Logic of hegelian quantity
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2023 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | por |
| Título da fonte: | Cognitio (São Paulo. Online) |
| Texto Completo: | https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/63438 |
Resumo: | Hegel’s Science of Logic presents in the Logic of Being, in the 2nd Section, Quantity, as a philosophy of modern mathematics. The stage of development of modern sciences in general, and of mathematics in particular, allow Hegel to make a diagnosis of the advances and limits reached so far, which points out the contradictions of the concept of quantity/quantum. We initially reconstructed the theory of pure quantity and its continuous and discrete moments; then, the dialectic of the extensive and intensive quantum, with the moments of number that culminate in the contradiction of infinitesimal calculus; finally, in the quantitative relationship, the overcoming of the speculative deficit of the mathematical relationships itself is articulated, giving rise, in this sense, to the conceptual aspect of quantity as quality. In other words, Hegel immanently deduces qualitative dialectic in quantity itself, so that with this explanation the quantitative logic is qualitatively determined, that is, mathematics has a speculative logical sense. |
| id |
PUC_SP-15_6d95d2c8a2962e30b373bb0764100fea |
|---|---|
| oai_identifier_str |
oai:ojs.pkp.sfu.ca:article/63438 |
| network_acronym_str |
PUC_SP-15 |
| network_name_str |
Cognitio (São Paulo. Online) |
| repository_id_str |
|
| spelling |
Logic of hegelian quantityLógica da quantidade hegelianaInfinitude QuantitativaLógica da QuantidadeMatemáticaRelações quantitativasDialéticas do NúmeroQuantitative InfinityQuantitative relationshipsQuantity LogicMathematicsNumber Dialectics Hegel’s Science of Logic presents in the Logic of Being, in the 2nd Section, Quantity, as a philosophy of modern mathematics. The stage of development of modern sciences in general, and of mathematics in particular, allow Hegel to make a diagnosis of the advances and limits reached so far, which points out the contradictions of the concept of quantity/quantum. We initially reconstructed the theory of pure quantity and its continuous and discrete moments; then, the dialectic of the extensive and intensive quantum, with the moments of number that culminate in the contradiction of infinitesimal calculus; finally, in the quantitative relationship, the overcoming of the speculative deficit of the mathematical relationships itself is articulated, giving rise, in this sense, to the conceptual aspect of quantity as quality. In other words, Hegel immanently deduces qualitative dialectic in quantity itself, so that with this explanation the quantitative logic is qualitatively determined, that is, mathematics has a speculative logical sense. A Ciência da Lógica de Hegel, apresenta na Lógica do Ser, na 2a Seção, a Quantidade, enquanto uma filosofia da matemática moderna. O estágio de desenvolvimento das ciências modernas em geral, e da matemática em especial, permitem a Hegel fazer um diagnóstico, dos avanços e limites alcançados até então, que aponta as contradições do conceito de quantidade/quantum. Reconstruímos, inicialmente, a teoria da quantidade pura e seus momentos contínuo e discreto; depois, a dialética do quantum extensivo e intensivo, com os momentos do número que culminam na contradição do cálculo infinitesimal; enfim, na relação quantitativa articula-se a superação do déficit especulativo das próprias relações matemáticas, fazendo emergir, nesse sentido, o aspecto conceitual da quantidade enquanto qualidade. Ou seja, Hegel deduz na própria quantidade de modo imanente a dialética qualitativa, de modo que com essa explicitação a lógica quantitativa está determinada qualitativamente, ou seja, a matemática tem um sentido lógico especulativo. Pontifícia Universidade Católica de São Paulo2023-10-20info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/6343810.23925/2316-5278.2023v24i1:e63438Cognitio: Revista de Filosofia; Vol. 24 No. 1 (2023): Cognitio: Revista de Filosofia ; e63438Cognitio: Revista de Filosofia; v. 24 n. 1 (2023): Cognitio: Revista de Filosofia ; e634382316-52781518-7187reponame:Cognitio (São Paulo. Online)instname:Pontifícia Universidade Católica de São Paulo (PUC-SP)instacron:PUC_SPporhttps://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/63438/43409Copyright (c) 2023 http://creativecommons.org/licenses/by/4.0/https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessBavaresco, AgemirIber, Christian2023-09-04T11:24:55Zoai:ojs.pkp.sfu.ca:article/63438Revistahttps://revistas.pucsp.br/index.php/cognitiofilosofiaPRIhttps://revistas.pucsp.br/index.php/cognitiofilosofia/oairevcognitio@gmail.com2316-52781518-7187opendoar:2023-09-04T11:24:55Cognitio (São Paulo. Online) - Pontifícia Universidade Católica de São Paulo (PUC-SP)false |
