On a finite and discrete algebraic model for educing space and movement from prime matter

Detalhes bibliográficos
Autor(a) principal: Costa, Rodolfo Petrônio da
Data de Publicação: 2018
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revista Archai (Online)
Texto Completo: https://periodicos.unb.br/index.php/archai/article/view/12790
Resumo: In this paper we aim at presenting a finite and discrete algebraic model for the Aristotelian concept of substratum or prime matter (proté hylé), based upon further developments on this concept as carried out by Thomas Aquinas. Rather than considering it to be an outdated and obscure concept, it is shown how much profitable and current this Aristotelian insight is, both on the reality (yet not an individual) of a substratum that would pervade the whole of physical nature and on being the basic matrix for bodily genesis and corruption. This basic insight, despite of being a much controverted object over time, has been accepted by renowned authors, although in no way examined through any mathematical modeling. Additionally, it is essential that this substratum be endowed with qualities which allow the extraction of both space and bodily movement from itself. In this work, we present an algebraic model ex hypothesis isomorphic to the substratum, from which some relevant results like space extension and the dynamic character of matter are derived, and also a basic relation between operators which are obtained from dual vector spaces on the algebra and that provides the discrete case for Heisenberg’s uncertainty relations.
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spelling On a finite and discrete algebraic model for educing space and movement from prime matterSobre um modelo algébrico finito e discreto para a edução do espaço e do movimento a partir da matéria primeirametafísicaontologia da matériafilosofia da naturezafilosofia da físicametaphysicsontology of matterphilosophy of naturephilosophy of physicsIn this paper we aim at presenting a finite and discrete algebraic model for the Aristotelian concept of substratum or prime matter (proté hylé), based upon further developments on this concept as carried out by Thomas Aquinas. Rather than considering it to be an outdated and obscure concept, it is shown how much profitable and current this Aristotelian insight is, both on the reality (yet not an individual) of a substratum that would pervade the whole of physical nature and on being the basic matrix for bodily genesis and corruption. This basic insight, despite of being a much controverted object over time, has been accepted by renowned authors, although in no way examined through any mathematical modeling. Additionally, it is essential that this substratum be endowed with qualities which allow the extraction of both space and bodily movement from itself. In this work, we present an algebraic model ex hypothesis isomorphic to the substratum, from which some relevant results like space extension and the dynamic character of matter are derived, and also a basic relation between operators which are obtained from dual vector spaces on the algebra and that provides the discrete case for Heisenberg’s uncertainty relations.Este artigo tem por objetivo apresentar um modelo algébrico finito e discreto para o conceito aristotélico de substrato ou matéria prima (proté hylé) com base no desenvolvimento posterior deste conceito em Tomás de Aquino. De forma oposta a considerá-lo como um conceito ultrapassado e obscuro, mostra-se a atualidade e proficuidade desta intuição aristotélica sobre a realidade, ainda que não individualizada, de um substrato que permearia a totalidade da natureza física, sendo a matriz fundamental para a gênese e a corrupção corpóreas. Esta intuição básica ainda que objeto de controvérsia ao longo do tempo foi aceita por diversos autores de destaque, porém em nenhum caso foi explorada através de um modelo matemático. Ademais, é fundamental que o substrato esteja dotado de qualidades que tornem possível que dele se possa extrair tanto o espaço como o movimento corpóreo. Neste trabalho, apresentamos um modelo algébrico por hipótese isomorfo ao substrato, do qual extraímos consequências relevantes, como a extensão do espaço e o caráter dinâmico da matéria, além de uma relação básica entre operadores derivados de espaços vetoriais duais da álgebra que formalmente provê o caso discreto da relação de incerteza de Heisenberg.Cátedra UNESCO Archai (Universidade de Brasília); Imprensa da Universidade de Coimbra, Portugal; Annablume Editora, São Paulo, Brasil2018-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticlesArtigosapplication/pdfhttps://periodicos.unb.br/index.php/archai/article/view/1279010.14195/1984-249X_24_2Revista Archai; No. 24 (2018): Archai Journal nº24 (September, 2018); 35Archai Journal; n. 24 (2018): Revista Archai nº24 (setembro, 2018); 351984-249X2179-496010.14195/1984-249X_24reponame:Revista Archai (Online)instname:Universidade de Brasília (UnB)instacron:UNBporhttps://periodicos.unb.br/index.php/archai/article/view/12790/11176Costa, Rodolfo Petrônio dainfo:eu-repo/semantics/openAccess2019-08-19T15:34:23Zoai:ojs.pkp.sfu.ca:article/12790Revistahttps://periodicos.unb.br/index.php/archaiPUBhttps://periodicos.unb.br/index.php/archai/oai||archaijournal@unb.br|| cornelli@unb.br1984-249X1984-249Xopendoar:2019-08-19T15:34:23Revista Archai (Online) - Universidade de Brasília (UnB)false
