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The Mathematics of Non-Individuality

Krause, Décio (2004) The Mathematics of Non-Individuality. [Preprint]

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    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
    Keywords: quasi-sets, indiscernibible objects, indistinguishability, quantum objects
    Subjects: General Issues > Structure of Theories
    Specific Sciences > Mathematics
    Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Décio Krause
    Date Deposited: 25 Jan 2004
    Last Modified: 07 Oct 2010 11:12
    Item ID: 1592

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