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Partitions, objective indefiniteness, and quantum realitythe objective indefiniteness interpretation of quantum mechanics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Partitions, objective indefiniteness, and quantum realityby David Ellerman.
Reminder of title:	the objective indefiniteness interpretation of quantum mechanics /
Author:	Ellerman, David.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xiv, 117 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Quantum theoryMathematics.
Online resource:	https://doi.org/10.1007/978-3-031-61786-7
ISBN:	9783031617867$q(electronic bk.)

Partitions, objective indefiniteness, and quantum realitythe objective indefiniteness interpretation of quantum mechanics /
Ellerman, David.

Partitions, objective indefiniteness, and quantum realitythe objective indefiniteness interpretation of quantum mechanics /[electronic resource] :by David Ellerman. - Cham :Springer Nature Switzerland :2024. - xiv, 117 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in philosophy,2211-4556. - SpringerBriefs in philosophy..

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.

ISBN: 9783031617867$q(electronic bk.)

Standard No.: 10.1007/978-3-031-61786-7doiSubjects--Topical Terms:

207816
Quantum theory
--Mathematics.

LC Class. No.: QC174.13

Dewey Class. No.: 530.120151

Partitions, objective indefiniteness, and quantum realitythe objective indefiniteness interpretation of quantum mechanics /
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520 $a 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.
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