Infinitude e Rupturas no Logicismo de Gottlob Frege

Detalhes bibliográficos
Autor(a) principal: Cardoso, Luciano Carvalho [UNIFESP]
Data de Publicação: 2020
Tipo de documento: Tese
Idioma: por
Título da fonte: Repositório Institucional da UNIFESP
Texto Completo: https://sucupira.capes.gov.br/sucupira/public/consultas/coleta/trabalhoConclusao/viewTrabalhoConclusao.jsf?popup=true&id_trabalho=9740701
https://hdl.handle.net/11600/64634
Resumo: The construction of Fregian Logicism, as an approach that redefines the laws that underlie thought and arithmetic, is recognized for being grounded in the denial of intuition and for structuring a first and second order logic in accordance with extensional logic so that The foundation of arithmetic truths is configured as analytical. In his later works, published only posthumously, Frege will define a distinct approach to Logicism. Now grounded in a source of geometric knowledge, which partly relies on the logical foundation of knowledge, the new Fregian model seems to recognize the importance of intuition in this process. The aim of this paper is to demonstrate the path of construction of Fregian Logicism, the contradictions that would arise as Frege matured his system, the disruptions that Infinity caused and, after finding his system inconsistent, Frege restructures into a prototype model of unified mathematics.
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spelling Infinitude e Rupturas no Logicismo de Gottlob FregeArithmeticThoughtConceptsEnumerabilityAritméticaPensamentoConceitosEnumerabilidadeInfinitudeThe construction of Fregian Logicism, as an approach that redefines the laws that underlie thought and arithmetic, is recognized for being grounded in the denial of intuition and for structuring a first and second order logic in accordance with extensional logic so that The foundation of arithmetic truths is configured as analytical. In his later works, published only posthumously, Frege will define a distinct approach to Logicism. Now grounded in a source of geometric knowledge, which partly relies on the logical foundation of knowledge, the new Fregian model seems to recognize the importance of intuition in this process. The aim of this paper is to demonstrate the path of construction of Fregian Logicism, the contradictions that would arise as Frege matured his system, the disruptions that Infinity caused and, after finding his system inconsistent, Frege restructures into a prototype model of unified mathematics.A construção do Logicismo Fregiano, enquanto abordagem que redefine as leis que fundamentam o pensamento e a aritmética, é reconhecida por fundamentar-se sobre a negação da intuição e por estruturar uma lógica de primeira e segunda ordem em conformidade com a lógica extensional de modo que o fundamento das verdades aritméticas se configuram como analíticos. Em seus últimos trabalhos, publicados apenas postumamente, Frege definirá uma abordagem distinta para o Logicismo. Agora fundamentado em uma fonte de conhecimento geométrico, que recorre parcialmente ao fundamento lógico do conhecimento, o novo modelo Fregiano parece reconhecer a importância da intuição nesse processo. O objetivo desse trabalho consiste em demonstrar o itinerário de construção do Logicismo Fregiano, as contradições que viriam a surgir na medida em que Frege amadurecia seu sistema, as rupturas que a Infinitude acarretou e como, após a constatação de inconsistência de seu sistema, Frege o reestrutura em um modelo prototípico de matemática unificada.Dados abertos - Sucupira - Teses e dissertações (2020)Universidade Federal de São Paulo (UNIFESP)Carvalho, Marcelo Silva De [UNIFESP]Universidade Federal de São PauloCardoso, Luciano Carvalho [UNIFESP]2022-07-21T17:10:09Z2022-07-21T17:10:09Z2020-06-10info:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/publishedVersion188 p.application/pdfhttps://sucupira.capes.gov.br/sucupira/public/consultas/coleta/trabalhoConclusao/viewTrabalhoConclusao.jsf?popup=true&id_trabalho=9740701LUCIANO CARVALHO CARDOSO.pdfhttps://hdl.handle.net/11600/64634porinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNIFESPinstname:Universidade Federal de São Paulo (UNIFESP)instacron:UNIFESP2024-07-27T01:29:19Zoai:repositorio.unifesp.br/:11600/64634Repositório InstitucionalPUBhttp://www.repositorio.unifesp.br/oai/requestbiblioteca.csp@unifesp.bropendoar:34652024-07-27T01:29:19Repositório Institucional da UNIFESP - Universidade Federal de São Paulo (UNIFESP)false
