Krause, Décio (2004) The Mathematics of Non-Individuality. [Preprint]
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Abstract
Some of the forerunners of quantum theory regarded the basic entities of such theories as 'non-individuals'. One of the problems is to treat collections of such 'things', for they do not obey the axioms of standard set theories like Zermelo-Fraenkel. In this paper, collections of objects to which the standard concept of identity (Leibinizian identity) does not apply are termed 'quasi-sets'. The motivation for such a theory, linked to what we call 'the Manin problem', is presented, so as its specific axioms. At the end, it is shown how quantum statistics can be obtained within quasi-set thbeory.
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Item Type: | Preprint | ||||||
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Keywords: | quasi-sets, indiscernibible objects, indistinguishability, quantum objects | ||||||
Subjects: | General Issues > Structure of Theories Specific Sciences > Mathematics Specific Sciences > Physics > Quantum Mechanics |
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Depositing User: | Décio Krause | ||||||
Date Deposited: | 25 Jan 2004 | ||||||
Last Modified: | 07 Oct 2010 15:12 | ||||||
Item ID: | 1592 | ||||||
Subjects: | General Issues > Structure of Theories Specific Sciences > Mathematics Specific Sciences > Physics > Quantum Mechanics |
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Date: | January 2004 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/1592 |
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