Limitações do holismo confirmativo na matemática

Detalhes bibliográficos
Ano de defesa: 2017
Autor(a) principal: Ronaldo Pimentel
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
Tipo de documento: Tese
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Minas Gerais
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Matemática
Filosofia
Estruturalismo
Holismo
Ciência
Link de acesso: https://hdl.handle.net/1843/BUOS-AU2M29
Resumo: Confirmational holism is the thesis that any statement of science can be confirmed or refuted, direct or indirectly, by observation. Confirmational holism also admits that mathematics can be revised from some refutation by an empirical test. The aim of this work is to show the limitations of this thesis in the field of philosophy of mathematics. Generally, Holism is well accepted in scientific theories, though, when we confront this thesis with the mathematical practices and moments of scientific discoveries, it shows that mathematical theories own more structure than the scientific vocabulary can interpret. It was exposed the various senses of analyticity in philosophy of mathematics, because analyticity can vary among philosophers, but without set aside the a priori character of mathematics. It was also exposed the various senses of holism to circumscribe the discussion around confirmational holism. After this exposition of concepts, it is followed a philosophy of mathematics centered in structures that can reject this confirmational holism.
id UFMG_9687b993eefa9182099064116d707e8e
oai_identifier_str oai:repositorio.ufmg.br:1843/BUOS-AU2M29
network_acronym_str UFMG
network_name_str Repositório Institucional da UFMG
repository_id_str
spelling Limitações do holismo confirmativo na matemáticaMatemáticaFilosofiaEstruturalismoHolismoMatemáticaCiênciaEstruturalismoFilosofiaHolismoConfirmational holism is the thesis that any statement of science can be confirmed or refuted, direct or indirectly, by observation. Confirmational holism also admits that mathematics can be revised from some refutation by an empirical test. The aim of this work is to show the limitations of this thesis in the field of philosophy of mathematics. Generally, Holism is well accepted in scientific theories, though, when we confront this thesis with the mathematical practices and moments of scientific discoveries, it shows that mathematical theories own more structure than the scientific vocabulary can interpret. It was exposed the various senses of analyticity in philosophy of mathematics, because analyticity can vary among philosophers, but without set aside the a priori character of mathematics. It was also exposed the various senses of holism to circumscribe the discussion around confirmational holism. After this exposition of concepts, it is followed a philosophy of mathematics centered in structures that can reject this confirmational holism.Universidade Federal de Minas Gerais2019-08-12T10:28:45Z2025-09-08T23:12:03Z2019-08-12T10:28:45Z2017-06-19info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdfhttps://hdl.handle.net/1843/BUOS-AU2M29Ronaldo Pimentelinfo:eu-repo/semantics/openAccessporreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMG2025-09-09T18:36:54Zoai:repositorio.ufmg.br:1843/BUOS-AU2M29Repositório InstitucionalPUBhttps://repositorio.ufmg.br/oairepositorio@ufmg.bropendoar:2025-09-09T18:36:54Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false
dc.title.none.fl_str_mv Limitações do holismo confirmativo na matemática
title Limitações do holismo confirmativo na matemática
spellingShingle Limitações do holismo confirmativo na matemática
Ronaldo Pimentel
Matemática
Filosofia
Estruturalismo
Holismo
Matemática
Ciência
Estruturalismo
Filosofia
Holismo
title_short Limitações do holismo confirmativo na matemática
title_full Limitações do holismo confirmativo na matemática
title_fullStr Limitações do holismo confirmativo na matemática
title_full_unstemmed Limitações do holismo confirmativo na matemática
title_sort Limitações do holismo confirmativo na matemática
author Ronaldo Pimentel
author_facet Ronaldo Pimentel
author_role author
dc.contributor.author.fl_str_mv Ronaldo Pimentel
dc.subject.por.fl_str_mv Matemática
Filosofia
Estruturalismo
Holismo
Matemática
Ciência
Estruturalismo
Filosofia
Holismo
topic Matemática
Filosofia
Estruturalismo
Holismo
Matemática
Ciência
Estruturalismo
Filosofia
Holismo
description Confirmational holism is the thesis that any statement of science can be confirmed or refuted, direct or indirectly, by observation. Confirmational holism also admits that mathematics can be revised from some refutation by an empirical test. The aim of this work is to show the limitations of this thesis in the field of philosophy of mathematics. Generally, Holism is well accepted in scientific theories, though, when we confront this thesis with the mathematical practices and moments of scientific discoveries, it shows that mathematical theories own more structure than the scientific vocabulary can interpret. It was exposed the various senses of analyticity in philosophy of mathematics, because analyticity can vary among philosophers, but without set aside the a priori character of mathematics. It was also exposed the various senses of holism to circumscribe the discussion around confirmational holism. After this exposition of concepts, it is followed a philosophy of mathematics centered in structures that can reject this confirmational holism.
publishDate 2017
dc.date.none.fl_str_mv 2017-06-19
2019-08-12T10:28:45Z
2019-08-12T10:28:45Z
2025-09-08T23:12:03Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/1843/BUOS-AU2M29
url https://hdl.handle.net/1843/BUOS-AU2M29
dc.language.iso.fl_str_mv por
language por
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 Minas Gerais
publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFMG
instname:Universidade Federal de Minas Gerais (UFMG)
instacron:UFMG
instname_str Universidade Federal de Minas Gerais (UFMG)
instacron_str UFMG
institution UFMG
reponame_str Repositório Institucional da UFMG
collection Repositório Institucional da UFMG
repository.name.fl_str_mv Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)
repository.mail.fl_str_mv repositorio@ufmg.br
_version_ 1856413909489025024

Registros relacionados