dc.title.none.fl_str_mv Infinitude e Rupturas no Logicismo de Gottlob Frege
title Infinitude e Rupturas no Logicismo de Gottlob Frege
spellingShingle Infinitude e Rupturas no Logicismo de Gottlob Frege
Cardoso, Luciano Carvalho [UNIFESP]
Arithmetic
Thought
Concepts
Enumerability
Aritmética
Pensamento
Conceitos
Enumerabilidade
Infinitude
title_short Infinitude e Rupturas no Logicismo de Gottlob Frege
title_full Infinitude e Rupturas no Logicismo de Gottlob Frege
title_fullStr Infinitude e Rupturas no Logicismo de Gottlob Frege
title_full_unstemmed Infinitude e Rupturas no Logicismo de Gottlob Frege
title_sort Infinitude e Rupturas no Logicismo de Gottlob Frege
author Cardoso, Luciano Carvalho [UNIFESP]
author_facet Cardoso, Luciano Carvalho [UNIFESP]
author_role author
dc.contributor.none.fl_str_mv Carvalho, Marcelo Silva De [UNIFESP]
Universidade Federal de São Paulo
dc.contributor.author.fl_str_mv Cardoso, Luciano Carvalho [UNIFESP]
dc.subject.por.fl_str_mv Arithmetic
Thought
Concepts
Enumerability
Aritmética
Pensamento
Conceitos
Enumerabilidade
Infinitude
topic Arithmetic
Thought
Concepts
Enumerability
Aritmética
Pensamento
Conceitos
Enumerabilidade
Infinitude
description The construction of Fregian Logicism, as an approach that redefines the laws that underlie thought and arithmetic, is recognized for being grounded in the denial of intuition and for structuring a first and second order logic in accordance with extensional logic so that The foundation of arithmetic truths is configured as analytical. In his later works, published only posthumously, Frege will define a distinct approach to Logicism. Now grounded in a source of geometric knowledge, which partly relies on the logical foundation of knowledge, the new Fregian model seems to recognize the importance of intuition in this process. The aim of this paper is to demonstrate the path of construction of Fregian Logicism, the contradictions that would arise as Frege matured his system, the disruptions that Infinity caused and, after finding his system inconsistent, Frege restructures into a prototype model of unified mathematics.
publishDate 2020
dc.date.none.fl_str_mv 2020-06-10
2022-07-21T17:10:09Z
2022-07-21T17:10:09Z
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format doctoralThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://sucupira.capes.gov.br/sucupira/public/consultas/coleta/trabalhoConclusao/viewTrabalhoConclusao.jsf?popup=true&id_trabalho=9740701
LUCIANO CARVALHO CARDOSO.pdf
https://hdl.handle.net/11600/64634
url https://sucupira.capes.gov.br/sucupira/public/consultas/coleta/trabalhoConclusao/viewTrabalhoConclusao.jsf?popup=true&id_trabalho=9740701
https://hdl.handle.net/11600/64634
identifier_str_mv LUCIANO CARVALHO CARDOSO.pdf
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 188 p.
application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de São Paulo (UNIFESP)
publisher.none.fl_str_mv Universidade Federal de São Paulo (UNIFESP)
dc.source.none.fl_str_mv reponame:Repositório Institucional da UNIFESP
instname:Universidade Federal de São Paulo (UNIFESP)
instacron:UNIFESP
instname_str Universidade Federal de São Paulo (UNIFESP)
instacron_str UNIFESP
institution UNIFESP
reponame_str Repositório Institucional da UNIFESP
collection Repositório Institucional da UNIFESP
repository.name.fl_str_mv Repositório Institucional da UNIFESP - Universidade Federal de São Paulo (UNIFESP)
repository.mail.fl_str_mv biblioteca.csp@unifesp.br
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