HERACLITUS, PARMENIDES AND ZENO: : THE MATHEMATICAL HISTORY OF THE REDUCTIO AD ABSURDUM
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Journal of Interdisciplinary Debates |
Texto Completo: | https://www.periodicojs.com.br/index.php/jid/article/view/680 |
Resumo: | This article tells the story of the proof known as reductio ad absurdum, through the biographies of Heraclitus, Parmenides and his disciple Zeno. Emphasis is placed on Zeno’s paradoxes and some classic demonstrations of modern mathematics, in which proof by reductio ad absurdum is used widely. In other words, we intend to discuss the logical-mathematical history of reductio ad absurdum, from the birth of logic in Heraclitus, Parmenides and Zeno and ipso facto to establish a relationship between Heraclitus, Parmenides and Zeno and modern mathematical logic. The method used was the bibliographic, referring mainly to secondary sources due to the strictly theoretical nature of the subject. |
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HERACLITUS, PARMENIDES AND ZENO: : THE MATHEMATICAL HISTORY OF THE REDUCTIO AD ABSURDUMReductio ad Absurdum; Heraclitus; Parmenides; Zeno.This article tells the story of the proof known as reductio ad absurdum, through the biographies of Heraclitus, Parmenides and his disciple Zeno. Emphasis is placed on Zeno’s paradoxes and some classic demonstrations of modern mathematics, in which proof by reductio ad absurdum is used widely. In other words, we intend to discuss the logical-mathematical history of reductio ad absurdum, from the birth of logic in Heraclitus, Parmenides and Zeno and ipso facto to establish a relationship between Heraclitus, Parmenides and Zeno and modern mathematical logic. The method used was the bibliographic, referring mainly to secondary sources due to the strictly theoretical nature of the subject.Editora Acadêmica Periodicojs2022-03-31info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://www.periodicojs.com.br/index.php/jid/article/view/68010.51249/jid.v3i01.680Journal of Interdisciplinary Debates; Vol. 3 No. 01 (2022)Journal of Interdisciplinary Debates; v. 3 n. 01 (2022)2675-469X10.51249/jid.v3i01reponame:Journal of Interdisciplinary Debatesinstname:Instituto de Ensino e Pesquisa Periodicojsinstacron:IEPPporhttps://www.periodicojs.com.br/index.php/jid/article/view/680/538Copyright (c) 2022 Journal of Interdisciplinary Debatesinfo:eu-repo/semantics/openAccessAnna Sapunaru, Raquel Frederico G. Santiago, Douglas L Porto , AndersonR. Moraes , Beatriz M. Verissimo, Luísa 2022-03-31T12:34:58Zoai:ojs.pkp.sfu.ca:article/680Revistahttps://www.periodicojs.com.br/index.php/jid/indexPRIhttps://www.periodicojs.com.br/index.php/jid/oaijournalinterdisciplinary@gmail.com || periodicojs@gmail.com2675-469X2675-469Xopendoar:2022-03-31T12:34:58Journal of Interdisciplinary Debates - Instituto de Ensino e Pesquisa Periodicojsfalse |
dc.title.none.fl_str_mv |
HERACLITUS, PARMENIDES AND ZENO: : THE MATHEMATICAL HISTORY OF THE REDUCTIO AD ABSURDUM |
title |
HERACLITUS, PARMENIDES AND ZENO: : THE MATHEMATICAL HISTORY OF THE REDUCTIO AD ABSURDUM |
spellingShingle |
HERACLITUS, PARMENIDES AND ZENO: : THE MATHEMATICAL HISTORY OF THE REDUCTIO AD ABSURDUM Anna Sapunaru, Raquel Reductio ad Absurdum; Heraclitus; Parmenides; Zeno. |
title_short |
HERACLITUS, PARMENIDES AND ZENO: : THE MATHEMATICAL HISTORY OF THE REDUCTIO AD ABSURDUM |
title_full |
HERACLITUS, PARMENIDES AND ZENO: : THE MATHEMATICAL HISTORY OF THE REDUCTIO AD ABSURDUM |
title_fullStr |
HERACLITUS, PARMENIDES AND ZENO: : THE MATHEMATICAL HISTORY OF THE REDUCTIO AD ABSURDUM |
title_full_unstemmed |
HERACLITUS, PARMENIDES AND ZENO: : THE MATHEMATICAL HISTORY OF THE REDUCTIO AD ABSURDUM |
title_sort |
HERACLITUS, PARMENIDES AND ZENO: : THE MATHEMATICAL HISTORY OF THE REDUCTIO AD ABSURDUM |
author |
Anna Sapunaru, Raquel |
author_facet |
Anna Sapunaru, Raquel Frederico G. Santiago, Douglas L Porto , Anderson R. Moraes , Beatriz M. Verissimo, Luísa |
author_role |
author |
author2 |
Frederico G. Santiago, Douglas L Porto , Anderson R. Moraes , Beatriz M. Verissimo, Luísa |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Anna Sapunaru, Raquel Frederico G. Santiago, Douglas L Porto , Anderson R. Moraes , Beatriz M. Verissimo, Luísa |
dc.subject.por.fl_str_mv |
Reductio ad Absurdum; Heraclitus; Parmenides; Zeno. |
topic |
Reductio ad Absurdum; Heraclitus; Parmenides; Zeno. |
description |
This article tells the story of the proof known as reductio ad absurdum, through the biographies of Heraclitus, Parmenides and his disciple Zeno. Emphasis is placed on Zeno’s paradoxes and some classic demonstrations of modern mathematics, in which proof by reductio ad absurdum is used widely. In other words, we intend to discuss the logical-mathematical history of reductio ad absurdum, from the birth of logic in Heraclitus, Parmenides and Zeno and ipso facto to establish a relationship between Heraclitus, Parmenides and Zeno and modern mathematical logic. The method used was the bibliographic, referring mainly to secondary sources due to the strictly theoretical nature of the subject. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-03-31 |
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://www.periodicojs.com.br/index.php/jid/article/view/680 10.51249/jid.v3i01.680 |
url |
https://www.periodicojs.com.br/index.php/jid/article/view/680 |
identifier_str_mv |
10.51249/jid.v3i01.680 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://www.periodicojs.com.br/index.php/jid/article/view/680/538 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2022 Journal of Interdisciplinary Debates info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2022 Journal of Interdisciplinary Debates |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Editora Acadêmica Periodicojs |
publisher.none.fl_str_mv |
Editora Acadêmica Periodicojs |
dc.source.none.fl_str_mv |
Journal of Interdisciplinary Debates; Vol. 3 No. 01 (2022) Journal of Interdisciplinary Debates; v. 3 n. 01 (2022) 2675-469X 10.51249/jid.v3i01 reponame:Journal of Interdisciplinary Debates instname:Instituto de Ensino e Pesquisa Periodicojs instacron:IEPP |
instname_str |
Instituto de Ensino e Pesquisa Periodicojs |
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IEPP |
institution |
IEPP |
reponame_str |
Journal of Interdisciplinary Debates |
collection |
Journal of Interdisciplinary Debates |
repository.name.fl_str_mv |
Journal of Interdisciplinary Debates - Instituto de Ensino e Pesquisa Periodicojs |
repository.mail.fl_str_mv |
journalinterdisciplinary@gmail.com || periodicojs@gmail.com |
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