Conhecimento simbólico na filosofia kantiana da aritmética
Ano de defesa: | 2005 |
---|---|
Autor(a) principal: | |
Orientador(a): | |
Banca de defesa: | , |
Tipo de documento: | Dissertação |
Tipo de acesso: | Acesso aberto |
Idioma: | por |
Instituição de defesa: |
Universidade Federal de Santa Maria
|
Programa de Pós-Graduação: |
Programa de Pós-Graduação em Filosofia
|
Departamento: |
Filosofia
|
País: |
BR
|
Palavras-chave em Português: | |
Área do conhecimento CNPq: | |
Link de acesso: | http://repositorio.ufsm.br/handle/1/9170 |
Resumo: | This dissertation presents an investigation into what, according to Kant, is the role of symbolism in arithmetic. There are few references to arithmetic in the Kant s work, it was search for to assemble a preliminary picture regarding the role of the symbolism in it philosophy of the mathematics as a whole. Above all in the precritical period, but also in the notion of symbolic construction presented in the Critic of Pure Reason, they seem to survive inheritances of the Leibniz s thought, in matter, of the notion of symbolic knowledge, whose exam is also contemplated in this preliminary situation. The investigation had been lead, centrally, for the exam of the linking of the symbolism with two main elements present in the mature Kant s philosophy of the mathematics: intuition and concept. Kant establishes that the relationship between intuition and concept occur in the mathematics through construction, that is, of the exhibition beforehand of an intuition concept. This characterizes what is called ostensive construction. The symbolism gets prominence in which Kant denominates of symbolic or characteristic construction of concepts, by which the concepts are exhibited through signs that are for them. The emphasis in this symbolic aspect is justified by the crescent interests that had been demonstrated in this respect by the contemporary mathematics philosophy, once it points for a fundamental fact of the practical mathematics, to know, the symbolic manipulation. With the purpose of explaining which the own concepts construction of the arithmetic type occurred, then, to the exam the renewal of the studies concerning the Kant s mathematics philosophy, particularly the arithmetic, that point for the discussion of subjects linked with the symbolism and the intuition. It had been intended to show the relationship between the symbolic aspect and the arithmetic ostensive aspect in the extent of the mathematics Kant s philosophy and in connection with that, if we should consider instances that correspond to arithmetic concepts or signs that are for these concepts. All discussed interpretations, direct or indirectly, conclude the discussion between the different arithmetic notations and the correspondent concepts or objects represented by them. |
id |
UFSM_e8bfbe2600c3ed30f1ed957f182f7c9c |
---|---|
oai_identifier_str |
oai:repositorio.ufsm.br:1/9170 |
network_acronym_str |
UFSM |
network_name_str |
Biblioteca Digital de Teses e Dissertações do UFSM |
repository_id_str |
|
spelling |
2007-10-172007-10-172005-02-28FENGLER, Dayane. SYMBOLIC KNOWLEDGE IN KANT S PHILOSOPHY OF ARITHMETIC. 2005. 145 f. Dissertação (Mestrado em Filosofia) - Universidade Federal de Santa Maria, Santa Maria, 2005.http://repositorio.ufsm.br/handle/1/9170This dissertation presents an investigation into what, according to Kant, is the role of symbolism in arithmetic. There are few references to arithmetic in the Kant s work, it was search for to assemble a preliminary picture regarding the role of the symbolism in it philosophy of the mathematics as a whole. Above all in the precritical period, but also in the notion of symbolic construction presented in the Critic of Pure Reason, they seem to survive inheritances of the Leibniz s thought, in matter, of the notion of symbolic knowledge, whose exam is also contemplated in this preliminary situation. The investigation had been lead, centrally, for the exam of the linking of the symbolism with two main elements present in the mature