The (reasonable) effectiveness of mathematics in empirical science
Autor(a) principal: | |
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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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Repositório Institucional da UNESP |
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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 |