Gardner’s Method for Syllogistic
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Data de Publicação: | 2014 |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Cognitio (São Paulo. Online) |
Texto Completo: | https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/18374 |
Resumo: | Martin Gardner introduced, in the 1950s, a method by digraphs for classical proposition allogic. He proposed, as an open problem, the adaptation of the method for syllogistic. In this paper I answer in the affirmative to Gardner’s question. The resulting method reinforces theses presented in previous works, namely that the validity of syllogisms follows from applications of only two rules, and because it reveals a much smaller number of valid syllogistic forms than suggested by the division in figures and moods, this division is artificial. Furthermore, it highlights the very different nature of two types of components of syllogisms(propositions of existence and rules for passing from a proposition of existence to another), whose distinction has been spontaneously acknowledged in its use by philosophers and jurists. Finally, it demonstrates that BRAMANTIP, amood of the fourth figure should be considered a weakened valid syllogism. |
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Gardner’s Method for SyllogisticMétodo de Gardner Para a SilogísticaKeywordsSyllogismRuleProposition of existenceDiagrammatic method.SilogismoRegraProposição de existênciaMétodo diagramático.Martin Gardner introduced, in the 1950s, a method by digraphs for classical proposition allogic. He proposed, as an open problem, the adaptation of the method for syllogistic. In this paper I answer in the affirmative to Gardner’s question. The resulting method reinforces theses presented in previous works, namely that the validity of syllogisms follows from applications of only two rules, and because it reveals a much smaller number of valid syllogistic forms than suggested by the division in figures and moods, this division is artificial. Furthermore, it highlights the very different nature of two types of components of syllogisms(propositions of existence and rules for passing from a proposition of existence to another), whose distinction has been spontaneously acknowledged in its use by philosophers and jurists. Finally, it demonstrates that BRAMANTIP, amood of the fourth figure should be considered a weakened valid syllogism.Martin Gardner apresentou, na década de 1950, um método por dígrafos para a lógica proposicional clássica. Ele propôs, como um problema em aberto, a adaptação do método para a silogística. Neste trabalho respondo afirmativamente à questão de Gardner. O método resultante reforça teses apresentadas em outros trabalhos, a saber, a validade dos silogismos se segue da aplicação de somente duas regras e porque ele revela a existência de uma quantidade muito menor de formas silogísticas válidas do que a sugerida pela divisão em figuras e modos, essa divisão é artificial. Além disso, ele destaca a natureza muito distinta de dois tipos de componentes dos silogismos, proposições de existência e regras para a passagem de uma proposição de existência a outra proposição de existência), cuja distinção está espontaneamente consagrada em sua utilização por filósofos e juristas. Finalmente, ele demonstra que BRAMANTIP, um modo da quarta figura, deve ser considerado um silogismo válido enfraquecido.Pontifícia Universidade Católica de São Paulo2014-03-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/18374Cognitio: Revista de Filosofia; Vol. 14 No. 2 (2013); 221-234Cognitio: Revista de Filosofia; v. 14 n. 2 (2013); 221-2342316-52781518-7187reponame:Cognitio (São Paulo. Online)instname:Pontifícia Universidade Católica de São Paulo (PUC-SP)instacron:PUC_SPporhttps://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/18374/13728Copyright (c) 2014 http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessSautter, Frank Thomas2024-07-01T13:09:37Zoai:ojs.pkp.sfu.ca:article/18374Revistahttps://revistas.pucsp.br/index.php/cognitiofilosofiaPRIhttps://revistas.pucsp.br/index.php/cognitiofilosofia/oairevcognitio@gmail.com2316-52781518-7187opendoar:2024-07-01T13:09:37Cognitio (São Paulo. Online) - Pontifícia Universidade Católica de São Paulo (PUC-SP)false |
dc.title.none.fl_str_mv |
Gardner’s Method for Syllogistic Método de Gardner Para a Silogística |
title |
Gardner’s Method for Syllogistic |
spellingShingle |
Gardner’s Method for Syllogistic Sautter, Frank Thomas Keywords Syllogism Rule Proposition of existence Diagrammatic method. Silogismo Regra Proposição de existência Método diagramático. |
title_short |
Gardner’s Method for Syllogistic |
title_full |
Gardner’s Method for Syllogistic |
title_fullStr |
Gardner’s Method for Syllogistic |
title_full_unstemmed |
Gardner’s Method for Syllogistic |
title_sort |
Gardner’s Method for Syllogistic |
author |
Sautter, Frank Thomas |
author_facet |
Sautter, Frank Thomas |
author_role |
author |
dc.contributor.author.fl_str_mv |
Sautter, Frank Thomas |
dc.subject.por.fl_str_mv |
Keywords Syllogism Rule Proposition of existence Diagrammatic method. Silogismo Regra Proposição de existência Método diagramático. |
topic |
Keywords Syllogism Rule Proposition of existence Diagrammatic method. Silogismo Regra Proposição de existência Método diagramático. |
description |
Martin Gardner introduced, in the 1950s, a method by digraphs for classical proposition allogic. He proposed, as an open problem, the adaptation of the method for syllogistic. In this paper I answer in the affirmative to Gardner’s question. The resulting method reinforces theses presented in previous works, namely that the validity of syllogisms follows from applications of only two rules, and because it reveals a much smaller number of valid syllogistic forms than suggested by the division in figures and moods, this division is artificial. Furthermore, it highlights the very different nature of two types of components of syllogisms(propositions of existence and rules for passing from a proposition of existence to another), whose distinction has been spontaneously acknowledged in its use by philosophers and jurists. Finally, it demonstrates that BRAMANTIP, amood of the fourth figure should be considered a weakened valid syllogism. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-03-12 |
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/18374 |
url |
https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/18374 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/18374/13728 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2014 http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2014 http://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. 14 No. 2 (2013); 221-234 Cognitio: Revista de Filosofia; v. 14 n. 2 (2013); 221-234 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 |
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1803387421355671552 |