Models and Modeling in Science: the role of metamathematics

Detalhes bibliográficos
Autor(a) principal: Krause, Décio
Data de Publicação: 2022
Tipo de documento: Artigo
Idioma: por
Título da fonte: Principia (Florianópolis. Online)
Texto Completo: https://periodicos.ufsc.br/index.php/principia/article/view/86052
Resumo: The use of models of scientific theories should not be done without qualifications about the mathematics being used to build the models. This looks obvious, at least for logicians, but generally, it is not to the philosopher of science. Thus, some details about this point seem useful for both. Since any quick revision in the literature shows that in most cases, mainly after the raising of the semantic approach (to scientific theories), the models are taken to be set-theoretical structures, in discussing the issue we shall be concerned more with set theories, the locus where the play is usually developed (yet sometimes unconsciously).
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spelling Models and Modeling in Science: the role of metamathematicsScientific theoriesstructuresmodelsset theoriescategoriesmetaphysicsnon-individualsquasi-set theoryThe use of models of scientific theories should not be done without qualifications about the mathematics being used to build the models. This looks obvious, at least for logicians, but generally, it is not to the philosopher of science. Thus, some details about this point seem useful for both. Since any quick revision in the literature shows that in most cases, mainly after the raising of the semantic approach (to scientific theories), the models are taken to be set-theoretical structures, in discussing the issue we shall be concerned more with set theories, the locus where the play is usually developed (yet sometimes unconsciously).Federal University of Santa Catarina – UFSC2022-06-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufsc.br/index.php/principia/article/view/8605210.5007/1808-1711.2022.e86052Principia: an international journal of epistemology; Vol. 26 No. 1 (2022): Special Issue: Models and Modeling in the Sciences; 39-54Principia: an international journal of epistemology; Vol. 26 Núm. 1 (2022): Special Issue: Models and Modeling in the Sciences; 39-54Principia: an international journal of epistemology; v. 26 n. 1 (2022): Special Issue: Models and Modeling in the Sciences; 39-541808-17111414-4247reponame:Principia (Florianópolis. Online)instname:Universidade Federal de Santa Catarina (UFSC)instacron:UFSCporhttps://periodicos.ufsc.br/index.php/principia/article/view/86052/51092Copyright (c) 2022 Décio Krausehttp://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessKrause, Décio2022-06-07T23:51:27Zoai:periodicos.ufsc.br:article/86052Revistahttps://periodicos.ufsc.br/index.php/principiaPUBhttps://periodicos.ufsc.br/index.php/principia/oaiprincipia@contato.ufsc.br||principia@contato.ufsc.br1808-17111414-4247opendoar:2022-06-07T23:51:27Principia (Florianópolis. Online) - Universidade Federal de Santa Catarina (UFSC)false
dc.title.none.fl_str_mv Models and Modeling in Science: the role of metamathematics
title Models and Modeling in Science: the role of metamathematics
spellingShingle Models and Modeling in Science: the role of metamathematics
Krause, Décio
Scientific theories
structures
models
set theories
categories
metaphysics
non-individuals
quasi-set theory
title_short Models and Modeling in Science: the role of metamathematics
title_full Models and Modeling in Science: the role of metamathematics
title_fullStr Models and Modeling in Science: the role of metamathematics
title_full_unstemmed Models and Modeling in Science: the role of metamathematics
title_sort Models and Modeling in Science: the role of metamathematics
author Krause, Décio
author_facet Krause, Décio
author_role author
dc.contributor.author.fl_str_mv Krause, Décio
dc.subject.por.fl_str_mv Scientific theories
structures
models
set theories
categories
metaphysics
non-individuals
quasi-set theory
topic Scientific theories
structures
models
set theories
categories
metaphysics
non-individuals
quasi-set theory
description The use of models of scientific theories should not be done without qualifications about the mathematics being used to build the models. This looks obvious, at least for logicians, but generally, it is not to the philosopher of science. Thus, some details about this point seem useful for both. Since any quick revision in the literature shows that in most cases, mainly after the raising of the semantic approach (to scientific theories), the models are taken to be set-theoretical structures, in discussing the issue we shall be concerned more with set theories, the locus where the play is usually developed (yet sometimes unconsciously).
publishDate 2022
dc.date.none.fl_str_mv 2022-06-07
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufsc.br/index.php/principia/article/view/86052
10.5007/1808-1711.2022.e86052
url https://periodicos.ufsc.br/index.php/principia/article/view/86052
identifier_str_mv 10.5007/1808-1711.2022.e86052
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ufsc.br/index.php/principia/article/view/86052/51092
dc.rights.driver.fl_str_mv Copyright (c) 2022 Décio Krause
http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2022 Décio Krause
http://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Federal University of Santa Catarina – UFSC
publisher.none.fl_str_mv Federal University of Santa Catarina – UFSC
dc.source.none.fl_str_mv Principia: an international journal of epistemology; Vol. 26 No. 1 (2022): Special Issue: Models and Modeling in the Sciences; 39-54
Principia: an international journal of epistemology; Vol. 26 Núm. 1 (2022): Special Issue: Models and Modeling in the Sciences; 39-54
Principia: an international journal of epistemology; v. 26 n. 1 (2022): Special Issue: Models and Modeling in the Sciences; 39-54
1808-1711
1414-4247
reponame:Principia (Florianópolis. Online)
instname:Universidade Federal de Santa Catarina (UFSC)
instacron:UFSC
instname_str Universidade Federal de Santa Catarina (UFSC)
instacron_str UFSC
institution UFSC
reponame_str Principia (Florianópolis. Online)
collection Principia (Florianópolis. Online)
repository.name.fl_str_mv Principia (Florianópolis. Online) - Universidade Federal de Santa Catarina (UFSC)
repository.mail.fl_str_mv principia@contato.ufsc.br||principia@contato.ufsc.br
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