Kepler and the fundamental theorem of optics

Detalhes bibliográficos
Autor(a) principal: Cardona, Carlos Alberto
Data de Publicação: 2021
Tipo de documento: Artigo
Idioma: spa
Título da fonte: Principia (Florianópolis. Online)
Texto Completo: https://periodicos.ufsc.br/index.php/principia/article/view/71458
Resumo: The article discusses the arguments with which Kepler demonstrates what we will call the fundamental theorem of optics. According to this theorem, a homocentric beam of light that passes through a transparent sphere, provided that the amplitude of the beam is small, is concentrated again at one point on the other side of the sphere. We show how the philosopher, using geometric analogies as paper tools and despite relying on both an imprecise law for refraction and certain approaches, came to an outcome that tradition incorporated as promising. Indeed, modern tradition incorporated the theorem by correcting what, in his view, were methodological errors.
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spelling Kepler and the fundamental theorem of opticsKepler y el teorema fundamental de la ópticaThe article discusses the arguments with which Kepler demonstrates what we will call the fundamental theorem of optics. According to this theorem, a homocentric beam of light that passes through a transparent sphere, provided that the amplitude of the beam is small, is concentrated again at one point on the other side of the sphere. We show how the philosopher, using geometric analogies as paper tools and despite relying on both an imprecise law for refraction and certain approaches, came to an outcome that tradition incorporated as promising. Indeed, modern tradition incorporated the theorem by correcting what, in his view, were methodological errors.En el artículo se ofrece un análisis de los argumentos que condujeron a Kepler a la defensa y demostración del teorema fundamental de la óptica. Según este teorema, un haz homocéntrico de luz que se ve obligado a atravesar una esfera transparente, siempre que la amplitud del haz no sea mayor, se concentra de nuevo en un punto al otro lado de la esfera. La demostración de Kepler se compara con la ofrecida por Malebranche años más tarde. Este teorema fue determinante para la consolidación de la óptica moderna.The article discusses the arguments with which Kepler demonstrates what we will call the fundamental theorem of optics. According to this theorem, a homocentric beam of light that passes through a transparent sphere, provided that the amplitude of the beam is small, is concentrated again at one point on the other side of the sphere. We show how the philosopher, using geometric analogies as paper tools and despite relying on both an imprecise law for refraction and certain approaches, came to an outcome that tradition incorporated as promising. Indeed, modern tradition incorporated the theorem by correcting what, in his view, were methodological errorsFederal University of Santa Catarina – UFSC2021-07-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufsc.br/index.php/principia/article/view/7145810.5007/1808-1711.2021.e71458Principia: an international journal of epistemology; Vol. 25 No. 1 (2021); 125–156Principia: an international journal of epistemology; Vol. 25 Núm. 1 (2021); 125–156Principia: an international journal of epistemology; v. 25 n. 1 (2021); 125–1561808-17111414-4247reponame:Principia (Florianópolis. Online)instname:Universidade Federal de Santa Catarina (UFSC)instacron:UFSCspahttps://periodicos.ufsc.br/index.php/principia/article/view/71458/46902Copyright (c) 2021 Carlos Alberto Cardonahttp://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessCardona, Carlos Alberto2021-09-17T17:24:36Zoai:periodicos.ufsc.br:article/71458Revistahttps://periodicos.ufsc.br/index.php/principiaPUBhttps://periodicos.ufsc.br/index.php/principia/oaiprincipia@contato.ufsc.br||principia@contato.ufsc.br1808-17111414-4247opendoar:2021-09-17T17:24:36Principia (Florianópolis. Online) - Universidade Federal de Santa Catarina (UFSC)false
dc.title.none.fl_str_mv Kepler and the fundamental theorem of optics
Kepler y el teorema fundamental de la óptica
title Kepler and the fundamental theorem of optics
spellingShingle Kepler and the fundamental theorem of optics
Cardona, Carlos Alberto
title_short Kepler and the fundamental theorem of optics
title_full Kepler and the fundamental theorem of optics
title_fullStr Kepler and the fundamental theorem of optics
title_full_unstemmed Kepler and the fundamental theorem of optics
title_sort Kepler and the fundamental theorem of optics
author Cardona, Carlos Alberto
author_facet Cardona, Carlos Alberto
author_role author
dc.contributor.author.fl_str_mv Cardona, Carlos Alberto
description The article discusses the arguments with which Kepler demonstrates what we will call the fundamental theorem of optics. According to this theorem, a homocentric beam of light that passes through a transparent sphere, provided that the amplitude of the beam is small, is concentrated again at one point on the other side of the sphere. We show how the philosopher, using geometric analogies as paper tools and despite relying on both an imprecise law for refraction and certain approaches, came to an outcome that tradition incorporated as promising. Indeed, modern tradition incorporated the theorem by correcting what, in his view, were methodological errors.
publishDate 2021
dc.date.none.fl_str_mv 2021-07-08
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://periodicos.ufsc.br/index.php/principia/article/view/71458
10.5007/1808-1711.2021.e71458
url https://periodicos.ufsc.br/index.php/principia/article/view/71458
identifier_str_mv 10.5007/1808-1711.2021.e71458
dc.language.iso.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://periodicos.ufsc.br/index.php/principia/article/view/71458/46902
dc.rights.driver.fl_str_mv Copyright (c) 2021 Carlos Alberto Cardona
http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2021 Carlos Alberto Cardona
http://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Federal University of Santa Catarina – UFSC
publisher.none.fl_str_mv Federal University of Santa Catarina – UFSC
dc.source.none.fl_str_mv Principia: an international journal of epistemology; Vol. 25 No. 1 (2021); 125–156
Principia: an international journal of epistemology; Vol. 25 Núm. 1 (2021); 125–156
Principia: an international journal of epistemology; v. 25 n. 1 (2021); 125–156
1808-1711
1414-4247
reponame:Principia (Florianópolis. Online)
instname:Universidade Federal de Santa Catarina (UFSC)
instacron:UFSC
instname_str Universidade Federal de Santa Catarina (UFSC)
instacron_str UFSC
institution UFSC
reponame_str Principia (Florianópolis. Online)
collection Principia (Florianópolis. Online)
repository.name.fl_str_mv Principia (Florianópolis. Online) - Universidade Federal de Santa Catarina (UFSC)
repository.mail.fl_str_mv principia@contato.ufsc.br||principia@contato.ufsc.br
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