formal theory. Predicate symbols are interpreted as…

逻辑 · 数学 2020-10-15 Ana de Almeida Borges , Joost J. Joosten

Nearing a century since its inception, quantum mechanics is as lively as ever. Its signature manifestations, such as superposition, wave-particle duality, uncertainty principle, entanglement and nonlocality, were long confronted as weird…

量子物理 · 物理学 2018-06-06 Gerardo Adesso , Rosario Lo Franco , Valentina Parigi

Modal logic is a paradigm for several useful and applicable formal systems in computer science. It generally retains the low complexity of classical propositional logic, but notable exceptions exist in the domains of description, temporal,…

计算机科学中的逻辑 · 计算机科学 2016-09-15 Davide Bresolin , Emilio Muñoz-Velasco , Guido Sciavicco