TY  - BOOK
AU  - Ellerman,David
ED  - SpringerLink (Online service)
TI  - Partitions, Objective Indefiniteness, and Quantum Reality: The Objective Indefiniteness Interpretation of Quantum Mechanics 
T2  - SpringerBriefs in Philosophy,
SN  - 9783031617867
AV  - QA8-10.4 
PY  - 2024///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Springer
KW  - Mathematics
KW  - Philosophy
KW  - Quantum physics
KW  - Science
KW  - Philosophy of Mathematics
KW  - Quantum Physics
KW  - Philosophy of Science
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-61786-7
ER  -