Kant s philosophy of the mathematics: intuition and concept. Kant establishes that the relationship between intuition and concept occur in the mathematics through construction, that is, of the exhibition beforehand of an intuition concept. This characterizes what is called ostensive construction. The symbolism gets prominence in which Kant denominates of symbolic or characteristic construction of concepts, by which the concepts are exhibited through signs that are for them. The emphasis in this symbolic aspect is justified by the crescent interests that had been demonstrated in this respect by the contemporary mathematics philosophy, once it points for a fundamental fact of the practical mathematics, to know, the symbolic manipulation. With the purpose of explaining which the own concepts construction of the arithmetic type occurred, then, to the exam the renewal of the studies concerning the Kant s mathematics philosophy, particularly the arithmetic, that point for the discussion of subjects linked with the symbolism and the intuition. It had been intended to show the relationship between the symbolic aspect and the arithmetic ostensive aspect in the extent of the mathematics Kant s philosophy and in connection with that, if we should consider instances that correspond to arithmetic concepts or signs that are for these concepts. All discussed interpretations, direct or indirectly, conclude the discussion between the different arithmetic notations and the correspondent concepts or objects represented by them.Esta dissertação apresenta uma investigação acerca de qual, segundo Kant, é o papel do simbolismo na aritmética. Dado que são poucas as referências à aritmética na obra de Kant, buscou-se montar um quadro preliminar a respeito do papel do simbolismo na sua filosofia da matemática como um todo. Sobretudo no período pré-crítico, mas também na noção de construção simbólica apresentada na Crítica da Razão Pura, parecem sobreviver heranças do pensamento leibniziano, em particular, da noção de conhecimento simbólico, cujo exame também está contemplado neste quadro preliminar. A investigação foi conduzida, centralmente, pelo exame da vinculação do simbolismo com os dois elementos principais presentes na filosofia kantiana madura da matemática: intuição e conceito. Kant estabelece que a relação entre intuição e conceito ocorre na matemática por meio de construção, isto é, da exibição a priori de um conceito na intuição. Isto caracteriza a chamada construção ostensiva. O simbolismo ganha destaque no que Kant denomina de construção simbólica ou característica de conceitos, mediante a qual os conceitos são exibidos por meio de signos que estão por eles. A ênfase neste aspecto simbólico se justifica pelo crescente interesse que tem sido demonstrado neste respeito pela filosofia da matemática contemporânea, uma vez que aponta para um fato fundamental da prática matemática, a saber, a manipulação simbólica. Com o propósito de esclarecer qual o tipo de construção de conceitos próprio da aritmética passou-se, então, ao exame da renovação dos estudos acerca da filosofia da matemática de Kant, particularmente, da aritmética, que apontam para a discussão de questões vinculadas com o simbolismo e a intuição. Tencionou-se mostrar a relação entre o aspecto simbólico e o aspecto ostensivo da aritmética no âmbito da filosofia kantiana da matemática e, em conexão com isso, se devemos considerar instâncias que correspondem a conceitos aritméticos ou signos que estão por estes conceitos. Todas as interpretações discutidas, direta ou indiretamente, concluem na discussão entre as diferentes notações aritméticas e os correspondentes conceitos ou objetos por eles representados.Coordenação de Aperfeiçoamento de Pessoal de Nível Superiorapplication/pdfporUniversidade Federal de Santa MariaPrograma de Pós-Graduação em FilosofiaUFSMBRFilosofiaFilosofiaMatemáticaAritméticaSimbolismoConhecimento matemáticoCNPQ::CIENCIAS HUMANAS::FILOSOFIAConhecimento simbólico na filosofia kantiana da aritméticaSymbolic