On Peirce’s Discovery of Cantor’s Theorem1

Detalhes bibliográficos
Autor(a) principal: Moore, Matthew E.
Data de Publicação: 2013
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Cognitio (São Paulo. Online)
Texto Completo: https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/12224
Resumo: In 1897 C.S. Peirce published a proof of what is now known as Cantor’s Theorem. Though Peirce always claimed credit for discovery of this result, Cantor had published a proof of it in 1891, in a paper of which Peirce is known to have had a copy. I argue that Peirce’s discovery took place in 1896 and was indeed independent, though it was stimulated by the definition of cardinal exponentiation that Cantor first published in 1895.
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spelling On Peirce’s Discovery of Cantor’s Theorem1Sobre a Descoberta de Peirce do Teorema de CantorCantorColeçãoConjunto de poderMultitudePeirce.CantorCollectionMultitudePeircePower set.In 1897 C.S. Peirce published a proof of what is now known as Cantor’s Theorem. Though Peirce always claimed credit for discovery of this result, Cantor had published a proof of it in 1891, in a paper of which Peirce is known to have had a copy. I argue that Peirce’s discovery took place in 1896 and was indeed independent, though it was stimulated by the definition of cardinal exponentiation that Cantor first published in 1895.Em 1897, C.S. Peirce publicou uma prova do que é hoje conhecido como Teorema de Cantor. Embora Peirce tenha sempre reivindicado crédito pela descoberta desse resultado, Cantor tinha publicado uma prova do mesmo em 1891, em um trabalho do qual se sabe que Peirce tinha uma cópia. Argumento que a descoberta de Peirce ocorreu em 1896 e foi,de fato, independente, embora tenha sido estimulada pela definição de exponenciação cardeal que Cantor primeiro publicara em 1895.Pontifícia Universidade Católica de São Paulo2013-01-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/12224Cognitio: Revista de Filosofia; Vol. 8 No. 2 (2007); 223-248Cognitio: Revista de Filosofia; v. 8 n. 2 (2007); 223-2482316-52781518-7187reponame:Cognitio (São Paulo. Online)instname:Pontifícia Universidade Católica de São Paulo (PUC-SP)instacron:PUC_SPenghttps://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/12224/8863Copyright (c) 2013 http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessMoore, Matthew E.2024-07-01T13:09:30Zoai:ojs.pkp.sfu.ca:article/12224Revistahttps://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 On Peirce’s Discovery of Cantor’s Theorem1
Sobre a Descoberta de Peirce do Teorema de Cantor
title On Peirce’s Discovery of Cantor’s Theorem1
spellingShingle On Peirce’s Discovery of Cantor’s Theorem1
Moore, Matthew E.
Cantor
Coleção
Conjunto de poder
Multitude
Peirce.
Cantor
Collection
Multitude
Peirce
Power set.
title_short On Peirce’s Discovery of Cantor’s Theorem1
title_full On Peirce’s Discovery of Cantor’s Theorem1
title_fullStr On Peirce’s Discovery of Cantor’s Theorem1
title_full_unstemmed On Peirce’s Discovery of Cantor’s Theorem1
title_sort On Peirce’s Discovery of Cantor’s Theorem1
author Moore, Matthew E.
author_facet Moore, Matthew E.
author_role author
dc.contributor.author.fl_str_mv Moore, Matthew E.
dc.subject.por.fl_str_mv Cantor
Coleção
Conjunto de poder
Multitude
Peirce.
Cantor
Collection
Multitude
Peirce
Power set.
topic Cantor
Coleção
Conjunto de poder
Multitude
Peirce.
Cantor
Collection
Multitude
Peirce
Power set.
description In 1897 C.S. Peirce published a proof of what is now known as Cantor’s Theorem. Though Peirce always claimed credit for discovery of this result, Cantor had published a proof of it in 1891, in a paper of which Peirce is known to have had a copy. I argue that Peirce’s discovery took place in 1896 and was indeed independent, though it was stimulated by the definition of cardinal exponentiation that Cantor first published in 1895.
publishDate 2013
dc.date.none.fl_str_mv 2013-01-22
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/12224
url https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/12224
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistas.pucsp.br/index.php/cognitiofilosofia/article/view/12224/8863
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. 8 No. 2 (2007); 223-248
Cognitio: Revista de Filosofia; v. 8 n. 2 (2007); 223-248
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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