03131nam 22005655 450 991088289700332120250807152831.09783031617867(electronic bk.)978303161785010.1007/978-3-031-61786-7(MiAaPQ)EBC31608965(Au-PeEL)EBL31608965(CKB)34118600000041(DE-He213)978-3-031-61786-7(EXLCZ)993411860000004120240821d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierPartitions, Objective Indefiniteness, and Quantum Reality The Objective Indefiniteness Interpretation of Quantum Mechanics /by David Ellerman1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (126 pages)SpringerBriefs in Philosophy,2211-4556Print version: Ellerman, David Partitions, Objective Indefiniteness, and Quantum Reality Cham : Springer,c2024 9783031617850 Introduction: The partition renaissance -- Partitions: The logical concept to describe indefiniteness and definiteness -- The Yoga of Linearization -- The mathematics of quantum mechanics: the partition analysis -- Conclusions -- Appendix: Comparisons between skeletal partition math and QM math.This book presents a new ‘partitional' approach to understanding or interpreting the math of standard quantum mechanics (QM). The thesis is that the mathematics (not the physics) of QM is the Hilbert space version of the math of partitions on a set and, conversely, the math of partitions is a skeletonized set level version of the math of QM. Since at the set level, partitions are the mathematical tool to represent distinctions and indistinctions (or definiteness and indefiniteness), this approach shows how to interpret the key non-classical QM notion of superposition in terms of (objective) indefiniteness between definite alternatives (as opposed to seeing it as the sum of ‘waves'). Thus, the book develops a new mathematical, or indeed, logical, approach to the century-old problem of interpreting quantum mechanics, ensure it is of interest to philosophers of science as well as mathematicians and physicists.SpringerBriefs in Philosophy,2211-4556MathematicsPhilosophyQuantum theorySciencePhilosophyPhilosophy of MathematicsQuantum PhysicsPhilosophy of ScienceMathematicsPhilosophy.Quantum theory.SciencePhilosophy.Philosophy of Mathematics.Quantum Physics.Philosophy of Science.510.1Ellerman David P232092MiAaPQMiAaPQMiAaPQ9910882897003321Partitions, Objective Indefiniteness, and Quantum Reality4209753UNINA