knowledge in kant s philosophy of arithmeticinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisCasanave, Abel Lassallehttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4784808Z9Greimann, Dirkhttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4162409Y6Sautter, Frank Thomashttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4723891U6http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4701047J9Fengler, Dayane70010000000440030030050030068887440-c3fb-4788-b2fc-d43c22efe6da5918382a-30f7-48ac-863d-43d2271ed591491b9755-569a-487b-9a1e-6abe0a0964470b9bd987-1c0e-499d-a7be-c5801ae05a7einfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações do UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMORIGINALDAYANEFENGLER.pdfapplication/pdf556128http://repositorio.ufsm.br/bitstream/1/9170/1/DAYANEFENGLER.pdf189f3c7d7b090351331f92b7b456df73MD51TEXTDAYANEFENGLER.pdf.txtDAYANEFENGLER.pdf.txtExtracted texttext/plain261646http://repositorio.ufsm.br/bitstream/1/9170/2/DAYANEFENGLER.pdf.txta93f96584b1ee526192ba8b9aae3f69bMD52THUMBNAILDAYANEFENGLER.pdf.jpgDAYANEFENGLER.pdf.jpgIM Thumbnailimage/jpeg5389http://repositorio.ufsm.br/bitstream/1/9170/3/DAYANEFENGLER.pdf.jpgf0bf84eee3342277d4672cbaa2346a21MD531/91702022-03-03 16:50:00.375oai:repositorio.ufsm.br:1/9170Biblioteca Digital de Teses e Dissertaçõeshttps://repositorio.ufsm.br/ONGhttps://repositorio.ufsm.br/oai/requestatendimento.sib@ufsm.br||tedebc@gmail.comopendoar:2022-03-03T19:50Biblioteca Digital de Teses e Dissertações do UFSM - Universidade Federal de Santa Maria (UFSM)false |
dc.title.por.fl_str_mv |
Conhecimento simbólico na filosofia kantiana da aritmética |
dc.title.alternative.eng.fl_str_mv |
Symbolic knowledge in kant s philosophy of arithmetic |
title |
Conhecimento simbólico na filosofia kantiana da aritmética |
spellingShingle |
Conhecimento simbólico na filosofia kantiana da aritmética Fengler, Dayane Filosofia Matemática Aritmética Simbolismo Conhecimento matemático CNPQ::CIENCIAS HUMANAS::FILOSOFIA |
title_short |
Conhecimento simbólico na filosofia kantiana da aritmética |
title_full |
Conhecimento simbólico na filosofia kantiana da aritmética |
title_fullStr |
Conhecimento simbólico na filosofia kantiana da aritmética |
title_full_unstemmed |
Conhecimento simbólico na filosofia kantiana da aritmética |
title_sort |
Conhecimento simbólico na filosofia kantiana da aritmética |
author |
Fengler, Dayane |
author_facet |
Fengler, Dayane |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Casanave, Abel Lassalle |
dc.contributor.advisor1Lattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4784808Z9 |
dc.contributor.referee1.fl_str_mv |
Greimann, Dirk |
dc.contributor.referee1Lattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4162409Y6 |
dc.contributor.referee2.fl_str_mv |
Sautter, Frank Thomas |
dc.contributor.referee2Lattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4723891U6 |
dc.contributor.authorLattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4701047J9 |
dc.contributor.author.fl_str_mv |
Fengler, Dayane |
contributor_str_mv |
Casanave, Abel Lassalle Greimann, Dirk Sautter, Frank Thomas |
dc.subject.por.fl_str_mv |
Filosofia Matemática Aritmética Simbolismo Conhecimento matemático |
topic |
Filosofia Matemática Aritmética Simbolismo Conhecimento matemático CNPQ::CIENCIAS HUMANAS::FILOSOFIA |
dc.subject.cnpq.fl_str_mv |
CNPQ::CIENCIAS HUMANAS::FILOSOFIA |
description |
This dissertation presents an investigation into what, according to Kant, is the role of symbolism in arithmetic. There are few references to arithmetic in the Kant s work, it was search for to assemble a preliminary picture regarding the role of the symbolism in it philosophy of the mathematics as a whole. Above all in the precritical period, but also in the notion of symbolic construction presented in the Critic of Pure Reason, they seem to survive inheritances of the Leibniz s thought, in matter, of the notion of symbolic knowledge, whose exam is also contemplated in this preliminary situation. The investigation