Cogito ergo sum non machina! On the Human Recognition of Truths in Arithmetic and Turing Machines
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Data de Publicação: | 2013 |
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Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Cognitio (São Paulo. Online) |
Texto Completo: | https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/12871 |
Resumo: | The objective of this paper is to discuss the existence of limits in thepossibility of modeling human behavior by formal system or computationalalgorisms. More specifically, we will discuss herein the impossibility ofcompletely modeling by algorisms or formal theories the human capability ofestablishing the truth of first order arithmetical formula. The answer exposedhere is based on a new analysis of the consequences of Gödel’s First Incompleteness Theorem and we will show here why and how this Theoremimplies the impossibility of such a modelling. |
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Cogito ergo sum non machina! On the Human Recognition of Truths in Arithmetic and Turing MachinesCogito ergo sum non machina! Sobre o Reconhecimento Humano de VerdadesFormal systemsAlgorithmsGödel’s theoremsSistemas formaisAlgoritmosTeoremas de Gödel.The objective of this paper is to discuss the existence of limits in thepossibility of modeling human behavior by formal system or computationalalgorisms. More specifically, we will discuss herein the impossibility ofcompletely modeling by algorisms or formal theories the human capability ofestablishing the truth of first order arithmetical formula. The answer exposedhere is based on a new analysis of the consequences of Gödel’s First Incompleteness Theorem and we will show here why and how this Theoremimplies the impossibility of such a modelling.O objetivo deste artigo é discutir sobre a existência de limites para a possibilidade de modelagem do comportamento humano por sistemas formais ou algoritmos computacionais. Mais especificamente, o artigo trata da impossibilidade de modelagem completa por algoritmos ou teorias formais da capacidade humana de estabelecer a veracidade de fórmulas da aritmética de primeira ordem. A resposta aqui apresentada, baseada em uma nova análise feita a partir do Primeiro Teorema da Incompletude de Gödel, busca apresentar o porquê e como esse teorema implica na impossibilidade de construção de tal modelagem.Pontifícia Universidade Católica de São Paulo2013-01-24info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/12871Cognitio: Revista de Filosofia; Vol. 10 No. 2 (2009); 221-230Cognitio: Revista de Filosofia; v. 10 n. 2 (2009); 221-2302316-52781518-7187reponame:Cognitio (São Paulo. Online)instname:Pontifícia Universidade Católica de São Paulo (PUC-SP)instacron:PUC_SPporhttps://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/12871/9374Copyright (c) 2013 http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessTassinari, Ricardo PereiraD’Ottaviano, Itala M. Loffredo2024-07-01T13:09:30Zoai:ojs.pkp.sfu.ca:article/12871Revistahttps://revistas.pucsp.br/index.php/cognitiofilosofiaPRIhttps://revistas.pucsp.br/index.php/cognitiofilosofia/oairevcognitio@gmail.com2316-52781518-7187opendoar:2024-07-01T13:09:30Cognitio (São Paulo. Online) - Pontifícia Universidade Católica de São Paulo (PUC-SP)false |
dc.title.none.fl_str_mv |
Cogito ergo sum non machina! On the Human Recognition of Truths in Arithmetic and Turing Machines Cogito ergo sum non machina! Sobre o Reconhecimento Humano de Verdades |
title |
Cogito ergo sum non machina! On the Human Recognition of Truths in Arithmetic and Turing Machines |
spellingShingle |
Cogito ergo sum non machina! On the Human Recognition of Truths in Arithmetic and Turing Machines Tassinari, Ricardo Pereira Formal systems Algorithms Gödel’s theorems Sistemas formais Algoritmos Teoremas de Gödel. |
title_short |
Cogito ergo sum non machina! On the Human Recognition of Truths in Arithmetic and Turing Machines |
title_full |
Cogito ergo sum non machina! On the Human Recognition of Truths in Arithmetic and Turing Machines |
title_fullStr |
Cogito ergo sum non machina! On the Human Recognition of Truths in Arithmetic and Turing Machines |
title_full_unstemmed |
Cogito ergo sum non machina! On the Human Recognition of Truths in Arithmetic and Turing Machines |
title_sort |
Cogito ergo sum non machina! On the Human Recognition of Truths in Arithmetic and Turing Machines |
author |
Tassinari, Ricardo Pereira |
author_facet |
Tassinari, Ricardo Pereira D’Ottaviano, Itala M. Loffredo |
author_role |
author |
author2 |
D’Ottaviano, Itala M. Loffredo |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Tassinari, Ricardo Pereira D’Ottaviano, Itala M. Loffredo |
dc.subject.por.fl_str_mv |
Formal systems Algorithms Gödel’s theorems Sistemas formais Algoritmos Teoremas de Gödel. |
topic |
Formal systems Algorithms Gödel’s theorems Sistemas formais Algoritmos Teoremas de Gödel. |
description |
The objective of this paper is to discuss the existence of limits in thepossibility of modeling human behavior by formal system or computationalalgorisms. More specifically, we will discuss herein the impossibility ofcompletely modeling by algorisms or formal theories the human capability ofestablishing the truth of first order arithmetical formula. The answer exposedhere is based on a new analysis of the consequences of Gödel’s First Incompleteness Theorem and we will show here why and how this Theoremimplies the impossibility of such a modelling. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-01-24 |
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/12871 |
url |
https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/12871 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/12871/9374 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2013 http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2013 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. 10 No. 2 (2009); 221-230 Cognitio: Revista de Filosofia; v. 10 n. 2 (2009); 221-230 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_ |
1803387420426633216 |