Non-reflexive Logical Foundation for Quantum Mechanics

Autores
da Costa, N. C. A.; de Ronde, Christian
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
On the one hand, non-reflexive logics are logics in which the principle of identity does not hold in general. On the other hand, quantum mechanics has difficulties regarding the interpretation of ‘particles’ and their identity, also known in the literature as ‘the problem of indistinguishable particles’. In this article, we will argue that non-reflexive logics can be a useful tool to account for such quantum indistinguishability. In particular, we will provide a particular non-reflexive logic that can help us to analyze and discuss this problem. From a more general physical perspective, we will also analyze the limits imposed by the orthodox quantum formalism to consider the existence of indistinguishable particles in the first place, and argue that non-reflexive logics can also help us to think beyond the limits of classical identity.
Fil: da Costa, N. C. A.. Universidade Federal de Santa Catarina; Brasil
Fil: de Ronde, Christian. Universidad de Buenos Aires. Facultad de Filosofía y Letras. Instituto de Filosofía "Dr. Alejandro Korn"; Argentina. Vrije Unviversiteit Brussel; Bélgica. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
IDENTITY
INTERPRETATION OF QUANTUM MECHANICS
NON-REFLEXIVE LOGIC
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/98817
Acceder
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spelling Non-reflexive Logical Foundation for Quantum Mechanicsda Costa, N. C. A.de Ronde, ChristianIDENTITYINTERPRETATION OF QUANTUM MECHANICSNON-REFLEXIVE LOGIChttps://purl.org/becyt/ford/6.3https://purl.org/becyt/ford/6On the one hand, non-reflexive logics are logics in which the principle of identity does not hold in general. On the other hand, quantum mechanics has difficulties regarding the interpretation of ‘particles’ and their identity, also known in the literature as ‘the problem of indistinguishable particles’. In this article, we will argue that non-reflexive logics can be a useful tool to account for such quantum indistinguishability. In particular, we will provide a particular non-reflexive logic that can help us to analyze and discuss this problem. From a more general physical perspective, we will also analyze the limits imposed by the orthodox quantum formalism to consider the existence of indistinguishable particles in the first place, and argue that non-reflexive logics can also help us to think beyond the limits of classical identity.Fil: da Costa, N. C. A.. Universidade Federal de Santa Catarina; BrasilFil: de Ronde, Christian. Universidad de Buenos Aires. Facultad de Filosofía y Letras. Instituto de Filosofía "Dr. Alejandro Korn"; Argentina. Vrije Unviversiteit Brussel; Bélgica. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSpringer2014-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/98817da Costa, N. C. A.; de Ronde, Christian; Non-reflexive Logical Foundation for Quantum Mechanics; Springer; Foundations of Physics; 44; 12; 11-2014; 1369-13800015-9018CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10701-014-9848-3info:eu-repo/semantics/altIdentifier/doi/10.1007/s10701-014-9848-3info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:09:28Zoai:ri.conicet.gov.ar:11336/98817instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:09:28.732CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Non-reflexive Logical Foundation for Quantum Mechanics
title Non-reflexive Logical Foundation for Quantum Mechanics
spellingShingle Non-reflexive Logical Foundation for Quantum Mechanics
da Costa, N. C. A.
IDENTITY
INTERPRETATION OF QUANTUM MECHANICS
NON-REFLEXIVE LOGIC
title_short Non-reflexive Logical Foundation for Quantum Mechanics
title_full Non-reflexive Logical Foundation for Quantum Mechanics
title_fullStr Non-reflexive Logical Foundation for Quantum Mechanics
title_full_unstemmed Non-reflexive Logical Foundation for Quantum Mechanics
title_sort Non-reflexive Logical Foundation for Quantum Mechanics
dc.creator.none.fl_str_mv da Costa, N. C. A.
de Ronde, Christian
author da Costa, N. C. A.
author_facet da Costa, N. C. A.
de Ronde, Christian
author_role author
author2 de Ronde, Christian
author2_role author
dc.subject.none.fl_str_mv IDENTITY
INTERPRETATION OF QUANTUM MECHANICS
NON-REFLEXIVE LOGIC
topic IDENTITY
INTERPRETATION OF QUANTUM MECHANICS
NON-REFLEXIVE LOGIC
purl_subject.fl_str_mv https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
dc.description.none.fl_txt_mv On the one hand, non-reflexive logics are logics in which the principle of identity does not hold in general. On the other hand, quantum mechanics has difficulties regarding the interpretation of ‘particles’ and their identity, also known in the literature as ‘the problem of indistinguishable particles’. In this article, we will argue that non-reflexive logics can be a useful tool to account for such quantum indistinguishability. In particular, we will provide a particular non-reflexive logic that can help us to analyze and discuss this problem. From a more general physical perspective, we will also analyze the limits imposed by the orthodox quantum formalism to consider the existence of indistinguishable particles in the first place, and argue that non-reflexive logics can also help us to think beyond the limits of classical identity.
Fil: da Costa, N. C. A.. Universidade Federal de Santa Catarina; Brasil
Fil: de Ronde, Christian. Universidad de Buenos Aires. Facultad de Filosofía y Letras. Instituto de Filosofía "Dr. Alejandro Korn"; Argentina. Vrije Unviversiteit Brussel; Bélgica. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description On the one hand, non-reflexive logics are logics in which the principle of identity does not hold in general. On the other hand, quantum mechanics has difficulties regarding the interpretation of ‘particles’ and their identity, also known in the literature as ‘the problem of indistinguishable particles’. In this article, we will argue that non-reflexive logics can be a useful tool to account for such quantum indistinguishability. In particular, we will provide a particular non-reflexive logic that can help us to analyze and discuss this problem. From a more general physical perspective, we will also analyze the limits imposed by the orthodox quantum formalism to consider the existence of indistinguishable particles in the first place, and argue that non-reflexive logics can also help us to think beyond the limits of classical identity.
publishDate 2014
dc.date.none.fl_str_mv 2014-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/98817
da Costa, N. C. A.; de Ronde, Christian; Non-reflexive Logical Foundation for Quantum Mechanics; Springer; Foundations of Physics; 44; 12; 11-2014; 1369-1380
0015-9018
CONICET Digital
CONICET
url http://hdl.handle.net/11336/98817
identifier_str_mv da Costa, N. C. A.; de Ronde, Christian; Non-reflexive Logical Foundation for Quantum Mechanics; Springer; Foundations of Physics; 44; 12; 11-2014; 1369-1380
0015-9018
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10701-014-9848-3
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10701-014-9848-3
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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