02950nam a22004575i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001300153072001600166072002300182072001500205100014500220245017500365250001800540264006900558300006500627336002600692337002600718338003600744347002400780490004500804505030100849520092901150650002902079650002102108650002502129650003102154650002102185650002702206710003402233773002602267776003602293776003602329776003602365830004502401856004602446978-3-031-61786-7DE-He21320251030112902.0cr nn 008mamaa240821s2024    sz |    s    |||| 0|eng d  a97830316178677 a10.1007/978-3-031-61786-72doi 4aQA8-10.4 7aPBB2bicssc 7aMAT0150002bisacsh 7aPBB2thema1 aEllerman, David.eauthor.0(orcid)0000-0002-5718-618X1https://orcid.org/0000-0002-5718-618X4aut4http://id.loc.gov/vocabulary/relators/aut10aPartitions, Objective Indefiniteness, and Quantum Realityh[electronic resource] :bThe Objective Indefiniteness Interpretation of Quantum Mechanics /cby David Ellerman.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXIV, 117 p. 27 illus., 13 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSpringerBriefs in Philosophy,x2211-45560 aIntroduction: 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.  aThis 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. 0aMathematicsxPhilosophy. 0aQuantum physics. 0aSciencexPhilosophy.14aPhilosophy of Mathematics.24aQuantum Physics.24aPhilosophy of Science.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303161785008iPrinted edition:z978303161787408iPrinted edition:z9783031617881 0aSpringerBriefs in Philosophy,x2211-455640uhttps://doi.org/10.1007/978-3-031-61786-7