dc.title.none.fl_str_mv On a finite and discrete algebraic model for educing space and movement from prime matter
Sobre um modelo algébrico finito e discreto para a edução do espaço e do movimento a partir da matéria primeira
title On a finite and discrete algebraic model for educing space and movement from prime matter
spellingShingle On a finite and discrete algebraic model for educing space and movement from prime matter
Costa, Rodolfo Petrônio da
metafísica
ontologia da matéria
filosofia da natureza
filosofia da física
metaphysics
ontology of matter
philosophy of nature
philosophy of physics
title_short On a finite and discrete algebraic model for educing space and movement from prime matter
title_full On a finite and discrete algebraic model for educing space and movement from prime matter
title_fullStr On a finite and discrete algebraic model for educing space and movement from prime matter
title_full_unstemmed On a finite and discrete algebraic model for educing space and movement from prime matter
title_sort On a finite and discrete algebraic model for educing space and movement from prime matter
author Costa, Rodolfo Petrônio da
author_facet Costa, Rodolfo Petrônio da
author_role author
dc.contributor.author.fl_str_mv Costa, Rodolfo Petrônio da
dc.subject.por.fl_str_mv metafísica
ontologia da matéria
filosofia da natureza
filosofia da física
metaphysics
ontology of matter
philosophy of nature
philosophy of physics
topic metafísica
ontologia da matéria
filosofia da natureza
filosofia da física
metaphysics
ontology of matter
philosophy of nature
philosophy of physics
description In this paper we aim at presenting a finite and discrete algebraic model for the Aristotelian concept of substratum or prime matter (proté hylé), based upon further developments on this concept as carried out by Thomas Aquinas. Rather than considering it to be an outdated and obscure concept, it is shown how much profitable and current this Aristotelian insight is, both on the reality (yet not an individual) of a substratum that would pervade the whole of physical nature and on being the basic matrix for bodily genesis and corruption. This basic insight, despite of being a much controverted object over time, has been accepted by renowned authors, although in no way examined through any mathematical modeling. Additionally, it is essential that this substratum be endowed with qualities which allow the extraction of both space and bodily movement from itself. In this work, we present an algebraic model ex hypothesis isomorphic to the substratum, from which some relevant results like space extension and the dynamic character of matter are derived, and also a basic relation between operators which are obtained from dual vector spaces on the algebra and that provides the discrete case for Heisenberg’s uncertainty relations.
publishDate 2018
dc.date.none.fl_str_mv 2018-09-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articles
Artigos
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.unb.br/index.php/archai/article/view/12790
10.14195/1984-249X_24_2
url https://periodicos.unb.br/index.php/archai/article/view/12790
identifier_str_mv 10.14195/1984-249X_24_2
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.unb.br/index.php/archai/article/view/12790/11176
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 Cátedra UNESCO Archai (Universidade de Brasília); Imprensa da Universidade de Coimbra, Portugal; Annablume Editora, São Paulo, Brasil
publisher.none.fl_str_mv Cátedra UNESCO Archai (Universidade de Brasília); Imprensa da Universidade de Coimbra, Portugal; Annablume Editora, São Paulo, Brasil
dc.source.none.fl_str_mv Revista Archai; No. 24 (2018): Archai Journal nº24 (September, 2018); 35
Archai Journal; n. 24 (2018): Revista Archai nº24 (setembro, 2018); 35
1984-249X
2179-4960
10.14195/1984-249X_24
reponame:Revista Archai (Online)
instname:Universidade de Brasília (UnB)
instacron:UNB
instname_str Universidade de Brasília (UnB)
instacron_str UNB
institution UNB
reponame_str Revista Archai (Online)
collection Revista Archai (Online)
repository.name.fl_str_mv Revista Archai (Online) - Universidade de Brasília (UnB)
repository.mail.fl_str_mv ||archaijournal@unb.br|| cornelli@unb.br
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