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Logic Journal of IGPL Advance Access published online on October 12, 2007
Logic Journal of IGPL, doi:10.1093/jigpal/jzm033
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© The Author, 2007. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Logical and Philosophical Remarks on Quasi-Set Theory

Newton C. A. Da Costa

Department of Philosophy, Federal University of Santa Catarina, P.O.Box 476, 88040-900 Florianópolis, SC-Brazil, E-mail: ncacosta{at}terra.com.br

Décio Krause

Department of Philosophy, Federal University of Santa Catarina, P.O.Box 476, 88040-900 Florianópolis, SC-Brazil, E-mail: d krause{at}cfh.ufsc.br


  Abstract

Quasi-set theory is a theory for dealing with collections of indistinguishable objects. In this paper we discuss some logical and philosophical questions involved with such a theory. The analysis of these questions enable us to provide the first grounds of a possible new view of physical reality, founded on an ontology of non-individuals, to which quasi-set theory may constitute the logical basis.

Key Words: quasi-sets • logic of quantum mechanics • identity • non-individuality • quantum ontology • quasi-objects

Received for publication 13 October 2006.
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