| dc.title.none.fl_str_mv |
Logic of hegelian quantity Lógica da quantidade hegeliana |
| title |
Logic of hegelian quantity |
| spellingShingle |
Logic of hegelian quantity Bavaresco, Agemir Infinitude Quantitativa Lógica da Quantidade Matemática Relações quantitativas Dialéticas do Número Quantitative Infinity Quantitative relationships Quantity Logic Mathematics Number Dialectics |
| title_short |
Logic of hegelian quantity |
| title_full |
Logic of hegelian quantity |
| title_fullStr |
Logic of hegelian quantity |
| title_full_unstemmed |
Logic of hegelian quantity |
| title_sort |
Logic of hegelian quantity |
| author |
Bavaresco, Agemir |
| author_facet |
Bavaresco, Agemir Iber, Christian |
| author_role |
author |
| author2 |
Iber, Christian |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Bavaresco, Agemir Iber, Christian |
| dc.subject.por.fl_str_mv |
Infinitude Quantitativa Lógica da Quantidade Matemática Relações quantitativas Dialéticas do Número Quantitative Infinity Quantitative relationships Quantity Logic Mathematics Number Dialectics |
| topic |
Infinitude Quantitativa Lógica da Quantidade Matemática Relações quantitativas Dialéticas do Número Quantitative Infinity Quantitative relationships Quantity Logic Mathematics Number Dialectics |
| description |
Hegel’s Science of Logic presents in the Logic of Being, in the 2nd Section, Quantity, as a philosophy of modern mathematics. The stage of development of modern sciences in general, and of mathematics in particular, allow Hegel to make a diagnosis of the advances and limits reached so far, which points out the contradictions of the concept of quantity/quantum. We initially reconstructed the theory of pure quantity and its continuous and discrete moments; then, the dialectic of the extensive and intensive quantum, with the moments of number that culminate in the contradiction of infinitesimal calculus; finally, in the quantitative relationship, the overcoming of the speculative deficit of the mathematical relationships itself is articulated, giving rise, in this sense, to the conceptual aspect of quantity as quality. In other words, Hegel immanently deduces qualitative dialectic in quantity itself, so that with this explanation the quantitative logic is qualitatively determined, that is, mathematics has a speculative logical sense. |
| publishDate |
2023 |
| dc.date.none.fl_str_mv |
2023-10-20 |
| 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://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/63438 10.23925/2316-5278.2023v24i1:e63438 |
| url |
https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/63438 |
| identifier_str_mv |
10.23925/2316-5278.2023v24i1:e63438 |
| dc.language.iso.fl_str_mv |
por |
| language |
por |
| dc.relation.none.fl_str_mv |
https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/63438/43409 |
| dc.rights.driver.fl_str_mv |
Copyright (c) 2023 http://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
Copyright (c) 2023 http://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
Pontifícia Universidade Católica de São Paulo |
| publisher.none.fl_str_mv |
Pontifícia Universidade Católica de São Paulo |
| dc.source.none.fl_str_mv |
Cognitio: Revista de Filosofia; Vol. 24 No. 1 (2023): Cognitio: Revista de Filosofia ; e63438 Cognitio: Revista de Filosofia; v. 24 n. 1 (2023): Cognitio: Revista de Filosofia ; e63438 2316-5278 1518-7187 reponame:Cognitio (São Paulo. Online) instname:Pontifícia Universidade Católica de São Paulo (PUC-SP) instacron:PUC_SP |
| instname_str |
Pontifícia Universidade Católica de São Paulo (PUC-SP) |
| instacron_str |
PUC_SP |
| institution |
PUC_SP |
| reponame_str |
Cognitio (São Paulo. Online) |
| collection |
Cognitio (São Paulo. Online) |
| repository.name.fl_str_mv |
Cognitio (São Paulo. Online) - Pontifícia Universidade Católica de São Paulo (PUC-SP) |
| repository.mail.fl_str_mv |
revcognitio@gmail.com |
| _version_ |
1803387422624448512 |