03316nam a22005415i 4500 978-3-031-61786-7 DE-He213 20251030112902.0 cr nn 008mamaa 240821s2024 sz | s |||| 0|eng d 9783031617867 978-3-031-61786-7 10.1007/978-3-031-61786-7 doi QA8-10.4 PBB bicssc MAT015000 bisacsh PBB thema Ellerman, David. author. (orcid)0000-0002-5718-618X https://orcid.org/0000-0002-5718-618X aut http://id.loc.gov/vocabulary/relators/aut 82615 Partitions, Objective Indefiniteness, and Quantum Reality [electronic resource] : The Objective Indefiniteness Interpretation of Quantum Mechanics / by David Ellerman. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XIV, 117 p. 27 illus., 13 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda SpringerBriefs in Philosophy, 2211-4556 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. Mathematics Philosophy. 69649 Quantum physics. 66608 Science Philosophy. 63307 Philosophy of Mathematics. 69650 Quantum Physics. 66608 Philosophy of Science. 68560 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031617850 Printed edition: 9783031617874 Printed edition: 9783031617881 SpringerBriefs in Philosophy, 2211-4556 72365 https://doi.org/10.1007/978-3-031-61786-7 ZDB-2-REP ZDB-2-SXPR 62600 62600