A deductive-nomological model for mathematical scientific explanation

Detalhes bibliográficos
Autor(a) principal: Castro, Eduardo
Data de Publicação: 2020
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/10379
Resumo: I propose a deductive-nomological model for mathematical scientific explanation. In this regard, I modify Hempel’s deductive-nomological model and test it against some of the following recent paradigmatic examples of the mathematical explanation of empirical facts: the seven bridges of Königsberg, the North American synchronized cicadas, and Hénon-Heiles Hamiltonian systems. I argue that mathematical scientific explanations that invoke laws of nature are qualitative explanations, and ordinary scientific explanations that employ mathematics are quantitative explanations. I analyse the repercussions of this deductivenomological model on causal explanations.
id RCAP_62468d13970f64bf34dcffd5a4496ef4
oai_identifier_str oai:ubibliorum.ubi.pt:10400.6/10379
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling A deductive-nomological model for mathematical scientific explanationExplanationMathematicsDN modelCausationScienceI propose a deductive-nomological model for mathematical scientific explanation. In this regard, I modify Hempel’s deductive-nomological model and test it against some of the following recent paradigmatic examples of the mathematical explanation of empirical facts: the seven bridges of Königsberg, the North American synchronized cicadas, and Hénon-Heiles Hamiltonian systems. I argue that mathematical scientific explanations that invoke laws of nature are qualitative explanations, and ordinary scientific explanations that employ mathematics are quantitative explanations. I analyse the repercussions of this deductivenomological model on causal explanations.Universidade Federal de Santa CatarinauBibliorumCastro, Eduardo2020-07-23T14:40:43Z20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/10379eng1414-424710.5007/1808-1711.2020v24n1p1info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:52:07Zoai:ubibliorum.ubi.pt:10400.6/10379Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:50:21.348124Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A deductive-nomological model for mathematical scientific explanation
title A deductive-nomological model for mathematical scientific explanation
spellingShingle A deductive-nomological model for mathematical scientific explanation
Castro, Eduardo
Explanation
Mathematics
DN model
Causation
Science
title_short A deductive-nomological model for mathematical scientific explanation
title_full A deductive-nomological model for mathematical scientific explanation
title_fullStr A deductive-nomological model for mathematical scientific explanation
title_full_unstemmed A deductive-nomological model for mathematical scientific explanation
title_sort A deductive-nomological model for mathematical scientific explanation
author Castro, Eduardo
author_facet Castro, Eduardo
author_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Castro, Eduardo
dc.subject.por.fl_str_mv Explanation
Mathematics
DN model
Causation
Science
topic Explanation
Mathematics
DN model
Causation
Science
description I propose a deductive-nomological model for mathematical scientific explanation. In this regard, I modify Hempel’s deductive-nomological model and test it against some of the following recent paradigmatic examples of the mathematical explanation of empirical facts: the seven bridges of Königsberg, the North American synchronized cicadas, and Hénon-Heiles Hamiltonian systems. I argue that mathematical scientific explanations that invoke laws of nature are qualitative explanations, and ordinary scientific explanations that employ mathematics are quantitative explanations. I analyse the repercussions of this deductivenomological model on causal explanations.
publishDate 2020
dc.date.none.fl_str_mv 2020-07-23T14:40:43Z
2020
2020-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/10379
url http://hdl.handle.net/10400.6/10379
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1414-4247
10.5007/1808-1711.2020v24n1p1
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Santa Catarina
publisher.none.fl_str_mv Universidade Federal de Santa Catarina
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799136393951182848

Registros relacionados