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024 7 _a10.1007/978-3-031-61786-7
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100 1 _aEllerman, David.
_eauthor.
_0(orcid)0000-0002-5718-618X
_1https://orcid.org/0000-0002-5718-618X
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982615
245 1 0 _aPartitions, Objective Indefiniteness, and Quantum Reality
_h[electronic resource] :
_bThe Objective Indefiniteness Interpretation of Quantum Mechanics /
_cby David Ellerman.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXIV, 117 p. 27 illus., 13 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Philosophy,
_x2211-4556
505 0 _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.
520 _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.
650 0 _aMathematics
_xPhilosophy.
_969649
650 0 _aQuantum physics.
_966608
650 0 _aScience
_xPhilosophy.
_963307
650 1 4 _aPhilosophy of Mathematics.
_969650
650 2 4 _aQuantum Physics.
_966608
650 2 4 _aPhilosophy of Science.
_968560
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031617850
776 0 8 _iPrinted edition:
_z9783031617874
776 0 8 _iPrinted edition:
_z9783031617881
830 0 _aSpringerBriefs in Philosophy,
_x2211-4556
_972365
856 4 0 _uhttps://doi.org/10.1007/978-3-031-61786-7
912 _aZDB-2-REP
912 _aZDB-2-SXPR
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