The (reasonable) effectiveness of mathematics in empirical science

Detalhes bibliográficos
Autor(a) principal: da Silva, Jairo José [UNESP]
Data de Publicação: 2018
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5281/zenodo.2550834
http://hdl.handle.net/11449/223464
Resumo: I discuss here the pragmatic problem in the philosophy of mathematics, that is, the applicability of mathematics, particularly in empirical science, in its many variants. My point of depart is that all sciences are formal, descriptions of formal-structural properties instantiated in their domain of interest regardless of their material specificity. It is, then, possible and methodologically justified as far as science is concerned to substitute scientific domains proper by whatever domains -mathematical domains in particular- whose formal structures bear relevant formal similarities with them. I also discuss the consequences to the ontology of mathematics and empirical science of this structuralist approach.
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spelling The (reasonable) effectiveness of mathematics in empirical scienceDomainsFormal structuresOntologyPhilosophy of mathematicsI discuss here the pragmatic problem in the philosophy of mathematics, that is, the applicability of mathematics, particularly in empirical science, in its many variants. My point of depart is that all sciences are formal, descriptions of formal-structural properties instantiated in their domain of interest regardless of their material specificity. It is, then, possible and methodologically justified as far as science is concerned to substitute scientific domains proper by whatever domains -mathematical domains in particular- whose formal structures bear relevant formal similarities with them. I also discuss the consequences to the ontology of mathematics and empirical science of this structuralist approach.Universidade Estadual Paulista Júlio de Mesquita Filho UNESPUniversidade Estadual Paulista Júlio de Mesquita Filho UNESPUniversidade Estadual Paulista (UNESP)da Silva, Jairo José [UNESP]2022-04-28T19:50:49Z2022-04-28T19:50:49Z2018-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.5281/zenodo.2550834Disputatio (Spain), v. 7, n. 8, 2018.2254-0601http://hdl.handle.net/11449/22346410.5281/zenodo.25508342-s2.0-85124587998Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengDisputatio (Spain)info:eu-repo/semantics/openAccess2022-04-28T19:50:49Zoai:repositorio.unesp.br:11449/223464Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T19:50:49Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The (reasonable) effectiveness of mathematics in empirical science
title The (reasonable) effectiveness of mathematics in empirical science
spellingShingle The (reasonable) effectiveness of mathematics in empirical science
da Silva, Jairo José [UNESP]
Domains
Formal structures
Ontology
Philosophy of mathematics
title_short The (reasonable) effectiveness of mathematics in empirical science
title_full The (reasonable) effectiveness of mathematics in empirical science
title_fullStr The (reasonable) effectiveness of mathematics in empirical science
title_full_unstemmed The (reasonable) effectiveness of mathematics in empirical science
title_sort The (reasonable) effectiveness of mathematics in empirical science
author da Silva, Jairo José [UNESP]
author_facet da Silva, Jairo José [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv da Silva, Jairo José [UNESP]
dc.subject.por.fl_str_mv Domains
Formal structures
Ontology
Philosophy of mathematics
topic Domains
Formal structures
Ontology
Philosophy of mathematics
description I discuss here the pragmatic problem in the philosophy of mathematics, that is, the applicability of mathematics, particularly in empirical science, in its many variants. My point of depart is that all sciences are formal, descriptions of formal-structural properties instantiated in their domain of interest regardless of their material specificity. It is, then, possible and methodologically justified as far as science is concerned to substitute scientific domains proper by whatever domains -mathematical domains in particular- whose formal structures bear relevant formal similarities with them. I also discuss the consequences to the ontology of mathematics and empirical science of this structuralist approach.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-01
2022-04-28T19:50:49Z
2022-04-28T19:50:49Z
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://dx.doi.org/10.5281/zenodo.2550834
Disputatio (Spain), v. 7, n. 8, 2018.
2254-0601
http://hdl.handle.net/11449/223464
10.5281/zenodo.2550834
2-s2.0-85124587998
url http://dx.doi.org/10.5281/zenodo.2550834
http://hdl.handle.net/11449/223464
identifier_str_mv Disputatio (Spain), v. 7, n. 8, 2018.
2254-0601
10.5281/zenodo.2550834
2-s2.0-85124587998
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Disputatio (Spain)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1803650173369319424

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