had been lead, centrally, for the exam of the linking of the symbolism with two main elements present in the mature Kant s philosophy of the mathematics: intuition and concept. Kant establishes that the relationship between intuition and concept occur in the mathematics through construction, that is, of the exhibition beforehand of an intuition concept. This characterizes what is called ostensive construction. The symbolism gets prominence in which Kant denominates of symbolic or characteristic construction of concepts, by which the concepts are exhibited through signs that are for them. The emphasis in this symbolic aspect is justified by the crescent interests that had been demonstrated in this respect by the contemporary mathematics philosophy, once it points for a fundamental fact of the practical mathematics, to know, the symbolic manipulation. With the purpose of explaining which the own concepts construction of the arithmetic type occurred, then, to the exam the renewal of the studies concerning the Kant s mathematics philosophy, particularly the arithmetic, that point for the discussion of subjects linked with the symbolism and the intuition. It had been intended to show the relationship between the symbolic aspect and the arithmetic ostensive aspect in the extent of the mathematics Kant s philosophy and in connection with that, if we should consider instances that correspond to arithmetic concepts or signs that are for these concepts. All discussed interpretations, direct or indirectly, conclude the discussion between the different arithmetic notations and the correspondent concepts or objects represented by them. |
publishDate |
2005 |
dc.date.issued.fl_str_mv |
2005-02-28 |
dc.date.accessioned.fl_str_mv |
2007-10-17 |
dc.date.available.fl_str_mv |
2007-10-17 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
FENGLER, Dayane. SYMBOLIC KNOWLEDGE IN KANT S PHILOSOPHY OF ARITHMETIC. 2005. 145 f. Dissertação (Mestrado em Filosofia) - Universidade Federal de Santa Maria, Santa Maria, 2005. |
dc.identifier.uri.fl_str_mv |
http://repositorio.ufsm.br/handle/1/9170 |
identifier_str_mv |
FENGLER, Dayane. SYMBOLIC KNOWLEDGE IN KANT S PHILOSOPHY OF ARITHMETIC. 2005. 145 f. Dissertação (Mestrado em Filosofia) - Universidade Federal de Santa Maria, Santa Maria, 2005. |
url |
http://repositorio.ufsm.br/handle/1/9170 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.cnpq.fl_str_mv |
700100000004 |
dc.relation.confidence.fl_str_mv |
400 300 300 500 300 |
dc.relation.authority.fl_str_mv |
68887440-c3fb-4788-b2fc-d43c22efe6da 5918382a-30f7-48ac-863d-43d2271ed591 491b9755-569a-487b-9a1e-6abe0a096447 0b9bd987-1c0e-499d-a7be-c5801ae05a7e |
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 Santa Maria |
dc.publisher.program.fl_str_mv |
Programa de Pós-Graduação em Filosofia |
dc.publisher.initials.fl_str_mv |
UFSM |
dc.publisher.country.fl_str_mv |
BR |
dc.publisher.department.fl_str_mv |
Filosofia |
publisher.none.fl_str_mv |
Universidade Federal de Santa Maria |
dc.source.none.fl_str_mv |
reponame:Biblioteca Digital de Teses e Dissertações do UFSM instname:Universidade Federal de Santa Maria (UFSM) instacron:UFSM |
instname_str |
Universidade Federal de Santa Maria (UFSM) |
instacron_str |
UFSM |
institution |
UFSM |
reponame_str |
Biblioteca Digital de Teses e Dissertações do UFSM |
collection |
Biblioteca Digital de Teses e Dissertações do UFSM |
bitstream.url.fl_str_mv |
http://repositorio.ufsm.br/bitstream/1/9170/1/DAYANEFENGLER.pdf http://repositorio.ufsm.br/bitstream/1/9170/2/DAYANEFENGLER.pdf.txt http://repositorio.ufsm.br/bitstream/1/9170/3/DAYANEFENGLER.pdf.jpg |
bitstream.checksum.fl_str_mv |
189f3c7d7b090351331f92b7b456df73 a93f96584b1ee526192ba8b9aae3f69b f0bf84eee3342277d4672cbaa2346a21 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
repository.name.fl_str_mv |
Biblioteca Digital de Teses e Dissertações do UFSM - Universidade Federal de Santa Maria (UFSM) |
repository.mail.fl_str_mv |
atendimento.sib@ufsm.br||tedebc@gmail.com |
_version_ |
1793240130508554240 |